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Suppose that two factors have been identified for the U

Finance Jan 15, 2021

Suppose that two factors have been identified for the U.S. economy: the growth rate of industrial production, IP, and the inflation rate, IR. IP is expected to be 3%, and IR 5%. A stock with a beta of 1 on IP and .5 on IR currently is expected to provide a rate of return 12%. If industrial production actually grows by 5%, while the inflation rate turns out to be 8%, what is your revised estimate of the expected rate of return on the stock?

Expert Solution

Step1

Concept

The concept of this question belongs to arbitrage pricing theory model which has a general assumption that prices ,returns are affected by various factors like inflation,GNP(gross national product etc.)

Step2

Formula equation

Revised return=Expected return of stock+ beta*Factor1+ beta *factor2

Factor (in this question)=actual rate-expected rate

Step3

Understand the question

2 factors are given

Factor

Expected

Actual

beta

Industrial production

3%

5%

1

Inflation rate

5%

8%

0.5

Expected Return=12%

Step4

Solution

Revised Estimate = 0.12 + [1*(0.05-0.02)] + [0.5 * (0.08-0.05)]

Revised Estimate: 0.12+ [(1*.02) + (0.5*.03)] = .155 or 15.5%

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