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Alan Cring Productions in association with Emergent Light Studio presents

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the Illinois State Collegiate Compendium academic lectures in Business and Economics.

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This is Business Finance FIL 190 for spring semester 2024.

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Today the capital asset pricing model. This one is considered in some ways the triumph of finance

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and if you are thinking of getting a tattoo you can't go wrong with getting the cap M tattooed

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on your side or your thigh or something like that because it is a sign that you really have crossed

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over into finance and I'll say more about it after a bit here and go through the last part of risk

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and return. On Wednesday you will have a surprise quiz so please be surprised by it. It will primarily

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cover bonds and those kinds of subjects but it will cross into a little bit of the first lecture

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in risk and return as well. It won't be a terrible kind of quiz but do make sure that you are able to

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use that template that I gave you for finding bond prices and bond yields. As I said that is the

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important mathematical thing, things that you should be able to do out of that chapter on bonds

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and of course there's qualitative stuff too. A quick look at the numbers though and as you can see

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this is a bare day trying to find some reason not to be. You see that we opened down and even after

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the opening it's still dropped. If you can see those spark charts you can see that it dropped

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after the bell, at the bell it was already down and it kept going down for about I think it was

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about 10 minutes and then it's been sort of jagged trying to grovel its way back up from that

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immediate loss that happened and it's really just a malaise in the market right now. Some negative

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sentiment is in there. It's nothing massive, nothing major, no apocalypse but the traders are

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a little on the sour side and we can talk more about that here in a little bit when I get back

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into risk and return. Now crude oil as I had said it's got a new trading range from about 81 or

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about 81 up to 87, 88 somewhere in there maybe 89 but it's on the downside of that and it broke

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down below the base of that and then a quick of that new trading range and then it quickly recovered

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from there although it's still not particularly dramatic. We're up there just above 81 working

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our way up to 82 but it's nothing terrible or tragic and as you could probably have noticed the

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price of gasoline as I said has already reflected this new higher trading range. We're seeing at

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the pumps around here about 379 for the regular unleaded. Nothing catastrophic of course but it's

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up there a little bit. Now interestingly gold is pushing the next neckline it has at $2,200 an ounce.

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It's on an upswing and it's just that there are some who are moving their money out of other assets

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and getting them into some gold right now. I wouldn't call it a flight to quality so much. You

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see the bond market over here we have the bond yields pulling upward and that would mean prices

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are falling there is selling of bonds and there is selling of stocks as well so that would probably

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indicate that there is a little a modest flight to quality give from bought stocks to bonds from

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bonds to gold. You're seeing that second stage of a flight to quality but it is certainly nothing

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catastrophic happening right now. If I am reading the markets however there is globally at least in

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the first world countries there is a movement to trim yields. The yields seem to be starting to fall

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on the around the mark around the world right now. I mean now as in this minute so this may turn on

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a dime and these yields may start to drop as investors move money out of gold out of money

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markets and buy into the bond market. You do see some I can't really see from this spark chart and

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I let me let me click on this see if I can see it in. Now you see that top out right there that

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may be the first indication that the US Treasuries are going to follow the government instrument

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debt instruments in other countries and start to tail downward here over the next couple of hours.

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Hard to say though but it does look like there is a little bit of movement that we've hit our top

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there on the yield. Okay now going on here Nikkei started out down it started crabbing and then it

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sort of floated below its opening and then right at the close it really started to take a dump. It

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was down a total of one 1.16 percent for the day that last little thing there that was the bears

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coming in right at the end of the day in Tokyo last night here and taking a real shot at it. Now

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London it started falling it just started dropping and but right about midday it started to turn back

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up like our markets are now they're not finished for the day yet in London as I've said they've

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still got an hour or so left I think on their trading but it's noticeable that they are in a

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recovery there the FTSE 100 is and well it's kind of hard to say we were in a recovery and now it's

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turning back down the other way. Just a lot of bad sentiment going on right now it's not horrible

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but it's just a grouchy day today. Let me take you on a journey here for just a little bit and this

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is for the most part it's terminology and then it turns into something more and as I had said

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yeah that's what I want. Now the measures of risk there is of course is the standard deviation

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which is one over for the for a sample and one over n minus one times the sum from i equals 1

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to n of the each data point minus the average squared. Now that's squared let me say something

