WEBVTT

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Welcome to the Deep Dive, where we take your

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stack of sources and distill the absolute essence.

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Today's mission is all about knowledge optimization.

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We're giving you the shortcut to being well informed

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on two really critical financial metrics. That's

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right. Metrics that... Every investor and honestly,

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even anyone interested in organizational efficiency

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really needs to understand. We are diving deep

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into the expense ratio and the Sharpe ratio.

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And these are not just, you know, abstract concepts

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for Wall Street analysts. If you, the learner,

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are evaluating a retirement fund or maybe you're

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vetting a hedge fund manager or even just deciding

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which charity to support. Right. These two ratios

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are the lenses. They help you evaluate both the

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guaranteed cost of accessing a return and, well,

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the. quality of that return, adjusting for the

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risk you're taking. And we're going to spend

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time on the surprising implications, not just

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the textbook definition. Absolutely. Okay, let's

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unpack this. We have some excellent source material

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here defining both of these terms and exploring

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their implications in mutual funds, hedge funds,

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and even charity organizations. It's a wide -ranging

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topic. It is. So let's start with the metric

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that's, well, it's concrete and it's guaranteed

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because it silently eats away at returns every

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single year. The expense ratio. Right. The invisible

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cost. The invisible cost of investing. So the

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expense ratio, or ER, is actually pretty straightforward

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in what it represents. It's the total percentage

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of a fund's assets that gets consumed annually

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by all the operational costs of just running

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that fund. Okay. We're assuming our listener

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knows the basics, so let's jump right into the

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nuance. The ER is that total percentage for administrative,

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management, all those operating expenses. What's

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the key implication of that percentage hit? The

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implication is, well, it's brutal and direct.

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If a fund has an ER of, say, 1 .2 percent, then

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1 .2 percent of the fund's total assets are just

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subtracted annually. Regardless of performance.

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Regardless of whether the fund makes money or

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loses money. It's a structural drag that directly

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reduces your gross return before you see a single

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cent of profit. Now, a common misconception is

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that the expense ratio represents the entire

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cost of owning that fund. But that's misleading,

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isn't it? Oh, it is absolutely crucial to be

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clear on what the ER does not include. It doesn't

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cover sales loads. Which are the upfront or deferred

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charges. Exactly. The sales charges you pay when

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you buy or sell shares. And it also doesn't cover

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brokerage commissions. I mean, those are the

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transaction costs the fund manager racks up when

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they're buying and selling securities inside

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the fund. So those are separate costs borne by

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the investor. They are, and they can be substantial,

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especially for funds that are really actively

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traded. So the ER is like the internal engine's

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operating cost. And that cost isn't just a random

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number. It's influenced by some pretty clear

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structural factors. What drives it up or down?

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There are two primary factors. First one is fund

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size. This all comes down to economies of scale.

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Okay. Think about it. A smaller fund has the

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same mandatory fixed costs as a huge fund. Things

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like annual regulatory audits, legal compliance,

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even rent for the office. If you have to spread

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those fixed costs over a small asset base, the

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resulting ER as a percentage just has to be higher.

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So as the fund gets bigger, that percentage should

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drop. It should theoretically drop. But as we're

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going to discuss in a bit, that often doesn't

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happen as much as you think because of how the

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other fees are structured. And the second factor

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has to do with effort. Yeah. Management style.

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Yes. So passively managed funds, you know, the

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ones just tracking an index like the S &amp;P 500,

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they typically have significantly lower expense

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ratios. We're talking basis points here, like

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hundreds of a percent, maybe 0 .05 percent or

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0 .10 percent. Because they're not doing a ton

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of research. Right. They require minimal research,

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fewer decision making resources. On the flip

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side, you have actively managed funds. This is

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where a highly paid team of analysts and portfolio

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managers is trying. to beat the market. That

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requires enormous overhead and research spending,

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which drives their ERs way higher, often into

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the 1 .0 % to 2 .0 % range. Let's focus on a

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specific and often pretty controversial line

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item in U .S. funds, the 12B1 fee. Our source

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details the specific caps on this, but instead

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of just reciting the rule, let's talk about the

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implication. The 12B1 fee is maybe the most fascinating

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component because it is essentially the fund's

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marketing and distribution expense, and it's

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paid for by you, the investor. My money is paying

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for the ads. Your capital is paying to attract

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other investors. This fee, it's generally capped

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by Fenar at 1 .00%, broken down as 0 .75 % for

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distribution and 0 .25 % for shareholder servicing.

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That feels really counterintuitive. I'm paying

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a fee so the fund can grow. Which you could argue

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benefits the fund manager in the company more

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than it benefits me, the existing shareholder.

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And that's precisely the implication. I mean,

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proponents will argue that growth ultimately

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benefits shareholders by helping the fund achieve

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those economies of scale we just mentioned. Right.

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But in practice, it's a direct cost for marketing.

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For a well -informed investor, if you see a substantial

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12B1 fee, it should raise a flag about where

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the fund's priorities are. Is it performance

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or is it expansion? Now, here's where the analysis

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moves beyond just... the definition and into

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actual strategy. Unlike trying to predict future

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stock returns, which is, well, it's notoriously

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difficult. The fool's errand, some would say.

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Fund expenses are highly predictable. This is

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a huge advantage for you as an investor. Funds

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with... Historically high expense ratios tend

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to, you know, continue having high ratios. This

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is why our source material really stresses examining

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the financial highlights section in the prospectus.

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Look at the ER history over the last five years.

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If it hasn't dropped, there's very little reason

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to believe it suddenly will. And the question

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is why. Why is it so hard for a fund that's been

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around for years to suddenly slash its expenses?

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Doesn't the massive growth of assets under management,

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the AUM, inherently make that ratio drop? That

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is the critical question. And it all comes down

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to the mix of fixed and variable costs because

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they behave very differently when you measure

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them as a percentage. It requires some careful

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differentiation. Okay, let's try to use that

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small business analogy you suggested to simplify

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this because it can be a conceptual hurdle. Let's

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break down the costs. The majority of the biggest

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operational costs in a mutual fund, like the

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management fee, that's set as a percentage of

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AUM. So let's say, for example, the management

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fee is 0 .75%. That 0 .75 % is fixed on a percentage

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basis. If the fund doubles in size, the manager's

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dollar payout doubles, sure, but the percentage

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taken from your assets stays at 0 .75%. So it's

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a variable dollar cost but a fixed percentage

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cost. Exactly. And that percentage is sticky.

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It generally doesn't change unless the AUM hits

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some pre -agreed breakpoint, which is pretty

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rare for older funds. So the biggest piece of

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the pie... the manager's compensation is mathematically

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designed to stay constant. As a percentage drag

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on me, the investor. Precisely. Now you compare

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that to the truly fixed costs, the costs that

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are a fixed lump sum of dollars. Like rent. Rent,

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the annual audit fee, regulatory filing costs.

