1. If the risk-free rate falls, the certainty equivalent adjustment factor will:a.rise for risk averse investors.b.fall for risk averse investorsc.fall for risk seeking investorsd.None of the above.
Question
- If the risk-free rate falls, the certainty equivalent adjustment factor will:a.rise for risk averse investors.b.fall for risk averse investorsc.fall for risk seeking investorsd.None of the above.
Solution
The certainty equivalent adjustment factor is a measure used in finance to adjust the expected return on an investment for the risk associated with that investment. It is particularly relevant for risk-averse investors, who prefer a certain return to a risky one.
a. Rise for risk averse investors: This is the correct answer. When the risk-free rate falls, the return on risk-free investments decreases. This makes risky investments relatively more attractive, so the certainty equivalent adjustment factor, which decreases the expected return on risky investments, must increase to keep risk-averse investors indifferent between risky and risk-free investments.
b. Fall for risk averse investors: This is incorrect. As explained above, the certainty equivalent adjustment factor should increase, not decrease, when the risk-free rate falls.
c. Fall for risk seeking investors: This is also incorrect. Risk-seeking investors prefer risky investments to risk-free ones, so a decrease in the risk-free rate should make risky investments even more attractive to them. However, the certainty equivalent adjustment factor is a measure of risk aversion, not risk seeking, so it is not directly relevant to risk-seeking investors.
d. None of the above: This is incorrect because option a is correct.
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