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about that you may have already heard this before why do we square that and then take the square root

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of everything afterwards and which I didn't do there so let me get that done here. Why don't we

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square it and then take the square root? Simple because some returns are going to some data points

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are going to be below the average and some are going to be above the average. If we don't square

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it then those below and above will cancel each other out and we will not see what really happened

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as far as volatility both ways go. So we square them so that they're all positive and then we

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correct it after we've added them them all up with by taking the square root and that of course is

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our overall way of determining risk. Now this standard deviation sigma or in more technical terms

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it's we call it s we reserve sigma for the population but one way or the other this is

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actually the one that is used in corporate finance. If you took a course from me for example in

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corporate finance finance where I'm looking at variation in revenues or variations in cost the

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risk the risks inherent in your fixed costs the risks inherent in your variable costs the risks

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inherent in your profit and all of that. We use this animal right here to do that more specifically

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we probably use the coefficient of variation. The coefficient of variation CV is the standard

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deviation divided by the average which takes away the scale the size of the numbers so that we can

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compare for example fixed cost might be very large compared to variable cost or vice versa. When you

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use the CV it corrects for those differences in size so you get a pure measure of the relative

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risk levels of the different lines on your accounting statement or on your managerial

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accounting sheets. That's all that is and it's very useful even for us it's useful too but our big

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800 pound gorilla is always beta. Now the beta I'm going to write this down I want to talk about

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this a little later and I'll show you where you could actually do this. The beta let's say of a

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stock is the Pearson correlation coefficient of that stock with the market portfolio times the

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standard deviation of the stock over the standard deviation of the market portfolio. That's how we

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get betas and you can calculate them they're not that hard to calculate. Now yours would probably

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be off a little bit or maybe a little more than a little bit because technically and I said this

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last time in Wednesday's lecture the beta you're supposed to use expected returns and expected

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standard deviations but mostly we're going we would be working with historical data so there

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would be a difference between what you see and what some big reporting service would show because

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it could do the crunching to get expected numbers instead of from the historical numbers. Anyway

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that one's there too. Another measure of risk and I kind of dismissed this one but it does have a

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useful part to it. The Sharpe ratio which is the return to your stock or portfolio minus the risk

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free rate over the standard deviation. In fact I've got a sheet that you'll be able to pull up later

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a risk and return sheet where it will do the Sharpe ratio it's just a one of the calculations

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that it does when you put in data. Now the Sharpe ratio as I said okay here's the big

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criticism of Sharpe. Sharpe uses a standard deviation as the metric of risk instead of

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beta as a metric of risk. I don't know it's just been around forever and it's almost always if

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you look at a mutual fund they'll report the Sharpe ratio it's easier to find the Sharpe ratio

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in the reporting than it is the beta sometimes. It's a number and it's kind of a it's a big thing

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here. Let me show you something here. Now there's something that's on the side here and I can turn

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let me turn off these lights so you can see a little better in here but R minus R sub F. The book,

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later it says it the way I say it but at first they call this the risk premium. The risk premium.

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Later, technically what we call this is the market premium over risk-free.

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You'll hear me call it the market premium. The market premium over the risk-free rate and you

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would do this for a stock like that. Here's what it's telling you. You can go risk-free anytime

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you want. You look like a very timid fearful investor. A man who would never take a chance

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on anything. When they say would you like to have corn flakes or grape nuts you say I don't go and

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get it over my head I'll have the corn flakes. You're the guy who drives at 25 miles an hour

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on the Autobahn as cars try to go around you and they take off your the sides of your car and their

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wins here. Okay you're the guy who did not want to go to college because you could go right out and

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get a job at $8 an hour. No risk of college for you but if you had gone to college you would have

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made $50 an hour. So there's a risk premium that you would realize by bearing risk instead of bearing

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no risk. So in other words this thing this animal right here and would be if I write it this way R

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sub M minus R sub F. This is the market premium. That's the market premium. So in other words if

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we expect the return to the market this year to be 16% and the risk-free rate is 4% then the market

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premium over risk-free is going to be 12%. This is your reward for bearing the risk of the market

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portfolio. This is your reward for bearing the risk of the market portfolio and that is hugely

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important to us because if you take beta of a stock times R sub M minus R sub F. Beta is what

