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nevsk [136]
3 years ago
14

Suppose you have $100 of endowment, and you are offered a chance to buy a lottery which costs $36. The lottery has 43% of chance

to win a prize of $G, or you just lose and get nothing. Suppose your utility function on wealth is u(w)=w^1/2. What is the least prize size G that you will be willing to buy the lottery? (Round to the second digit after decimal point.)
Business
1 answer:
Yuliya22 [10]3 years ago
6 0

Answer:

96.02

Explanation:

Lottery's Expected utility = \sqrt{100} = 10

Income in good state = 100 - 36 + G = 64 + G

Income in bad state = 100 - 36 = 64

Probability in good state = 43%

Probability in bad state = 100% - 43% = 57%

Expected utility = Probability in good state x \sqrt{(64 + G )} + Probability in bad state x \sqrt{64\\}

10 = 43% x \sqrt{(64 + G )} + 57% x 8

10 = 43% x \sqrt{(64 + G )} + 4.56

10 - 4.56 = 43% x \sqrt{(64 + G )}

5.44 = = 43% x \sqrt{(64 + G )}

5.44 / 43% = \sqrt{(64 + G )}

12.65 = \sqrt{(64 + G )}

12.65^{2} = (\sqrt{(64 + G )})^{2}

160.0225 = 64 + G

G = 160.0225 - 64

G = 96.0225

G = 96.02

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Kimona Company hired you as a consultant to help estimate its cost of common equity. You have obtained the following data: D0 =
nlexa [21]

Answer:

-2.23%

Explanation:

The formula to compute the cost of common equity under the DCF method is shown below:

= Current year dividend ÷ price + Growth rate

In first case,

The current dividend would be

= $0.85 + $0.85 × 5%

= $0.85 + $0.0425

= $0.8925

The other things would remain the same

So, the cost of common equity would be

= $0.8925 ÷ $20 + 5%

= 0.044625 + 0.05

= 9.46%

In second case,

The price would be $40

The other things would remain the same

So, the cost of common equity would be

= $0.8925 ÷ $40 + 5%

= 0.0223125 + 0.05

= 7.23%

The difference would be

= 7.23% - 9.46%

= -2.23%

4 0
3 years ago
Ben really enjoys outdoor activities. When he isn't working, he's biking, hiking, sailing, or training to run marathons. Which o
Amanda [17]

Answer:

a) high-paying

Explanation:

  • As ben is an outdoor person and likes to have most of the time sent out, has the hiking and sailing or training and running marathons he could be least be focused on the jobs that are high or good-paying.
  • As ben enjoys his life and lives for the moment and thus thinks of location, flexible work schedules and other benefits. But does not rely on the high paying careers.
4 0
3 years ago
Bruin, Inc., has identified the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 –$ 37,500 –$ 37,50
sp2606 [1]

Answer:

Year             Cash Flow (A)            Cash Flow (B)

0                      -37,500                      -37,500

1                         17,300                         5,700

2                        16,200                       12,900

3                        13,800                       16,300

4                         7,600                       27,500

1) Using an excel spreadsheet and the IRR function:

IRR project A = 20%

IRR project B = 19%

2) Using the IRR decision rule, Bruin should choose project A.

3) In this case, since the length of the projects is only 4 years, then there should be no problem with the IRR decision rule, but for projects with longer time lengths, the discounts rates might vary and the best option is to use the modified internal rate of return (MIRR). But in this case the NPV of project B is higher, then Bruin should probably project B because it has a higher NPV. The NPV is always more important then the IRR.

4) Again using an excel spreadsheet and the NPV function:

NPV project A = $6,331

NPV project B = $8,139

5) first we must subtract cash flows from A by the  cash flows from B:

1      $11,600

2     $3,300

3    -$2,500

4   -$19,900

then we calculate the IRR = 16%

Bruin should be indifferent between the two projects at a 16% discount rate. That means that at discount rates above 16%, you should choose project A, but at discount rates below 16%, you should choose project B

6 0
3 years ago
When economists are sketching examples of demand and supply, it is common to sketch a demand or supply curve that is close to ve
Hitman42 [59]

Answer:

a. inelastic

Explanation:

<em>As you can see in the image I added, the curve that is close to a vertical is the inelastic one.</em> Inelastic means that the demand remains the same even if the prices go up or down.

I hope you find this information useful and interesting! Good luck!

6 0
3 years ago
Consider the following information about production in quarter 1 of 2019. Firm T produces 600 tires at a cost of $28 each, and s
bekas [8.4K]

Answer:

$3,860

Explanation:

<u>Value of stock at the end of Firm T:</u>

Firm T has stock of 20 tires at the end of the year

The cost price is $28 per tire

Value = Closing stock * Cost price of each tIres

Value = 20 * $28

Value = $560

<u />

<u>Value of stock at the end of Firm B:</u>

Firm B has stock of 10 bicycles at the end of the year

The cost price is $330 each

Value = Closing stock * Cost price of each bicycle

Value = 10 * $330

Value = $3,300

Value of the inventory investment = Value of stock at the end of Firm T + Value of stock at the end of Firm B

Value of the inventory investment = $560 + $3,300

Value of the inventory investment = $3,860

8 0
2 years ago
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