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10 October, 18:43

An investment's possible payoffs are - 10 percent, 10 percent, and 30 percent. The probabilities that these payoffs will occur are 0.30, 0.40, and 0.30, respectively. What is the expected rate of return on the investment?

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  1. 10 October, 18:50
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    The expected rate of return on the investment is 10%

    Explanation:

    Expected rate of return is calculated as a weighted average of all possible payoff. It is calculated by multiplying potential payoffs by the chances of occurring and then adding these results.

    In this case

    Payoffs = - 10 percent Probabilities 0.30 (30%)

    Payoffs = 10 percent Probabilities 0.40 (40%)

    Payoffs = 30 percent Probabilities 0.30 (30%)

    Expected rate of return = - 10% x 30% + 10% x 40% + 30% x 30%

    Expected rate of return = - 0.03+0.04 + 0.09=0.1

    Expected rate of return = 10%
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