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magnifies or demagnifies the market premium that you will realize. So in other words if I took a

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beta let's take a couple let's say beta 1 is 1.00 that would mean that you would have 1.00 times

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16% minus 4%. So you would earn exactly your your premium for the risk that you took at a 1.00 beta

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would be exactly the market return. If however let's say that you decided that you were going

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to take 1.5 beta then you would be have 1.50 times 16% minus 4% which would be 18%. That would be

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what you would earn because the beta has magnified the market premium. Suppose instead that you took

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a beta of 0.5 that would mean which would be 6%. You take half of the market risk you get half of

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the markets reward. Now one special one here suppose that you did not want to take any risk

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beta 4 I'm sorry I'm writing these all over the board here these tiny little boards they have here

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beta sub 4 is 0.00 in other words you want something that has no beta risk. Well in that

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case you would have 0.00 times 16% minus 4%. You would get no reward for bearing any of the

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market risk. Now that doesn't mean you won't get a reward that's where CAPM comes in but as far as

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market driven risk you get none. That's all the beta is. Beta is nothing but a magnifier or

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demagnifier on the market premium. Beta is nothing but a magnifier or a demagnifier on the market

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premium. See the market premium is 12%. Beta is going to either magnify it or demagnify it.

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That's all beta does. But this is driven by the markets conditions. So as the expected return to

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the market portfolio changes or as the risk-free rate changes then this magnification or

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demagnification is on a different number. Let me take this off the board here just put it together.

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We start with a premise here. No investment would give you less than the risk-free rate. Because

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suppose I'm going to give you an investment sir that is risky as hell but you can and you will

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earn just what you would get on a Treasury bill that has no risk. Well you'll say kiss my ass I'm

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not going to do that I'll just take the Treasury bill. Okay I can give you ten dollars to walk out

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that door on the first floor or I can give you ten dollars to jump off the fourth floor balcony

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outside there. Either way you get ten dollars which one are you going to take? No because he'll be

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sued by the squirrely lands on those fat ass squirrels out there. The damn beggars walk up to

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you and can I please have something for? Get away from me you fat ass squirrel. Anyway but what I'm

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trying to get to here is that there's not going to be in a reasonable world any investment that

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would pay you below the risk-free rate. And so we could say well what did that mean for the expected

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return to a stock? Well the first thing it would mean is that you would earn the risk-free rate

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you would earn it because no investment is going to give you less than that because you would just

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go over and buy Treasuries if that happened. And then in addition to that you will get the market

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premium times the magnifier the beta. That mother right there is called the capital asset pricing

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model the capital asset pricing model the CAPM. This is what I was telling you about at the

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beginning if you're going to get a tattoo you cannot get wrong with this one. Large font times

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new Roman maybe just for the tastefulness of it. There you go. That is this now a little bit of a

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historical background on this just to make sure you know where where we are. There are competing

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models. There's one called APT the arbitrage pricing model. It's basically this one but it

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says that there are different betas attached to an investment and you would have to add in and I'm

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going to just write this here. Like this one might be the traditional beta and then there might be

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another beta times market premium and there might be another beta times the market premium. There

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might be a whole series of them. That's APT arbitrage pricing model but you know what many

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many studies have been done and most of them find out that worrying about these other weird-ass

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betas they don't do any better predicting return than the classic CAPM does. They really don't.

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Now we're always looking for another a better way because CAPM isn't perfect obviously. The

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expected return you calculate and what actually happens you know they can deviate. I'm going to

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talk about that in a minute that it's a very cool place to look but realistically speaking

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this works and in fact interestingly enough well let me go into this. I'll go into this. Graphically

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if I were to use this as the y and the beta as the x so on the horizontal axis we have beta on

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the vertical axis we have the expected return. Well the first thing we would know let's say so

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if on this axis here's 1.00 for beta I'm doing 0.2 increments here then we would know that a

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beta of 1 will yield the expected return to the market portfolio. Well that's what a beta of 1

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means. That's why we call it beta of 1. We also know that a beta of 0 would get us the risk-free

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rate R sub F. If you have no if the it's a risk-free interest instrument then we expect it to pay the

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risk-free rate. Now if you remember from linear your linear algebra two points create a line.