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If the fund is small, maybe $100 ,000 audit fee

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consumes 0 .25 % of AUM. But if that fund grows

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tenfold, that same $100 ,000 audit fee now only

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consumes 0 .025 % of AUM. This is where economies

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of scale actually provide a benefit. I see. So

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while those fixed lump sum costs, their percentage

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of... impact goes down as the fund grows, the

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majority of the cost, that big management fee,

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it stays glued to the total assets. Correct.

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And because that management fee usually just

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dwarfs the fixed dollar costs, the overall expense

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ratio tends to be pretty constant. That makes

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significant future reductions very unlikely for

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historical funds. If you buy a fund with a 1

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.5 % ER today, you are essentially signing up

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for a permanent 1 .5 % headwind against your

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returns for the lifetime of that investment.

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Now, let's pivot to a fascinating implication

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of this cost structure. The expense ratios damage

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isn't linear. It's disproportionately devastating

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depending on the type of investment you choose.

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And here's where the math really moves from just

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accounting into investment strategy. We need

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to look at the ER relative to the expected gross

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returns of the asset class. So let's use three

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categories with dramatically different expected

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returns. Equity funds, bond funds, and money

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market funds. And we'll use a high fixed one

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per turn ER across the board just for this illustration,

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even though, you know, real world index funds

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are much cheaper. So starting with the highest

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return environment, equity. funds. Historically,

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let's assume an average gross return of 9 % for

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a typical equity fund before you take out any

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fees. That 1 % ER consumes approximately 11 %

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of your return. That's 1 divided by 9. It's a

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significant cut. It is, but you still retain

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89 % of the gross return. Okay, now we move to

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bond funds, a medium return environment. Bond

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funds typically have lower historical gross returns,

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so let's say 8%. That same 1 % ER now consumes

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about 12 .5 % of the investor's return, 1 divided

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by 8. The fee itself hasn't changed, but the

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relative drag is already higher because the denominator

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of the return is smaller. And this effect becomes

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extreme. when we look at those low -yield, short

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-term investments like money market funds? This

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is where the expense ratio becomes truly devastating.

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Assuming a typical long -term historical gross

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return of only 5%, that 1 % ER now consumes a

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substantial 20 % of the historical total return.

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That's 1 divided by 5. Wow. So in this simplified

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example, the same 1 % fee is nearly twice as

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painful in a bond fund as it is in an equity

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fund, and then almost double again in a money

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market fund. Exactly. And this analysis becomes

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even more critical when you factor in inflation.

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If you have a money market fund that's yielding

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5 % gross and a 1 % ER, your net return is 4%.

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If inflation is 3%, your real return is only

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1%. So that 1 % fee consumed a massive chunk

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of the profit and a little bit of inflation ate

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up most of what was left. That's right. The key

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takeaway here for you, the listener, is clear.

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You have to consider the ER relative to the expected

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returns of the asset class. In the current environment,

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where fixed income returns have often been compressed

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or even negative in real terms, a high ER is

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far more damaging to a low return investment

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than to a potentially high return, high volatility

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one. Before we move on from fund analysis, we

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need to touch on a specific issue that can often

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cloak the true expense structure, particularly

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in funds that are just getting started, this

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concept of waivers and recoupments. is so essential

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for investors who are looking at newer funds.

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As we mentioned, new funds inherently have high

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expenses because their asset base is small and

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those fixed lump sums, they hit hard. So to attract

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early investors, the fund advisors will often

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enter into what are called waivers or reimbursement

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agreements. So the advisor is temporarily footing

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the bill. to artificially push down the reported

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ER just to make the fund look competitive. What's

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the catch? The catch is the recoupment plan.

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These waived or reimbursed amounts, the money

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the advisor essentially lent the fund, often

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have to be repaid by the fund later on. SEC rules

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generally allow funds up to three years from

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the date the expense was incurred to collect

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this money back. So an investor buys a fund in

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year one because the ER is, say, 0 .5 % because

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of a waiver, but that 0 .5 % was artificially

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low. Then in year three, the fund performs well,

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and suddenly the management is allowed to claw

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back those waived expenses from the previous

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two years. Precisely. The implication for future

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shareholders is that you may be required to absorb

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expenses that were incurred by the fund during

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prior years. It's like a hidden debt that subsequent

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investors are responsible for repaying. It feels

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like an ethical gray area. It is. The fiduciary

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incentive is to waive costs to attract assets,

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knowing that those costs can be recovered later

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from what will hopefully be a larger pool of

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shareholders. So the lesson here is that you

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can never just look at the current ER of a new

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fund. You have to check the prospectus for any

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active recoupment plan because that beautiful

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low ER might be hiding a future increase just

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waiting to be triggered. That's the key. We've

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seen the ER as a measure of investment leakage.

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But this concept of operational efficiency, how

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much money is consumed by the administrative

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engine, is essential in other sectors too. Let's

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look at how donors use a parallel metric in the

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world of nonprofits. This is a direct conceptual

00:12:15.320 --> 00:12:17.980
translation. For charities and for donors, the

00:12:17.980 --> 00:12:21.200
primary focus is the program expense ratio. It's

00:12:21.200 --> 00:12:23.039
the percentage of a charity's total expenses

00:12:23.039 --> 00:12:25.460
that go directly into executing the charitable

00:12:25.460 --> 00:12:27.879
mission, you know, the program services. So if

00:12:27.879 --> 00:12:31.759
a charity spends $100 total, And $85 of that

00:12:31.759 --> 00:12:34.879
goes to, say, feeding the hungry. The program

00:12:34.879 --> 00:12:38.320
expense ratio is 85%. Correct. Which leaves us

00:12:38.320 --> 00:12:41.059
with the remainder. The support service expense

00:12:41.059 --> 00:12:44.580
ratio, which is commonly, though often inaccurately,

00:12:44.600 --> 00:12:47.379
just called overhead. By definition, the program

00:12:47.379 --> 00:12:49.320
expense ratio plus the support service expense

00:12:49.320 --> 00:12:52.649
ratio, they have to equal 100%. And the simple

00:12:52.649 --> 00:12:54.909
common rubric is that a higher program expense

00:12:54.909 --> 00:12:58.149
ratio and thus lower overhead signals greater

00:12:58.149 --> 00:13:00.529
efficiency, which makes the charity more attractive

00:13:00.529 --> 00:13:03.009
to donors. That is the initial surface level

00:13:03.009 --> 00:13:05.570
assessment. But leading sources of information

00:13:05.570 --> 00:13:08.269
about charities like Charity Navigator and GuideStar,

00:13:08.409 --> 00:13:11.190
they strongly caution against blindly pursuing

00:13:11.190 --> 00:13:13.750
the lowest possible overhead. This is really

00:13:13.750 --> 00:13:16.110
where critical thinking is required. Why is optimizing

00:13:16.110 --> 00:13:18.690
for low overhead potentially a bad thing? Well,

00:13:18.769 --> 00:13:20.590
it can lead to what's called the starvation cycle.

