Asked by Rachel Oftedahl on May 07, 2024

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You have been given this probability distribution for the holding-period return for a stock:  Stock of the Economy  ProbabilityHPR  Boom 0.4022% Normal growth 0.3511% Recession 025−9%\begin{array}{lcc} \text { Stock of the Economy } & \text { Probability} & \text {HPR } \\ \text { Boom } &0.40&22\%\\ \text { Normal growth } &0.35&11\%\\\text { Recession }&025&-9\%\end{array} Stock of the Economy  Boom  Normal growth  Recession  Probability0.400.35025HPR 22%11%9%

What is the expected holding-period return for the stock?

A) 11.67%
B) 8.33%
C) 9.56%
D) 12.4%
E) None of the options are correct.

Expected Holding-Period Return

The total return anticipated on a bond if it is held until the end of its lifetime or holding period, including interest payments and capital gain or loss.

Probability Distribution

An analytical function that describes every probable value and its likelihood for a random variable over a predefined interval.

Stock of the Economy

The stock of the economy refers to the total value of all assets and investments available within an economy at a given time.

  • Become familiar with the concept and the process of calculating expected returns and their standard deviation.
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NM
nathan mcrimmonMay 09, 2024
Final Answer :
E
Explanation :
The expected holding-period return (HPR) can be calculated by multiplying each possible return by its probability and then summing these products. Thus, the calculation is as follows: 0.40×22%+0.35×11%+0.25×(−9%)0.40 \times 22\% + 0.35 \times 11\% + 0.25 \times (-9\%)0.40×22%+0.35×11%+0.25×(9%) = 8.8%+3.85%−2.25%8.8\% + 3.85\% - 2.25\%8.8%+3.85%2.25% = 10.4%10.4\%10.4% . Since none of the provided options match this result, the correct answer is E) None of the options are correct.