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This is the cap M graphically beta plotted against expected return. We call this line the securities

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market line. And it's just a plot so I could say well what would be a beta of 0.6 that's right

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here should be there. Beta of 1.5 should be right here. It's just a visual representation of cap M.

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But it has some interesting uses. First things first and this is my traditional rant from hell.

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We even have a contest we did I don't know if they're still running it but you see all of these

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talking heads. Well this fund manager got the highest return this year. Boy that guy's a real

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excellent son of a bitch yes indeed. We give out awards we had their contests all over the country

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and we had one here. The team that gets the highest return wins. It's two-dimensional they

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completely ignore what risk was taken. Yeah I can be a hero I can get a damn return clear up here

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about where Jesus lives but you are going to take a massive risk to do that appropriateness of

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investment. You're sure you can be I a matter of fact this was 2-3 41 maybe about six years ago.

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I had teens make portfolios and I said okay choose wisely and get it done great get a good

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return on it and I told them what I would expect them to get based upon cap M. Report cap M report

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what the expected return is and then at the end of the semester report what your return is. Okay

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so in other words you got to hit cap M. Well this one group they came in about two weeks before the

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end of the semester and they'd been working their beta was all over the place they were adding

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things pulling things out and I couldn't even figure out where the hell it was the beta but

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their return was negative eight percent about no negative seven percent and they said so basically

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we're screwed and I said what do you do? Have any of you ever was old college football term have any

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of you ever heard of the Hail Mary in football? You're clear back near your own goal line and

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the Hail Mary is that pass clear down the field fourth and 15 and you've just Hail Mary to throw

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it clear down the field and hope one of your guys catches it down there. Said you can do a Hail Mary

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liquidate the portfolio and just throw it into the highest beta thing you can find because I

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mean theoretically you put a bait out there at least two weeks you're going to have a return

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up there maybe well I'll be darned if they did and they came out pretty well I mean of course that

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was also a portfolio that could have crashed and burned them so that they would have not passed my

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course and matter of fact they probably couldn't have gotten a job at ace trucking Scott gotten his

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scholarship at ace trucking school okay but yeah you can I mean all this is doing is telling you

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look what do you expect to return based upon the beta but that's the important thing is that there's

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no such thing as a an expected return or a return to a portfolio it is always attached to a risk

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variable somewhere in there but here's the interesting thing we actual analysis puts the

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portfolios the real portfolios all around it now we have some anomalous portfolios it's more like

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it's not the real world doesn't lie on a perfect line it's a lies on a scatterplot so the world

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doesn't really oh god this is a cap M we better get these returns right there now it'll be around

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that now that we do see a few anomalies and it's the stuff of research papers and all that like

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for example there are there's an anomaly called the January effect where there are certain stocks

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classes classes of stocks that seem to violate cap M there's another one called a small cap

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phenomenon where certain types of small capitalization stocks seem to seem to come in above the

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securities market line however there's a more enduring phenomenon and you might actually be

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part of that not know it see most day traders and amateur investors lose money I in real terms or

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in terms of opportunity cost of the time and capital they put into doing day trading they lose

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it but every now and then we see a trader we see someone who routinely gets a return above the

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securities market line of course we see plenty of traders who are below it you see right here this

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trader above he is earning an abnormal return and it's not just a one-off this it wasn't a

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one-trick pony this one keeps staying above it we have a name for this distance right here from

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where cap M says he should earn or she and where he or she does earn we call that Jensen's alpha

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Jensen's alpha as a matter of fact there's a famous and very good website called seeking

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alpha have any of you ever heard of it what you're doing is a play for those who know what alpha is

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Jensen's alpha so of course trading house they're going to get free accounts because all we need to

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do is find you mr. genius and then we watch what you invest in and then we front run you you know

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what front running is no in front of you you say I want to put in this trade for this stock and a

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split second before we execute your trade we execute ours for what you did that's front running

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it's illegal okay but yeah we're looking for the pause we're seeking alphas yeah I get yours and

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you're going to go okay I got to watch how I say this you see there used to be a system called

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SOES small order entry system so that small orders got in first before large orders it was

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just a NASDAQ thing okay and they've changed it it's got a different name now I don't remember

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what the name is now but that's still the way it is so I as an insider in order to take advantage

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of this I cannot put in a big block trade what I'll do is I'll have a hundred a thousand phony