00:13:21.200 --> 00:13:24.120
If a charity focuses obsessively on keeping its

00:13:24.120 --> 00:13:27.360
overhead staff, salaries, technology, facilities,

00:13:27.879 --> 00:13:31.779
fundraising below, say, 10%, they might underpay

00:13:31.779 --> 00:13:34.759
critical staff, use outdated and inefficient

00:13:34.759 --> 00:13:38.080
technology, and they might fail to invest adequately

00:13:38.080 --> 00:13:40.860
in effective fundraising or proper impact evaluation.

00:13:41.769 --> 00:13:43.669
So they look efficient on paper, but they're

00:13:43.669 --> 00:13:47.110
struggling to scale or maximize their long -term

00:13:47.110 --> 00:13:49.529
mission effectiveness. Precisely. They might

00:13:49.529 --> 00:13:52.350
have a fantastic program expense ratio, but they're

00:13:52.350 --> 00:13:54.710
inefficient at their core mission delivery because

00:13:54.710 --> 00:13:56.710
they haven't invested in the proper infrastructure.

00:13:57.129 --> 00:13:59.509
High efficiency requires professional management,

00:13:59.809 --> 00:14:01.750
good systems, the ability to measure results,

00:14:02.049 --> 00:14:04.169
and those things cost money. Donors need to look

00:14:04.169 --> 00:14:06.250
beyond that overhead percentage. They do. They

00:14:06.250 --> 00:14:08.470
need to look at factors like transparency, governance,

00:14:08.669 --> 00:14:11.110
strong leadership, and verifiable long -term

00:14:11.110 --> 00:14:12.710
outcomes. term results. Just to give our listener

00:14:12.710 --> 00:14:14.590
a frame of reference, what are typical overhead

00:14:14.590 --> 00:14:17.190
levels in the U .S. nonprofit sector? Based on

00:14:17.190 --> 00:14:19.889
2009 data from Charity Navigator, the national

00:14:19.889 --> 00:14:22.169
median for the support service expense ratio,

00:14:22.389 --> 00:14:25.629
the overhead, was 10%. But more importantly,

00:14:25.789 --> 00:14:27.690
the source noted that more than three -fourths

00:14:27.690 --> 00:14:30.190
of ranked charities had an expense ratio of less

00:14:30.190 --> 00:14:33.409
than 30%. If you see a charity with an overhead

00:14:33.409 --> 00:14:37.190
far exceeding 30 -35%, that is usually a legitimate

00:14:37.190 --> 00:14:39.919
red flag that needs some scrutiny. OK, before

00:14:39.919 --> 00:14:41.960
we make our grand transition to the Sharpe ratio,

00:14:42.279 --> 00:14:44.740
let's quickly anchor this expense ratio concept

00:14:44.740 --> 00:14:47.679
back in general business operations. Absolutely.

00:14:48.159 --> 00:14:50.700
Beyond funds and nonprofits, the expense ratio

00:14:50.700 --> 00:14:53.779
is a staple tool for finance and accounting professionals.

00:14:54.220 --> 00:14:56.820
In a business context, it just shows the percentage

00:14:56.820 --> 00:14:59.159
of an operation's gross revenues that is allocated

00:14:59.159 --> 00:15:01.600
to its running expenses. It sounds a bit like

00:15:01.600 --> 00:15:04.220
gross margin. But more detailed on the operating

00:15:04.220 --> 00:15:06.460
side. It's a measure of operational leakage and

00:15:06.460 --> 00:15:09.179
management effectiveness. Business managers use

00:15:09.179 --> 00:15:11.139
this index in their profit and loss statements

00:15:11.139 --> 00:15:14.539
to draft business plans, produce forecasts, and,

00:15:14.639 --> 00:15:17.059
you know, determine opportunities for cost cutting

00:15:17.059 --> 00:15:19.759
or revenue maximization. So it's an early warning

00:15:19.759 --> 00:15:23.000
system. It is. If a company's expense ratio is

00:15:23.000 --> 00:15:25.980
trending upward over a few quarters, it signals

00:15:25.980 --> 00:15:29.029
a structural problem. Either revenue is stalling

00:15:29.029 --> 00:15:31.450
or the operational costs are getting bloated

00:15:31.450 --> 00:15:34.490
relative to the scale of sales. Okay, we've thoroughly

00:15:34.490 --> 00:15:37.789
nailed down the cost side, that predictable structural

00:15:37.789 --> 00:15:40.889
drag represented by the expense ratio. We know

00:15:40.889 --> 00:15:43.389
it's sticky, disproportionately affects low -yield

00:15:43.389 --> 00:15:45.850
assets, and can be hidden through recoupment

00:15:45.850 --> 00:15:48.889
plans. Now let's pivot entirely to the reward

00:15:48.889 --> 00:15:51.889
-for -risk side and move into the Sharpe ratio.

00:15:52.429 --> 00:15:54.889
Perfect. So if the expense ratio is the concrete

00:15:54.889 --> 00:15:57.350
cost you pay for the journey, the Sharpe ratio

00:15:57.350 --> 00:15:59.370
is the metric that tells you, mathematically,

00:15:59.809 --> 00:16:02.769
how efficiently the manager used risk to generate

00:16:02.769 --> 00:16:05.250
returns. It's the measure that tries to differentiate

00:16:05.250 --> 00:16:07.970
skill from just sheer luck or from taking on

00:16:07.970 --> 00:16:09.610
way too much risk. What's its core function?

00:16:10.059 --> 00:16:11.860
Its core function is to measure the performance

00:16:11.860 --> 00:16:14.120
of an investment, a security, or a portfolio

00:16:14.120 --> 00:16:17.019
compared to a risk -free asset. But critically,

00:16:17.259 --> 00:16:19.580
it adjusts for total risk. It quantifies the

00:16:19.580 --> 00:16:21.620
premium return you receive for every unit of

00:16:21.620 --> 00:16:24.360
volatility you take on. And the measure itself

00:16:24.360 --> 00:16:26.799
is named after the Nobel laureate William F.

00:16:26.820 --> 00:16:30.419
Sharp, who developed it back in 1966. What should

00:16:30.419 --> 00:16:32.000
our listener understand about its historical

00:16:32.000 --> 00:16:34.940
context? Well... The initial version was called

00:16:34.940 --> 00:16:37.480
the reward to variability ratio, and it used

00:16:37.480 --> 00:16:40.580
a constant risk free rate as the benchmark. But

00:16:40.580 --> 00:16:42.960
Sharpe himself revised the definition in 1994,

00:16:43.340 --> 00:16:45.919
which is really key historical detail. And what

00:16:45.919 --> 00:16:48.659
made that revision necessary? The original static

00:16:48.659 --> 00:16:51.080
risk free rate. It just didn't account for changing

00:16:51.080 --> 00:16:54.100
market dynamics. If you were comparing two funds

00:16:54.100 --> 00:16:56.559
across a decade where interest rates were changing

00:16:56.559 --> 00:17:00.559
wildly, say the volatile 1970s and 80s, that

00:17:00.559 --> 00:17:03.860
static risk free rate completely invalid. Because

00:17:03.860 --> 00:17:06.700
the opportunity cost of capital was always shifting.

