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Thepotemich [5.8K]
3 years ago
7

You recently purchased a stock that is expected to earn 20 percent in a booming economy, 15 percent in a normal economy, and los

e 2 percent in a recessionary economy. There is 21 percent probability of a boom, 72 percent chance of a normal economy, and 7 percent chance of a recession. What is your expected rate of return on this stock
Business
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

Expected rate of return on stock is 14.86%

Explanation:

The expected rate of return of a stock is the mean return that is expected to be earned by the stock considering the different scenarios that can occur, the return in these scenarios and the probability of the occurrence of these scenarios. The formula for expected rate of return of stock is,

rE = pA * rA  +  pB * rB  +  ...  + pN * rN

Where,

  • pA, pB, ... represents the probability that scenario A, B and so on will occur or the probability of each scenario
  • rA, rB, ... represents the return in scenario A, B and so on

rE = 0.21 * 0.2  +  0.72 * 0.15  +  0.07 * -0.02

rE = 0.1486 or 14.86%

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Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H rep
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Answer:

USING 0% DISCOUNT RATE

PROJECT E

Year Cashflow [email protected]%     PV

             $                  $

0            (23,000) 1  (23,000)

1             5,000         1         5,000

2                  6000           1              6,000

3      7000          1              7,000

4                 10,000           1              10,000

                                               NPV  5,000

                   PROJECT H

Year Cashflow [email protected]%     PV

             $                  $

0            (25,000) 1  (23,000)

1             16,000 1         16,000

2                  5,000          1              5,000

3      4,000          1              4,000

                                               NPV  2,000

Project A should be accepted

USING 9% DISCOUNT RATE

Year Cashflow [email protected]%           PV

             $                      $

0            (23,000) 1        (23,000)

1             5,000         0.9174         4,587

2                  6000           0.8462            5,077

3      7000          0.7722             5,405

4                 10,000           0.7084            7,084

                                                       NPV   (847)

PROJECT H

Year Cashflow [email protected]%            PV

             $                        $

0            (25,000) 1         (23,000)

1             16,000 0.9714         15,542

2                  5,000          0.8462            4,231

3      4,000          0.7722            3,089

                                                     NPV    (138)

None of the projects should be accepted because they have negative NPV

Explanation:

The question requires the computation of NPV using 0% and 9%.

The cashflows of the two projects will be discounted at 0% and 9%.

The discount factors for each project can be calculated using the formula (1+r)-n. The cashflows of the projects will be multiplied by the discount factors to obtain the present values. NPV is the difference between present values of cash inflows and initial outlay.

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