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shadow accounts each one will be a small order entry system I just have those happen and then a

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split second later I execute your order matter of fact the algo is simply okay this is one of our

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alphas this is an alpha trade and so the alpha will will electronically put in a mass order

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through the that each one of them will be small but they'll get through the SOES system and then

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yours will come in towards the back door of the other ones they'll muscle you out of the way and

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get theirs in you think it doesn't happen happens all the time we're always looking for it it was

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like up in Chicagoland I took my suits up to the White Sox so they could learn about finance at

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the White Sox and what they were we so they maybe get jobs there's something like that and they were

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we were at we were hosted by the White Sox charitable organization they spend a lot of

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money every summer setting up and funding Little League teams through Chicagoland hundreds and

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hundreds of Little League teams now do you think that they do this out of the beneficence of their

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hearts no all it takes is finding one little snot-nosed kid nine years old who's got an arm

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that just won't quit or one that knows how to hustle bases faster than anyone else or someone

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who just happens to be just unbelievable with that bat three four of those out of five thousand ten

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thousand kids and you have won your investment it's the same thing it's the same idea you're

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a charitable person but you're always looking for that winner and then you can milk that winner you

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find that kid you go to his family we're going to take care of you now we'll make sure you have a

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good place to live you've got food on the table and we're going to make sure that kid gets his

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school school work done we'll have tutors we'll do the whole damn nine yards for that kid if you

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will sign us with an option for that kid down the road for it for us to get him into the

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farm league a little later these are the kinds of things that happen okay and in trading we are

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always seeking alphas so are you know you hear about well she's an alpha male now we're looking

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for a completely different kind we're looking for the nerd the geek that just happens to have the

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magic we don't know why they have it hell they might use magic mushrooms we don't care but at

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the same time we're always looking for those players the ones that just seem to have a magic

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I was a casino when it back many many many years ago there was once in a while you see some son of

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a bitch he could not lose and of course I was getting poorer and poorer the more I paid 20

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played on the 21 table or something like that but that son of a bitch he just kept winning and it's

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a magic but anyway okay so that's an alpha that's a positive but don't get me wrong this guy down

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here that's a negative alpha so we're always looking for the alpha and as long as you stay

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at least alpha zero or a little bit above alpha zero you are actually beating the market the term

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beating the market is misused oh he got higher than the market portfolio so I beat the market

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no he just went out here hi see this is the return to the market portfolio sure you can beat that by

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just taking a higher beta on your portfolio but actually beating the market portfolio really

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means at that level of beta of your portfolio what did you do did you get above cap M did you get a

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positive alpha that is beating the market one more thing about that if I see one of you getting a

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positive alpha I know it's genuine and I also know that you probably won't do it again if you do I

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want to be your friend for life but I mean an out positive alpha for one year or for a couple of

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months it usually vanishes it's the enduring positive alpha that is a mark of a truly good

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small-time investor when I see a large investor who's constantly getting a positive alpha I

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smell a rat I smell insider insider trading that's all there is to it because the reality is that

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having a positive alpha you either have to have a gift or you have to have some kind of insider

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information that's just the reality of it I'm not gonna bullshit you about that you're someone well

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I beat the market every year okay first of all that means is that you took a high beta portfolio

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no no no it was at that beta I got a positive alpha every year okay exactly how are you doing

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this because the market if I identify you sir as having a positive alpha year after year I'm going

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to start trading in front of you and I'll suck your profit away you think the price stock price

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is going to go up to ten dollars well I'll make sure I buy into and drive it up to ten before your

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order ever gets traded so you will lose that gift because everyone will figure out what you're doing

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and because you signal it when you do the buy order or the sell order you're signaling to the

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market here I am and then everyone's going to come in there and take your mojo now a couple of

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things here first of all the return to your portfolio I mean this is kind of like stupid

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pet trick stuff weight of poor of portfolio of stock one times the return to talk sock one plus

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the weight of sock two times the return to sock two plus the weight of sock and times the return

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to stock and okay it's nothing hard you can just put it the return to the portfolio is the sum from

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i equals one to n of the weights of the individual components times the return to the individual

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components just take the weight times the return add them up some product on excel and you're there

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that's your dinner yeah however well let's get that one down I saw some look look at hers but

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one of the things about that is that the betas are a little bit suspect that she had those are