00:17:06.839 --> 00:17:10.420
Exactly. The 1994 revision replaced that constant

00:17:10.420 --> 00:17:12.660
risk -free rate with a more applicable and time

00:17:12.660 --> 00:17:14.900
-changing benchmark return. And that made the

00:17:14.900 --> 00:17:17.359
ratio far more robust for long -term comparative

00:17:17.359 --> 00:17:20.220
analysis. Let's look at the modern formula, even

00:17:20.220 --> 00:17:22.380
if just conceptually, to really understand the

00:17:22.380 --> 00:17:24.140
relationship between the numerator, which is

00:17:24.140 --> 00:17:26.960
the reward, and the denominator, the risk. We

00:17:26.960 --> 00:17:29.380
typically look at the ex -ante formula. The one

00:17:29.380 --> 00:17:31.700
using expected returns. But the concept holds

00:17:31.700 --> 00:17:34.819
for ex post or realized returns as well. The

00:17:34.819 --> 00:17:37.140
numerator is the expected value of the excess

00:17:37.140 --> 00:17:40.200
return. So that's the assets return minus the

00:17:40.200 --> 00:17:42.789
benchmark return. which is often the U .S. Treasury

00:17:42.789 --> 00:17:45.210
security. Correct. It's measuring the premium,

00:17:45.329 --> 00:17:47.470
the return that exceeded what you could have

00:17:47.470 --> 00:17:50.369
gotten in a virtually risk -free vehicle. And

00:17:50.369 --> 00:17:53.150
importantly, that asset return is the net return.

00:17:53.289 --> 00:17:56.170
It's calculated after the expense ratio has been

00:17:56.170 --> 00:17:58.269
deducted. And that's a crucial link back to part

00:17:58.269 --> 00:18:01.950
one. It is. If your ER is high, it drags down

00:18:01.950 --> 00:18:04.210
that asset return and automatically reduces your

00:18:04.210 --> 00:18:06.309
excess return. That reduces your Sharpe ratio,

00:18:06.470 --> 00:18:08.529
regardless of the manager's skill. So the expense

00:18:08.529 --> 00:18:11.170
ratio is guaranteed to improve. impact the Sharpe

00:18:11.170 --> 00:18:14.609
ratio negatively. Now the denominator. This is

00:18:14.609 --> 00:18:16.450
the critical risk adjustment. The denominator

00:18:16.450 --> 00:18:18.910
is the standard deviation of the asset's excess

00:18:18.910 --> 00:18:22.369
return. This is the key measure of risk, or volatility.

00:18:23.130 --> 00:18:25.609
Standard deviation measures the historical spread

00:18:25.609 --> 00:18:28.680
of returns around the average. By dividing the

00:18:28.680 --> 00:18:30.900
excess return by the standard deviation of that

00:18:30.900 --> 00:18:33.880
excess return, you quantify exactly how much

00:18:33.880 --> 00:18:36.460
bang for your risk buck you received. So a higher

00:18:36.460 --> 00:18:38.680
Sharpe ratio means you got more premium return

00:18:38.680 --> 00:18:40.400
for the amount of volatility you had to endure.

00:18:40.599 --> 00:18:42.720
That's it. When you're comparing two assets,

00:18:42.960 --> 00:18:45.799
if asset A has a Sharpe ratio of 1 .0 and asset

00:18:45.799 --> 00:18:49.740
B has 0 .5, you should prefer A because it generated

00:18:49.740 --> 00:18:52.599
twice the reward for the same unit of risk. That's

00:18:52.599 --> 00:18:55.279
the textbook answer anyway. It is, and the real

00:18:55.279 --> 00:18:57.440
-world evidence can be pretty compelling. The

00:18:57.440 --> 00:18:59.559
source provides the example of Berkshire Hathaway,

00:18:59.740 --> 00:19:02.480
which achieved a sharp ratio of 0 .79 between

00:19:02.480 --> 00:19:06.019
1976 and 2017. You compare that to the overall

00:19:06.019 --> 00:19:08.799
stock market, the S &amp;P 500, which only managed

00:19:08.799 --> 00:19:12.099
0 .49 during that same period. So that 0 .79

00:19:12.099 --> 00:19:14.220
number isn't just about getting high returns.

00:19:14.339 --> 00:19:16.480
It means that Warren Buffett generated those

00:19:16.480 --> 00:19:19.000
high returns while incurring significantly less

00:19:19.000 --> 00:19:21.099
year -to -year volatility than the market itself.

00:19:21.680 --> 00:19:23.880
That's really the definition of a high -quality

00:19:23.880 --> 00:19:27.019
return. It demonstrates superior risk management.

00:19:27.460 --> 00:19:29.519
And before we move on, we should just briefly

00:19:29.519 --> 00:19:32.799
touch on the information ratio. While the Sharpe

00:19:32.799 --> 00:19:35.579
ratio uses the risk -free rate as the benchmark,

00:19:35.900 --> 00:19:38.500
the information ratio substitutes a typically

00:19:38.500 --> 00:19:41.619
risky index, like a specific sector index, for

00:19:41.619 --> 00:19:43.920
that benchmark. So it's for measuring a manager

00:19:43.920 --> 00:19:47.319
against their specific mandate. Exactly. Now,

00:19:47.339 --> 00:19:49.339
Sharpe ratio stands on the shoulders of earlier

00:19:49.339 --> 00:19:51.970
thought. Let's look at the precursors, specifically

00:19:51.970 --> 00:19:55.710
Andrew D. Roy's ratio from back in 1952. Roy's

00:19:55.710 --> 00:19:58.849
ratio was conceptually similar. It aimed to maximize

00:19:58.849 --> 00:20:01.230
a ratio, but the key philosophical difference

00:20:01.230 --> 00:20:04.049
was in the numerator. Roy used what he called

00:20:04.049 --> 00:20:06.470
the disaster level, or the minimum acceptable

00:20:06.470 --> 00:20:09.490
return, MAR, rather than the risk -free rate.

00:20:09.710 --> 00:20:12.369
So he was focused on avoiding a specific level

00:20:12.369 --> 00:20:14.549
of loss. Right. He was focused on the probability

00:20:14.549 --> 00:20:16.970
of a return falling below a specified acceptable

00:20:16.970 --> 00:20:19.539
threshold. And the denominator was also a bit

00:20:19.539 --> 00:20:21.539
different. He used the standard deviation of

00:20:21.539 --> 00:20:23.900
gross returns, whereas Sharpe's modern ratio

00:20:23.900 --> 00:20:26.180
uses the standard deviation of excess returns.

