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Finance: What is Fisher's Separation Theorem? 33 Views


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00:00

and finance Allah shmoop What is Fisher's separation syrup Fisher

00:08

separation The're um like you have to keep your tuna

00:11

away from your marlin and they're not quite well The

00:14

separation serum was first proposed by economist Irving Fisher Nothing

00:19

to do with the seafood It has to do with

00:21

corporate decision making so a bit about how running a

00:24

big corporation works While a corporation has two sets of

00:28

bosses you've got the owners and then you've got the

00:30

manager In small companies these were often the same people

00:33

The guy who owns the Sneaker Repair Pagoda at the

00:37

mall probably owns 100% of the stock in that company

00:40

and works full time as the manager and probably is

00:43

the only employee to butt in large corporations A separation

00:46

comes into play There are shareholders right people who on

00:49

the common stock And there are the managers People like

00:51

the CEO CFO CEO ahead of technology and so on

00:55

The people who run the Company day today there can

00:57

be overlap like managers often own stock but for the

01:00

most part the rules operate separately Fisher's separation serum deals

01:05

with the fact that a corporation has run by the

01:07

manager's acts separately from the wishes of its shareholders like

01:11

they're not perfectly parallel The best thing for the company

01:14

is often different than the best thing for shareholders at

01:16

least in the short term Each entity the shareholders and

01:19

the corporate managers responds to different forces and thinks differently

01:23

about the best uses of the company's precious resource is

01:26

or assets or money Will the fissure separation Throughem says

01:30

these differences don't really matter at least in terms of

01:33

making corporate decisions The theory states that a corporation should

01:36

maximize its present value regardless of what its shareholders want

01:43

You run treat not Trick Ink a company that makes

01:47

tiny X ray devices to check Halloween candy for razor

01:50

blades You made 10,000,000 box in profit last year You

01:53

have two fundamental choices You can use that money to

01:56

invest in the business things like expanding your X ray

01:59

mine or running in R and D Yet to make

02:01

a better caramel density ofthe center Or you can give

02:04

the money to shareholders in the form of a special

02:07

dividend which means giving them cash as a reward for

02:10

well holding the stock So what do your shareholders think

02:13

you should do with your 10,000,000 bucks in profit Well

02:16

one of your shareholders Polly Favor is sitting pretty Her

02:20

other investments are going well Her second trust fund just

02:23

vested and she miraculously just won the national lottery in

02:27

Mozambique She doesn't need the money She tells you to

02:29

invest the full $10,000,000 in the company to grow it

02:33

Meanwhile another shareholder Artie Loot Flush isn't doing so well

02:37

He got divorced last year and owes a lot of

02:39

child support both to his ex wife and his former

02:42

mistress Meanwhile his other investments have all gone south and

02:45

he lost a ton of money in an unsuccessful attempt

02:48

Teo Rig the National Lottery of Mozambique He really needs

02:52

the money The cash Today baby He asks you to

02:55

turn the full $10,000,000 a profit into a special dividend

02:59

The fissure separation throughem suggests that you'll ignore them both

03:02

that you'll figure out what projects makes sense to invest

03:05

in and commit whatever profit is needed to run those

03:08

programs Whatever's leftover well then you'll give it out as

03:11

a dividend so your staff crunches the numbers and decides

03:14

that well If you buy another Ray excrete ER for

02:57

1,000,000 bucks it'll have a return on investment of 25%

03:21

next year like 250 grand And meanwhile if you invest

03:23

$4,000,000 in developing a new product for checking Valentine's Day

03:27

candy for poison it'll show a return of 15% Every

03:30

other possible project has unexpected return of only 7% or

03:34

less Well meanwhile your nerd crew determines that capital markets

03:38

would return 8% over the coming year And all this

03:41

means that if you borrow money you'll have to pay

03:43

8% interest on that loan Or if you loaned money

03:47

out while you'd get a return of 8% right so

03:49

there's your cut off If you can't get more than

03:51

8% return on your money well you might as well

03:54

just loan the money out or give in to your

03:55

shareholders as a dividend So that's what you do You

03:58

invest 1,000,000 box in a ray excrete er it has