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high beta stocks another a really great example was a former senator matter of fact I think her

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niece is running for a congressional seat here in Illinois somewhere but she was had was in the

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secret meetings when the before the coat before the covert pandemic was known to the outside world

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and she unquestionably traded on vaccine stocks more importantly her husband is the chairman and

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owner of the New York Stock Exchange he did too they are untouchable there's no question that they

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were using secret information to trade in to take a profit to make money off the off the pandemic

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there were others we've count probably five representatives and one senator clearly and of

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course they're going to say we don't control our portfolios we have it all done through a

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blind trust and a portfolio manager well they have something called a telephone and they probably

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called the portfolio manager said get that hell into mrna moderna get your the hell into Pfizer

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pfe get yourself into AstraZeneca and get the hell out of this this this and this that's all it

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takes and of course politics that's which is why I always thought I should run for pop for a

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political position I mean I've got hell I got the damn charm for it but aside from that yeah

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yeah and that's why you want to watch those sons of bitches as closely as you can there are reporting

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services of report on insider trading that's just the CEOs and the C-suite people doing buys and

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sells keeping an eye on those giant dogs like that hard as hell because they hide under privacy laws

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they use private trusts and you can't see it until their financial disclosures and so by then of

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course it's too late to know what they're doing we have some tricks in the book to watch

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well if you're obsessed with her I mean she's pretty old for a guy your age but you know I

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mean don't get it don't get into this obsession that it's one political party the Republicans

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were the ones who played that game with the kovat virus only one Democrat and he's a dumbass

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and but at the same time and it's not just politicians don't get me wrong a lot of the

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wealthiest people in the world I mean Elon Musk and his brother were insider trading there's no

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question about it they've been chased around and around by the SEC on their insider trading

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they'll never burn them now if you do it mr. cousins you will be caught and you will be made

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into some hard timers old lady with a full wedding ceremony for ten years us at the bottom of the

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level if we do anything wrong even if we fart sideways out of our butts we're nailed the big

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dogs are hardly ever once in a while they'll make an example of a whale but for the reality of it

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finra is for us little people and that's just reality of it and they've had a finra representative

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here and I cooked her on the law floor and so I'm not invited to have to go to those again but

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anyway let me get on to something else here let me get on to something else here on this oh by the

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way the beta of a portfolio is the same thing the beta of a portfolio is nothing but the sum from

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i equals 1 to n of the weight of each stock in the portfolio times the beta of that stock you just

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take the weights on the beta and add them up and that's an important one to know because that gives

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you what the overall beta of your portfolio is now let me go back here though and talk about a

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lonely little animal called the Pearson correlation coefficient you see a stock has two kinds of risk

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as I said there is the total risk is the diversifiable risk the risk that can be removed

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through portfolio diversification plus the non diversifiable risk well the non diversifiable

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risk is beta your job is to make that diversifiable risk go away and that is that risk

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pooling that I told you about on Wednesday the more you put in the more the kinks in each the

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standalone risk goes away so if you were to make your own portfolio let me show you over here

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number of stocks on the horizontal axis and the total risk of the portfolio here if you have one

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stock in a portfolio you eat the risk of that stock both the diversifiable and the non diversifiable

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I think I already said it you buy Microsoft on its own that beta represents only about 40% of what

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you're going to face as far as volatility goes buying single stock is insane you're not going to

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get rewarded for something that you don't have to do you're not going to get any reward at all only

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for the diverse fought non diverse fibers but as you put in more and more stocks into a portfolio

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the non diverse the diversifiable risk component goes away and you ask them tonically approach the

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non diversifiable risk how many does it take 95% of the diverse viable risk will be gone with about

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35 stocks that's a bad thing though because you have to manage a 35 stock portfolio that's

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expensive and it's time-consuming because you've got to be constantly balancing the portfolio or

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you could buy an ETF the spider the S&P 500 spider SPY

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that son of a bitch has 500 stocks and you buy one share of that and you have the portfolio

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diversification of the S&P 500 in fact it is so well diversified that we use it as a proxy for

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the market portfolio because it's got so many stocks in it but here's the thing suppose that

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you want to build a portfolio and you go buy 35 stocks that's what you need to do is find

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stocks that have low correlation against each other so that when one's going up the other's