00:20:26.460 --> 00:20:29.099
It's a subtle but important shift in focus. And

00:20:29.099 --> 00:20:31.440
this discussion about a minimum acceptable return,

00:20:31.720 --> 00:20:34.539
it immediately brings up the Sortino ratio, which

00:20:34.539 --> 00:20:37.079
is often cited as a superior measure in some

00:20:37.079 --> 00:20:39.680
contexts. Well, the Sortino ratio is philosophically

00:20:39.680 --> 00:20:41.880
aligned with Roy's initial concept because it

00:20:41.880 --> 00:20:44.880
also uses that MAR in the numerator. But the

00:20:44.880 --> 00:20:47.420
key technical advantage of Sortino is in the

00:20:47.420 --> 00:20:50.799
denominator. It uses downside deviation. Meaning

00:20:50.799 --> 00:20:54.039
it only penalizes volatility when returns fall

00:20:54.039 --> 00:20:56.759
below that minimum acceptable return. Exactly.

00:20:56.779 --> 00:20:59.420
It ignores upside volatility, which most investors

00:20:59.420 --> 00:21:01.779
view as a good thing. Sharp, on the other hand,

00:21:01.839 --> 00:21:04.559
penalizes all volatility equally, up or down.

00:21:04.940 --> 00:21:06.779
That's a crucial distinction, and we'll come

00:21:06.779 --> 00:21:09.079
back to that in the outro. Finally, the necessary

00:21:09.079 --> 00:21:11.720
comparison, Sharpe versus the trainer ratio.

00:21:12.140 --> 00:21:14.500
The distinction is fundamental. It relates to

00:21:14.500 --> 00:21:16.420
the type of risk the manager is being measured

00:21:16.420 --> 00:21:19.700
on. The Sharpe ratio considers total risk, both

00:21:19.700 --> 00:21:22.359
systematic risk, which is market risk you can't

00:21:22.359 --> 00:21:25.160
diversify away, and idiosyncratic risk, which

00:21:25.160 --> 00:21:27.460
is asset -specific risk you can diversify away.

00:21:27.660 --> 00:21:30.059
And the trainer ratio. The trainer ratio considers

00:21:30.059 --> 00:21:33.319
only systematic risk. And this is because the

00:21:33.319 --> 00:21:35.759
trainer formula divides the excess return by

00:21:35.759 --> 00:21:39.000
beta. And beta is inherently a measure of systematic

00:21:39.000 --> 00:21:41.980
risk, the asset sensitivity to the overall market

00:21:41.980 --> 00:21:45.240
movement. So if I am building a portfolio with,

00:21:45.319 --> 00:21:48.599
say, 100 different stocks, my portfolio is already

00:21:48.599 --> 00:21:52.359
highly diversified. In that case, the idiosyncratic

00:21:52.359 --> 00:21:55.140
risk, the company -specific risk, has largely

00:21:55.140 --> 00:21:58.319
been filtered out. Exactly. So if you, the investor,

00:21:58.480 --> 00:22:01.000
are looking at a manager running an already well

00:22:01.000 --> 00:22:03.359
-diversified portfolio that is just one component

00:22:03.359 --> 00:22:05.900
of your overall assets, trainer is often the

00:22:05.900 --> 00:22:08.740
superior metric. It rewards the manager only

00:22:08.740 --> 00:22:11.420
for the market risk they must take. Sharp is

00:22:11.420 --> 00:22:14.119
generally better for evaluating a single, undiversified

00:22:14.119 --> 00:22:17.079
asset or a strategy in isolation. And since these

00:22:17.079 --> 00:22:19.920
measures rely so heavily on math, they need statistical

00:22:19.920 --> 00:22:22.339
validation. That's right. There are statistical

00:22:22.339 --> 00:22:24.960
tests like those proposed by Jobson and Corky

00:22:24.960 --> 00:22:27.319
and by Gibbons, Ross and Schenken. They exist

00:22:27.319 --> 00:22:29.500
to determine the statistical significance of

00:22:29.500 --> 00:22:32.000
a high Sharpe ratio, helping investors figure

00:22:32.000 --> 00:22:34.380
out whether a manager's success is due to genuine,

00:22:34.480 --> 00:22:37.579
repeatable skill or just statistical luck over

00:22:37.579 --> 00:22:40.779
a short, favorable period. This section is the

00:22:40.779 --> 00:22:43.940
Deep Dive's core warning label. The Sharpe ratio

00:22:43.940 --> 00:22:46.819
is a powerful tool, but it rests on a foundational

00:22:46.819 --> 00:22:49.809
assumption about the market that is. Well, it's

00:22:49.809 --> 00:22:52.230
often violated. It is. It assumes asset returns

00:22:52.230 --> 00:22:54.549
are normally distributed following that classic

00:22:54.549 --> 00:22:57.049
neat bell curve. And the reality is that the

00:22:57.049 --> 00:23:00.349
market rarely, if ever, conforms to a perfect

00:23:00.349 --> 00:23:03.180
bell curve. Precisely. Asset returns exhibit

00:23:03.180 --> 00:23:06.259
abnormalities. We see skewness where the distribution

00:23:06.259 --> 00:23:09.680
is lopsided, maybe favoring modest positive returns,

00:23:09.900 --> 00:23:12.460
but having a long, thin tail on the catastrophic

00:23:12.460 --> 00:23:15.480
loss side. And we also see kurtosis, which means

00:23:15.480 --> 00:23:17.700
the distribution has higher peaks around the

00:23:17.700 --> 00:23:20.319
average and fatter tails than predicted by a

00:23:20.319 --> 00:23:22.720
standard bell curve. Let's clarify fatter tails.

00:23:22.839 --> 00:23:25.069
What does that mean for an investor? Fatter tails

00:23:25.069 --> 00:23:28.329
mean that extreme rare events, both massive gains

00:23:28.329 --> 00:23:30.529
and huge losses, they occur more frequently than

00:23:30.529 --> 00:23:32.230
the mathematical model of the normal distribution

00:23:32.230 --> 00:23:35.150
would predict. The standard deviation, which

00:23:35.150 --> 00:23:37.329
is the denominator in the Charp ratio, it becomes

00:23:37.329 --> 00:23:39.950
an ineffective measure of risk when these abnormalities

00:23:39.950 --> 00:23:43.210
exist. It will tell you the average routine volatility

00:23:43.210 --> 00:23:45.430
is low, giving you a false sense of security.

