Chapter 8 Risk and Rates of Return Answers to End-of-Chapter Questions 8-1 a. No, it is not riskless. The portfolio would be free of default risk and liquidity risk, but inflation could erode the portfolio’s purchasing power. If the actual inflation rate is greater than that expected, interest rates in general will rise to incorporate a larger inflation premium (IP) and—as we saw in Chapter 7—the value of the portfolio would decline. b. No, you would be subject to reinvestment rate risk. You might expect to “roll over” the Treasury bills at a constant (or even increasing) rate of interest, but if interest rates fall, your investment e will decrease. c. A . government-backed bond that provided interest with constant purchasing power (that is, an indexed bond) would be close to riskless. The . Treasury currently issues indexed bonds. 8-2 a. The probability distribution plete certainty is a vertical line. b. The probability distribution for total uncertainty is the X-axis from -¥ to +¥. 8-3 a. The expected return on a life insurance policy is calculated just as for mon stock. Each e is multiplied by its probability of occurrence, and then these products are summed. For example, suppose a 1-year term policy pays $10,000 at death, and the probability of the policyholder’s death in that year is 2%. Then, there is a 98% probability of zero return and a 2% probability of $10,000: Expected return = ($0) + ($10,000) = $200. This expected return could pared to the premium paid. Generally, the premium will be larger because of sales and administrative costs, and pany profits, indicating a negative expected rate of return on the investment in the policy. b. There is a perfect negative correlation between the returns on the life insurance policy and the returns on the policyholder’s human capital. In fact, these events (death and future lifetime earnings capacity) are mutually exclusive. The prices of goods and services must cover their costs. Costs inclu