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going down and they are canceling out each other's standalone risk so how do we do that how do we

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find those well there is a wonderful place called asset the portfolio visualizer I can type in

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stocks and see what their correlation coefficients are so let me do that right now let's try

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Walmart WMT put a space oh I don't know meta is meta METE I thought I think it'll tell me

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I'm wrong let's try General Motors Tesla Pfizer give me give me some guidance here what else

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Apple oh a APL Lockheed Martin what is MA is it MA yeah let's do these now you can leave these

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alone you can be a little fancier if you want now what you get is a correlation matrix now you may

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have did they show well I keep forgetting you probably aren't fully through stats this shows

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each one against its counterparts so for example Walmart against Walmart has a perfect correlation

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1.00 here's my rule and you can do others will say different things my rule rule is no more than

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point 3l no more so I look over here Walmart and meta they would be great in a portfolio together

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because they're canceling out a lot they they're very poorly correlated at point one two Walmart

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against GM is great against Tesla against Pfizer now here's one right on the edge Walmart against

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Apple their points 3l that's right about I mean I don't even need to do that because I've got so

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many already Walmart and against MasterCard Walmart is actually one that would be good in any

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portfolio that would be sore what we call one of our keys for our portfolio would be a Walmart

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because it seems to be correlated with almost nothing now let's look at meta now this is

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symmetric about the diagonal so we'll go to meta we'll look at meta against GM yeah that's too bad

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test it's against Tesla not bad oh look at meta against MasterCard point three six now sometimes

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it's obvious why they're highly correlated and other times it's like WTF what you know hot why

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but here it is they would not be good in a portfolio together because they're not doing

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as much as other stocks would do look at General Motors come over here aha well obviously against

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Tesla it's about point 3l Pfizer yeah now that one would be why is General Motors have a nasty

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correlation with Apple who knows but against Lockheed Martin a defense industry company low

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but General Motors against MasterCard I know why General Motors credit they are subject to exposure

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of risks in the same credit extending industry that one's okay I got it Tesla against Pfizer I

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mean there's so it's obvious point zero six yeah sure but against Apple what and against Lockheed

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Martin oh that's a nice nice one point zero one MasterCard point two four not bad okay I'm going

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down here to Pfizer Pfizer against Apple and decent now that one Pfizer against Lockheed Martin

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what Lockheed Martin builds defense stuff and people get injured and Pfizer's medical stuff

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they give to them I don't know this MasterCard not bad Apple against Lockheed Martin who look

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at that Apple against MasterCard the hell oh they both they have credit facilities Lockheed Martin

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against MasterCard I got nothing I got nothing on that nope but do you see but do you see how

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this correlation matrix if for one thing I see right here Walmart is a key component of a portfolio

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because it's insensitive against almost everything and other ones that aren't too bad Tesla it's got

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a couple that worries me but I don't know Meta it's it's pretty good too against a lot of stuff

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except MasterCard you can go down the list here and you can see and you can type in your own

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symbols and before you decide to jump into a stock look at how it's correlated against something you

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already have use this portfolio visualizer it's just a great free tool it's been around for a

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long long long time and even my former students who are out there in the equities world they'll

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go back to and look at it when they're thinking of throwing in an investment because the last

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thing you want to do is put in two investments that feed each other's volatility you want them

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to cancel out each other's volatility and so you can get close faster down to that not your

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portfolio has nothing but non diversifiable risk in it kind of thing and you're never going to get

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there all the way but I will tell you a couple of one one little trick here along the way and this

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is something that I usually reserve for my 242 class investments let me show you something here

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I used to do this as part of the lectures and any more I don't but I'll show it to you on as a side

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hustle this you can do this on Google the word the term that I'm going to show you and you can see

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this over and over again if we were going to draw risk total rest in an deviation against expected

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return against return let's just do returns to different stocks and portfolios now this has been

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done so many times it's ridiculous and you'll see if you Google after I tell you the word let's take

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oh Microsoft its total risk and its return its risk as standard deviation or coefficient variation

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you could do take some other stocks with higher risk take some little portfolios and big portfolios

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high risk low risk now these scatter plots as I said they are the stuff of dissertations from long

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ago when we were still a little amazed at what we were seeing taking higher risk and the returns to

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different portfolios of stocks bonds stocks and bonds little portfolios big portfolios and over