00:23:45.960 --> 00:23:48.240
The danger is that the standard deviation calculated

00:23:48.240 --> 00:23:51.740
on all that routine data fails to capture the

00:23:51.740 --> 00:23:54.640
true magnitude and probability of those rare

00:23:54.640 --> 00:23:58.420
catastrophic losses, the black swan events. You've

00:23:58.420 --> 00:24:00.980
hit the nail on the head. If a strategy's returns

00:24:00.980 --> 00:24:04.079
are negatively skewed, meaning losses when they

00:24:04.079 --> 00:24:07.140
occur are huge and rare, the standard deviation

00:24:07.140 --> 00:24:10.160
calculated over a normal period will be deceptively

00:24:10.160 --> 00:24:13.539
low. That artificially inflates the Sharpe ratio

00:24:13.539 --> 00:24:16.640
and compromises its accuracy as a true predictor

00:24:16.640 --> 00:24:18.920
of downside risk. This inherent vulnerability

00:24:18.920 --> 00:24:21.720
means the Sharpe ratio can be manipulated, or

00:24:21.720 --> 00:24:24.599
at least strategically exploited, by fund managers

00:24:24.599 --> 00:24:27.339
who are focused on optimizing the number rather

00:24:27.339 --> 00:24:30.259
than than minimizing the actual risk. The examples

00:24:30.259 --> 00:24:32.519
here are deeply instructive. The classic example

00:24:32.519 --> 00:24:35.099
is the Ponzi scheme. Before it collapses, a Ponzi

00:24:35.099 --> 00:24:37.440
scheme generates these stable, positive reported

00:24:37.440 --> 00:24:39.839
returns because the returns are just earlier

00:24:39.839 --> 00:24:42.670
investors principle. Since the reported returns

00:24:42.670 --> 00:24:45.150
are so stable, the standard deviation is virtually

00:24:45.150 --> 00:24:47.450
zero. Which gives it an incredibly high Sharpe

00:24:47.450 --> 00:24:50.029
ratio. An unbelievably high empirical Sharpe

00:24:50.029 --> 00:24:52.190
ratio. The number looks fantastic, but it's masking

00:24:52.190 --> 00:24:55.029
a guaranteed 100 % loss risk. That shows the

00:24:55.029 --> 00:24:57.750
SR is only as good as the underlying data reflecting

00:24:57.750 --> 00:25:01.430
genuine market risk. What about legal strategies

00:25:01.430 --> 00:25:04.490
that similarly exploit this flaw? A very common

00:25:04.490 --> 00:25:07.130
one is selling low strike put options or out

00:25:07.130 --> 00:25:09.450
of the money options. This generates a small,

00:25:09.549 --> 00:25:12.049
consistent premium income, which keeps returns

00:25:12.049 --> 00:25:16.210
stable, positive and volatility low. A manager

00:25:16.210 --> 00:25:18.690
can run this strategy for years and produce a

00:25:18.690 --> 00:25:21.569
superb sharp ratio. But this strategy carries

00:25:21.569 --> 00:25:24.390
a small probability of a catastrophic, ruinous

00:25:24.390 --> 00:25:26.750
loss if the market crashes and those puts are

00:25:26.750 --> 00:25:29.829
exercised. So the SR measures the frequency and

00:25:29.829 --> 00:25:33.029
size of all the small winning moves, but it utterly

00:25:33.200 --> 00:25:35.180
fails to weigh the potential for that single

00:25:35.180 --> 00:25:37.940
ruinous outlier event that defines the strategy's

00:25:37.940 --> 00:25:40.380
actual risk. Precisely. Another vulnerability

00:25:40.380 --> 00:25:42.759
comes up with illiquid assets where the SR is

00:25:42.759 --> 00:25:44.819
susceptible to manipulation through smoothing

00:25:44.819 --> 00:25:47.319
returns. If a fund can use discretionary pricing

00:25:47.319 --> 00:25:49.619
or internal valuation models for assets that

00:25:49.619 --> 00:25:51.819
don't trade daily, they can artificially smooth

00:25:51.819 --> 00:25:53.920
out the volatility. They suppress the standard

00:25:53.920 --> 00:25:56.680
deviation and inflate the SR. So smoothing returns

00:25:56.680 --> 00:25:59.140
is essentially just taking the peaks and valleys

00:25:59.140 --> 00:26:01.990
out of the performance to make. the volatility

00:26:01.990 --> 00:26:04.710
look lower than it truly is. That's right. For

00:26:04.710 --> 00:26:06.829
assets with smoothing, like certain real estate

00:26:06.829 --> 00:26:09.109
funds or private equity vehicles, the reported

00:26:09.109 --> 00:26:12.509
fund returns are inherently misleading. The SR

00:26:12.509 --> 00:26:14.549
should ideally be derived from the performance

00:26:14.549 --> 00:26:17.250
of the underlying assets. The actual cash flow

00:26:17.250 --> 00:26:20.069
or market price changes, not just the reported

00:26:20.069 --> 00:26:22.829
fund returns. And are there statistical tools

00:26:22.829 --> 00:26:26.450
available to detect managers who might be artificially

00:26:26.450 --> 00:26:29.279
smoothing volatility? There are. Analysts look

00:26:29.279 --> 00:26:32.119
at statistics like the bias ratio and first order

00:26:32.119 --> 00:26:35.599
autocorrelation. High autocorrelation, where

00:26:35.599 --> 00:26:37.799
the return in one period is highly correlated

00:26:37.799 --> 00:26:40.460
with the return in the next, is often a statistical

00:26:40.460 --> 00:26:42.599
red flag that returns are being artificially

00:26:42.599 --> 00:26:44.960
managed or smoothed, as true market movements

00:26:44.960 --> 00:26:47.099
are rarely that perfectly connected day to day.

00:26:47.180 --> 00:26:49.160
And finally, there's the need for data length.

00:26:49.549 --> 00:26:52.930
If the ruinous events are rare, you need a commensurately

00:26:52.930 --> 00:26:55.769
long track record to capture them. A reliable

00:26:55.769 --> 00:26:58.809
empirical SR estimate requires collecting data

00:26:58.809 --> 00:27:01.450
over a sufficient period to observe all aspects

00:27:01.450 --> 00:27:04.210
of the strategy. If a high -frequency trading

00:27:04.210 --> 00:27:06.789
algorithm makes thousands of trades daily, you

00:27:06.789 --> 00:27:09.589
might get a reliable SR in a month. But if a

00:27:09.589 --> 00:27:11.589
strategy is built around catastrophic insurance

00:27:11.589 --> 00:27:13.750
liabilities that only pay out once a decade,

00:27:14.009 --> 00:27:16.630
you need decades of data to truly understand

00:27:16.630 --> 00:27:18.670
the risk. And even then you might miss something.

00:27:19.069 --> 00:27:21.950
You might. The source emphasizes that even long

00:27:21.950 --> 00:27:24.930
track records may still miss those rare extreme

00:27:24.930 --> 00:27:28.170
risks if the strategy has a very long tail of

00:27:28.170 --> 00:27:30.769
potential loss. Let's move to how the ratio behaves

00:27:30.769 --> 00:27:33.630
in scenarios where performance is just poor or

00:27:33.630 --> 00:27:36.029
the incentives are misaligned. What happens when

00:27:36.029 --> 00:27:38.269
the Sharpe ratio turns negative? A negative Sharpe

00:27:38.269 --> 00:27:40.789
ratio means the portfolio underperformed its

00:27:40.789 --> 00:27:43.140
benchmark. likely because the excess return,

00:27:43.400 --> 00:27:46.160
the numerator, is negative. And when the ratio

00:27:46.160 --> 00:27:48.380
is negative, it becomes deeply counterintuitive.

