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Paraphin [41]
3 years ago
10

Investor A has an initial wealth of $100 and a utility function of the form: U(w) = log(w) where w is her wealth at any time. In

vestment Z offers her a return of −18% or +20% with equal probability. i. What is her expected utility if she invests nothing in Investment Z? ii. What is her expected utility if she invests entirely in Investment Z? iii. What proportion a of her wealth should she invest in Investment Z to maximize her expected utility? What is her expected utility if she invests this proportion in Investment Z?
Business
1 answer:
stepladder [879]3 years ago
5 0

With this initial investment of 100, the investors utility if she invests nothing is 2. If she invests entirely her utility is 2.00432

From the available question, these are the the solutions from option (i) to (iii)

i.) We have utility defined as

U(w) = log w

w = 100

Utility=log(100)

= 2

ii) If she invests entirely in Z, utility:

return*probability\\

-18% x 50% =  -9%

20% x 50% = 10%

-9% + 10% = 1%

w = 100 + 1

= 101

Utility = log(101)

= 2.00432

This is her utility if she invests entirely in Z.

iii) This investor has these two choices:

  • invest in z
  • leave resources idle

If she invests in z she gets a 1% increase. Therefore her wealth increases or is maximum when she invests in Z.

Her utility if she invests this proportion in Z is the same as what was solved in (ii) above.

Read more on brainly.com/question/4203540?referrer=searchResults

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Irina-Kira [14]

National Flood Insurance will allow James to recoup part of his losses.

The NFIP presently owes $20.525 billion to the U.S. Treasury, leaving $9.nine billion in borrowing authority from a $30.425 billion restriction in law. This debt is serviced by using the NFIP and hobby is paid through top rate revenues.

According to the NFIP, the following varieties of harm aren't blanketed via flood coverage: damage resulting from moisture, mold, or mold that would have been avoided by the assets proprietor or which isn't always due to the flood. Harm resulting from earth motion, although the earth movement is because of the flood.

The NFIP gives flood coverage to asset proprietors, renters, and organizations, and having this insurance enables them to get better faster whilst floodwaters recede. The NFIP works with communities required to adopt and implement floodplain management regulations that help mitigate flooding effects.

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7 0
2 years ago
The financing section of a cash budget is needed if there is a cash deficiency or if the ending cash balance is less than Entry
WITCHER [35]

Answer:

A. Management's minimum required balance.

Explanation:

The minimum balance is the minimum dollar sum that a client must have in an account to get some service benefit, for example, keeping the account open or getting premium.

4 0
3 years ago
Suppose you invest semiannually for 25 years in an annuity that pays 5% interest, compounded semiannually. At the end of the 25
bonufazy [111]

Answer:

$354,500

Explanation:

First find the amount invested ie the Present Value as follows :

n = 25 × 2 = 50

i = 5%

P/yr = 2

Pmt = $0

Fv = $500,000

Pv = ?

Using a Financial Calculator to enter the amounts as above, the Present Value is $145,471

Total Interest = Future Value - Present Value

                      = $500,000 - $145,471

                      = $354,529

Thus interest is $354,500 (nearest hundred dollars).

7 0
4 years ago
>Leland pays premiums of $5,000 for an insurance policy in the face amount of $25,000 upon the life of Caleb and subsequently
Ymorist [56]

Answer:

He can include $16,000 in his gross income.

Explanation:

As the life insurance policy was transferred for some valuable consideration so the amount of valuable consideration will be deducted from the insurance proceeds.

Also premium paid by the transferee will be deducted from proceeds.

Now as the transferee received $25,000 from insuarance company.

So Tylor can include $25,000 less $7,500 less $1,500 in his gross income.

He can include $16,000 in his gross income.

6 0
3 years ago
Mark owns his own business and wants to make sure that his employees arrive on time each day and take breaks as specified. He ha
olga2289 [7]

Operant conditioning is used by Mark .

<h3><u>Explanation:</u></h3>

The instrumental conditioning is the other name given for operant conditioning. It can be considered as a method of learning in which  rewards and punishments are used for modification of certain behaviors. This forms a relativity between certain behavior and the consequences of that behavior.

In the example given, Mark has decided to give rewards in order to make his employees to reach office at time. Monthly rewards are given to those employees who did not take breaks and thus he is using the principle of Operant conditioning .

6 0
3 years ago
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