04:01

a 25% of year return for a long time I

04:03

mean it gets you 250 grand by the end of

04:06

the year and then another 200 50 grand then next

04:08

year in 2 50 the next In the meantime you're

04:10

Ray X Streeter has all kinds of other values for

04:12

it However you do the calculation It's a really good

04:15

return 25 per cent away better than eight You also

04:17

invest 4,000,000 box in the Valentine's Day Poison prevention project

04:22

the VD three p As you call it you expect

04:25

it to return 15% meaning you'll wind up with 600

04:28

grand in profits next year and then 600 next and

04:32

600 than next And then the value will go up

04:34

and however you do the math at 15% is way

04:37

better than 8% kind of returns you invested then 5,000,000

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ofyour 10,000,000 in high yield high return projects You have

04:44

5,000,000 bucks left Well what do you do with it

04:46

You give that out in dividends So Polly is a

04:49

little disappointed because she wanted to keep the money and

04:52

invested But she takes the extra money you give her

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and loans it out on her own at 8% interest

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It therefore gives her the same return as she would

04:59

have gotten from keeping the money with your company You

05:02

already invested in all your high return projects The best

05:05

the company could have done with that money is earned

05:07

8% at least return in the capital markets The same

05:10

thing that Polly is going to get returned to her

05:12

with her investing it in the capital markets It doesn't

05:15

matter whether she has the money or the company has

05:18

the money Meanwhile already is bummed He needed that extra

05:21

money bad but he still has access to the money

05:24

he needs He can go into the capital markets and

05:26

borrow it at 8% interest He can just give Holly

05:29

a call and Violet from her like why not Okay

05:32

but how is already gonna pay the money back Wealthy

05:34

company that he invests in took $5,000,000 turned it into

05:38

a 5.8 5,000,000 in a year Right That's the 1,000,000

05:42

invested A 25% return and the 4,000,000 invested A 15%

05:46

return What blended together That's a 17% return on the

05:49

$5,000,000 investment Much more than that 8% interest or 8%

05:54

return would have returned to them had they invested it

05:56

in a lesser return project So next year come dividend

05:59

time he'll get that additional amount paid out which he

06:02

can use to pay down debt Unless the company can

06:04

invested at a higher rate than the vanilla capital market

06:07

rate at which point then already will just roll over

06:09

his loan or his investment turn he'll sell for another

06:12

year and let the company or in a higher return

06:14

again So that's the math behind the fissure separation serum

06:18

The company will take a CZ much profit as it

06:20

needs to run its high return projects anything more than

06:23

it could get by just loaning out the money at

06:25

interest rates or investing it in some analogous project Everything

06:29

else then goes to shareholders with shareholders Stay happy because

06:32

they can just use the capital markets to make up

06:34

the difference in investment returns If they wanted less money

06:37

they could loan out the extra if they wanted more

06:40

than they can borrow what they need Meanwhile if company

06:42

needs more money it can borrow it as well Like

06:45

say next year you bring in 7,000,000 in profit in

06:48

the capital markets are paying 8% again but you have

06:49

$10,000,000 in projects that can make more than a 15%

06:54

return For that extra 3,000,000 bucks you'll borrow the funds

06:57

at 8% interest and pay it back after the investments

07:01

return At least 15% right borrow it ate Earn it

07:04

15 You end up pocketing 7% on the plus side

07:07

So in that year shareholders won't get any dividends All

07:10

the money plus extra that's been borrowed gets reinvested in

07:13

the company But shareholders don't mind because they can also

07:16

borrow money if they need it Meanwhile the money invested

07:19

with you makes an above market return and a key

07:21

here is that it makes no difference how the firm's

07:24

investments are finance whether by dead or cash or stock

07:27

whatever it is they have in their coffers And if

07:29

things get too bad for Artie well he can always

07:32

sell his stock and treat not trick ink right Well

07:35

the sale will give him plenty of money for child

07:37

support and for legal costs related to the charges of

07:40

lottery tampering he faces in Mozambique But that's a separate

07:43

story

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