00:27:48.619 --> 00:27:50.559
Can you walk us through that specific mathematical

00:27:50.559 --> 00:27:53.500
oddity? If the SR is negative and the manager

00:27:53.500 --> 00:27:55.980
were to suddenly increase the volatility, the

00:27:55.980 --> 00:27:58.680
denominator, which is a bad thing, the denominator

00:27:58.680 --> 00:28:02.279
gets larger. Because the ratio is negative, dividing

00:28:02.279 --> 00:28:04.839
by a larger positive number actually makes the

00:28:04.839 --> 00:28:07.460
resulting negative ratio numerically less negative.

00:28:07.579 --> 00:28:09.319
And therefore technically higher. Technically

00:28:09.319 --> 00:28:11.779
higher. That is deeply confusing. So increasing

00:28:11.779 --> 00:28:14.140
risk makes a bad number look technically better.

00:28:14.380 --> 00:28:16.960
If I see a manager reporting an SR of native

00:28:16.960 --> 00:28:21.140
0 .5 and another reporting native 0 .1, I'm supposed

00:28:21.140 --> 00:28:24.019
to prefer the native 0 .1 even if the only way

00:28:24.019 --> 00:28:26.299
they got there was by increasing their risk.

00:28:26.700 --> 00:28:29.440
This proves the SR is often useless in bear markets

00:28:29.440 --> 00:28:31.720
or for strategies that are underperforming the

00:28:31.720 --> 00:28:34.720
risk -free rate. Investor utility functions always

00:28:34.720 --> 00:28:37.200
prefer lower volatility, but the math of the

00:28:37.200 --> 00:28:39.880
negative SR rewards higher volatility. That's

00:28:39.880 --> 00:28:42.480
why many analysts only use the SR when the excess

00:28:42.480 --> 00:28:45.500
return is positive. This fragility also contributes

00:28:45.500 --> 00:28:47.980
directly to the principal -agent problem. The

00:28:47.980 --> 00:28:50.700
investor, the principal, wants safety and sustainable

00:28:50.700 --> 00:28:53.680
returns, but the manager, the agent, might be

00:28:53.680 --> 00:28:56.109
incentivized to just chase a high number. That's

00:28:56.109 --> 00:28:58.910
a textbook misalignment. Fund sponsors who select

00:28:58.910 --> 00:29:01.190
managers solely on who generates the highest

00:29:01.190 --> 00:29:04.410
SR can unintentionally incentivize those managers

00:29:04.410 --> 00:29:08.069
to adopt high SR, high risk strategies, like

00:29:08.069 --> 00:29:10.950
that short option strategy we mentioned. Selling

00:29:10.950 --> 00:29:13.230
options generates consistent fees and modest

00:29:13.230 --> 00:29:15.950
positive payoffs, which leads to a great SR,

00:29:16.150 --> 00:29:18.589
which maximizes the manager's short term bonus.

00:29:18.809 --> 00:29:21.509
So the manager gets paid handsomely. based on

00:29:21.509 --> 00:29:24.369
the high SR, but the investor holds the bag for

00:29:24.369 --> 00:29:26.430
that small probability of catastrophic loss.

00:29:27.000 --> 00:29:29.700
Exactly. The source specifically notes that selling

00:29:29.700 --> 00:29:31.920
out of the money calls and puts is mathematically

00:29:31.920 --> 00:29:34.700
determined to maximize the SR in the short term,

00:29:34.799 --> 00:29:37.440
even though it exposes the fund to ruinous tail

00:29:37.440 --> 00:29:39.359
risk that most investors are trying to avoid.

00:29:39.599 --> 00:29:41.940
This perverse incentive structure is a fundamental

00:29:41.940 --> 00:29:44.339
failing of relying solely on the standard SR

00:29:44.339 --> 00:29:46.599
for manager selection. And finally, we have to

00:29:46.599 --> 00:29:49.240
address that common oversimplified rubric we

00:29:49.240 --> 00:29:51.200
see in financial media. The one that says an

00:29:51.200 --> 00:29:53.619
SR over one is acceptable, over two is very good,

00:29:53.660 --> 00:29:56.089
and over three is excellent. Why is this rubric

00:29:56.089 --> 00:29:58.890
fundamentally flawed? It is flawed because a

00:29:58.890 --> 00:30:02.109
Sharpe ratio is a dimensional quantity. Its magnitude

00:30:02.109 --> 00:30:04.730
is highly sensitive to the time period over which

00:30:04.730 --> 00:30:07.170
the returns are measured. The comparison only

00:30:07.170 --> 00:30:10.069
works if the time frame is standardized, typically

00:30:10.069 --> 00:30:12.900
annualized. explain the math behind that scaling

00:30:12.900 --> 00:30:15.859
problem the numerator the expected excess return

00:30:15.859 --> 00:30:19.480
it scales linearly with time if you double the

00:30:19.480 --> 00:30:22.059
time period you double the expected return however

00:30:22.059 --> 00:30:25.640
the denominator the standard deviation scales

00:30:25.640 --> 00:30:28.019
with the square root of time So if I calculate

00:30:28.019 --> 00:30:31.519
a monthly Sharpe ratio of 0 .3, and I incorrectly

00:30:31.519 --> 00:30:34.000
assume I can just multiply the entire ratio by

00:30:34.000 --> 00:30:35.980
12 to annualize it, I'm going to get a really

00:30:35.980 --> 00:30:38.140
inflated number. You are. The return portion

00:30:38.140 --> 00:30:40.720
scales by 12, but the risk portion only scales

00:30:40.720 --> 00:30:43.380
by the square root of 12, which is about 3 .46.

00:30:44.000 --> 00:30:46.640
You're understating the annualized risk relative

00:30:46.640 --> 00:30:49.099
to the annualized return, and that inflates the

00:30:49.099 --> 00:30:51.720
final ratio. The accepted method requires you

00:30:51.720 --> 00:30:53.660
to first annualize the return and the standard

00:30:53.660 --> 00:30:55.799
deviation separately, using the right scaling

00:30:55.799 --> 00:30:58.920
factors. and then calculate the ratio. So those

00:30:58.920 --> 00:31:01.480
targets of 2 .0 or 3 .0 are pretty unrealistic.

00:31:01.900 --> 00:31:04.380
For most diversified asset classes, they're utterly

00:31:04.380 --> 00:31:07.819
unrealistic. Most diversified indexes have annualized

00:31:07.819 --> 00:31:10.720
sharp ratios below one. Given all these inherent

00:31:10.720 --> 00:31:13.119
weaknesses, analysts have developed several advanced

00:31:13.119 --> 00:31:16.079
methods either to correct the SR or provide alternatives.

00:31:16.680 --> 00:31:19.119
What are the major corrections being used today?