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and over what happens is that we get scatter plots and now with computers they can do this in the

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blink of an eye we see something emerge that comes from the world of physics and chemistry is it also

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in the world of kinesiology it's in the world of engineering mechanical engineering electrical

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engineering it's a principle of the universe no matter how many points we plot there is a place

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where on the other side of it it's white space we never see anything up in here the term in

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mathematics for it and in engineering and physics is envelope it's a performance envelope we see it

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you decide that you're going to become a beefy muscle builder you know you start playing the

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rocky music every morning ba ba ba ba ba ba ba ba ba ba have you ever seen the original rocky movie

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I thought as a kid I wanted to do that every morning he got up and he put five eggs in a glass

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and he drank them well I thought I was going to do that now that was that first time I did that that

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was when I realized what the term debris field means I mean down it went and then up it came but

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anyway but no matter how hard you try there's a point of weight level you cannot cross no matter

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what you do there is you've hit your envelope no matter how much you tweak your car there is a

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speed that you cannot get above no matter where we go in the universe there is a size of a star

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that is the limit we do not see one larger than that limit no matter how much power you put into

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an engine the speed of light is the barrier you can't cross it that's why we have to do tricks

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we're working on these warp drives that can technically they don't break the speed of light

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they just kind of squeeze space in front and stretch it in back but you see this envelope

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right here we call it in finance the frontier of efficient investments the frontier of efficient

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investments it cannot be crossed as a matter of fact if you type in Google a frontier of

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efficient investments investments images you'll see pictures of this and odd weird variations

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but you'll see this over matter of fact I've made one myself and it was on Google for years before

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it was replaced by more recent pictures of it it's just that's where the end is now what would be on

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that frontier well you see what would be on it would be market portfolios all of the stocks and

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bonds in the world in different combinations but all of them those would be market portfolios it is

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a theoretical boundary we can't reach it the S&P 500 is near it but it's not on it so let me show

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you like let's say this is Microsoft stock it has that risk level and it has that return

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we should be able to get that return with a perfect portfolio right there so in other words this is

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all diversifiable risk only this part is beta risk because I could buy Microsoft but there's

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also a portfolio that would get me the same return with less risk because I wouldn't have

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that diversifiable risk in it now what does this mean you can't for example now okay here's here's

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the one of the ways that you can get as close as possible you get it's called super portfolios what

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you would do is you would get three very well diversified portfolios and you would put them

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together and they would actually get you closer to the frontier I mean you're talking about in

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millimeters but it actually is a portfolio management strategy you don't just buy the

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spider you grab the spider and another highly diversified ETF and another highly diversified

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01:08:28,920 --> 01:08:37,760
ETF you just put three of these together and they'll squeeze out a little more of that non-diverse

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01:08:37,760 --> 01:08:46,400
that diversifiable risk but even if you just got the S&P 500 you're pretty darn close to the frontier

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01:08:46,400 --> 01:08:54,440
you can't get there that it's a theoretical place it's the envelope it's that weight that you'll

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01:08:54,440 --> 01:09:00,720
never achieve but you can get closer and closer the more you're willing to get horny is it's that

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01:09:00,720 --> 01:09:06,720
speed you can get closer and closer to it with your car but you can never quite get to that dream

440
01:09:06,720 --> 01:09:17,920
speed in it this is all in explosives we can yield more and more thermal energy out of a bomb a given

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01:09:17,920 --> 01:09:25,080
chemical bomb but where's a certain place where we can't get any more explosive power out of it

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it's just the way the universe works it sets limits on them and says get closer to me and that's

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what we do a lot of time the portfolio management is we just get a couple of really well diversified

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portfolios and we put the damn things together and the result of it is that we get the same we get

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it the same expected return but a little less of that standalone risk as it were one of the things

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we do and like I said I there are a couple other I'm reticent to use the word tricks there are other

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ways that you can inch up to the frontier one of them believe it or not is to mix t-bills in and

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if you take me for 341 if you're that lucky I'll even show you how you pull that stunt it's pretty

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cool but this is the this is the introduction to finance that if before this you might have been a

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day trader but here this is where we you're looking inside and now you're seeing the mechanics of the

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flaws of physics and how they relate to what we do here in our subject that's all I have for you

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today I thank you