00:31:19.450 --> 00:31:22.069
For practitioners, especially those dealing with

00:31:22.069 --> 00:31:24.309
shorter track records and potential data issues,

00:31:24.609 --> 00:31:28.269
the deflated Sharpe ratio is critical. This ratio

00:31:28.269 --> 00:31:30.829
was proposed specifically for hedge funds with

00:31:30.829 --> 00:31:33.670
short track records, and it aims to correct for

00:31:33.670 --> 00:31:36.509
asymmetry, fat tails, sample length, and the

00:31:36.509 --> 00:31:38.809
selection bias that tends to make reported SRs

00:31:38.809 --> 00:31:41.630
look overly optimistic. So it's a stress -tested

00:31:41.630 --> 00:31:43.410
Sharpe ratio. That's a good way to put it. It's

00:31:43.410 --> 00:31:46.049
an SR that has been rigorously stress -tested

00:31:46.049 --> 00:31:48.589
for all these known flaws. What about the application?

00:31:48.779 --> 00:31:51.819
side, how can the SR be converted into an actionable

00:31:51.819 --> 00:31:54.460
metric for sizing investments? That's where the

00:31:54.460 --> 00:31:57.759
Kelly criterion comes in. While the SR is a risk

00:31:57.759 --> 00:32:00.640
-adjusted ratio, the Kelly criterion can be used

00:32:00.640 --> 00:32:03.019
to convert it into a suggested rate of return

00:32:03.019 --> 00:32:06.339
based on optimal sizing. It calculates the ideal

00:32:06.339 --> 00:32:08.759
size of an investment, which, when you adjust

00:32:08.759 --> 00:32:10.799
it by the period and expected rate of return

00:32:10.799 --> 00:32:13.180
per unit, gives you a prescriptive rate of return.

00:32:13.339 --> 00:32:15.660
It moves the metric from just comparative performance

00:32:15.660 --> 00:32:19.119
to optimal capital allocation. And finally, let's

00:32:19.119 --> 00:32:21.740
revisit portfolio construction. We established

00:32:21.740 --> 00:32:24.299
that idiosyncratic risk can be diversified away.

00:32:24.599 --> 00:32:26.720
Is there a scenario where you would intentionally

00:32:26.720 --> 00:32:29.759
hire a manager with a low or even a negative

00:32:29.759 --> 00:32:32.180
Sharpe ratio? Absolutely, and this is illustrated

00:32:32.180 --> 00:32:34.400
by the proposed Sharpe ratio indifference curve.

00:32:34.990 --> 00:32:37.109
This concept demonstrates that it can be highly

00:32:37.109 --> 00:32:40.329
efficient to hire managers with low or even negative

00:32:40.329 --> 00:32:43.190
individual Sharpey ratios, provided their correlation

00:32:43.190 --> 00:32:45.890
to your overall portfolio is sufficiently low.

00:32:46.089 --> 00:32:48.069
Because they zigzag when everyone else is moving

00:32:48.069 --> 00:32:50.769
in the same direction. Yes. Their poor individual

00:32:50.769 --> 00:32:54.009
SR is offset by the tremendous diversification

00:32:54.009 --> 00:32:56.009
benefit they provide to the whole portfolio.

00:32:56.410 --> 00:32:58.910
They act as an insurance policy, potentially

00:32:58.910 --> 00:33:01.390
benefiting the overall portfolio Sharpe ratio,

00:33:01.670 --> 00:33:03.670
even if their individual number looks terrible.

00:33:04.109 --> 00:33:06.390
It illustrates that good portfolio construction

00:33:06.390 --> 00:33:09.210
requires looking beyond the single SR number

00:33:09.210 --> 00:33:12.269
of any one component. So what does this all mean

00:33:12.269 --> 00:33:14.329
for you, the learner? We started with the expense

00:33:14.329 --> 00:33:17.230
ratio, that predictable, guaranteed cost that

00:33:17.230 --> 00:33:19.650
quietly consumes your net returns, sometimes

00:33:19.650 --> 00:33:22.130
disproportionately, especially in those low -yield

00:33:22.130 --> 00:33:24.950
vehicles. And we highlighted the need to watch

00:33:24.950 --> 00:33:27.190
out for recoupment plans that hide future ER

00:33:27.190 --> 00:33:29.329
increases. Then we tackled the Sharpe ratio.

00:33:29.900 --> 00:33:32.140
a powerful but fundamentally tricky metric that's

00:33:32.140 --> 00:33:34.099
trying to quantify the quality of the return

00:33:34.099 --> 00:33:36.900
relative to the total risk taken. We uncovered

00:33:36.900 --> 00:33:39.839
that a high SR doesn't guarantee safety, as it

00:33:39.839 --> 00:33:41.839
can be the result of ignoring fat -tail risks,

00:33:42.160 --> 00:33:44.680
smoothing returns, or adopting strategies that

00:33:44.680 --> 00:33:46.619
are optimized for high short -term returns but

00:33:46.619 --> 00:33:49.140
carry catastrophic long -term risks. And what's

00:33:49.140 --> 00:33:50.839
fascinating here is the interplay between them.

00:33:51.519 --> 00:33:54.640
The expense ratio, which is concrete and predictable,

00:33:54.859 --> 00:33:57.799
directly impacts the asset return in the Sharpe

00:33:57.799 --> 00:34:01.000
ratio numerator. It is the structural cost. And

00:34:01.000 --> 00:34:03.519
if your costs are excessively high, no matter

00:34:03.519 --> 00:34:05.519
how clever your manager is at risk selection,

00:34:05.859 --> 00:34:08.860
that cost will suppress your net return, reducing

00:34:08.860 --> 00:34:11.320
your excess return and, well, resulting in a

00:34:11.320 --> 00:34:14.179
lower Sharpe ratio. They are inextricably linked.

00:34:14.400 --> 00:34:17.780
The ER determines the certain cost, and SR measures

00:34:17.780 --> 00:34:20.320
the efficiency of the return generated after

00:34:20.320 --> 00:34:22.659
that cost is paid. The key is knowing where the

00:34:22.659 --> 00:34:25.170
metrics are vulnerable. Never trust the number

00:34:25.170 --> 00:34:27.110
without understanding the time period used for

00:34:27.110 --> 00:34:29.010
the calculation and the assumptions about return

00:34:29.010 --> 00:34:31.690
normality. For managers who are paid based on

00:34:31.690 --> 00:34:34.469
optimizing a number, you must always verify the

00:34:34.469 --> 00:34:36.409
type of risk they are actually running. Which

00:34:36.409 --> 00:34:39.110
raises an important final question. Given the

00:34:39.110 --> 00:34:41.389
known vulnerabilities of the Sharpe ratio to

00:34:41.389 --> 00:34:43.849
non -normal distributions and its failure to

00:34:43.849 --> 00:34:46.190
distinguish between upside and downside volatility,

00:34:46.530 --> 00:34:48.949
how might a reliance on metrics that specifically

00:34:48.949 --> 00:34:52.030
penalize only downside risk, like the Sortino

00:34:52.030 --> 00:34:54.590
ratio or the Omega ratio, fundamentally change

00:34:54.590 --> 00:34:56.550
the investment strategies managers choose to

00:34:56.550 --> 00:34:58.929
implement and the types of assets they buy? That's

00:34:58.929 --> 00:35:00.889
something to mull over as you analyze your next

00:35:00.889 --> 00:35:01.650
financial statement.
