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Why is it reasonable to ignore diversifiable risk and care only about non-diversifiable risk? What about investors who put all their money into only a single risky stock? Can they properly ignore diversifiable risk?

Short Answer

Expert verified

The diversifiable risk can offset the good and bad effects causing no harm to the investor. But the non-diversifiable risk is unable to do such offset. So, one can ignore diversifiable risk and worry about non-diversifiable risk.

The investors who put all their money into a single risky stock can properly ignore diversifiable risk.

Step by step solution

01

Step 1. Diversifiable and non-diversifiable risk

For example, an investor has a diversified portfolio investment in two companies. One company is giving good returns; the other is giving bad returns. Both the returns will cancel out each other, and the investor will not get profit or loss. The risk taken by such an investor is the diversifiable risk. When the risk is non-diversifiable, such offsetting does not happen, and the investor faces a loss. So, the non-diversifiable risk can not be ignored.

02

Step 2. Investing in a single risky stock

The investors who put all their money into a single risky stock can properly ignore the diversifiable risk because they do not face it, but they face the non-diversifiable risk.

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Most popular questions from this chapter

Why is it so hard for actively managed funds to generate higher rates of return than passively managed index funds having similar levels of risk? Is there a simple way for an actively managed fund to increase its average expected rate of return?

Identify each of the following investments as either an economic investment or a financial investment.

a. A company builds a new factory.

b. A pension plan buys some Google stock.

c. A mining company sets up a new gold mine.

d. A woman buys a 100-year-old farmhouse in the countryside.

e. A man buys a newly built home in the city.

f. A company buys an old factory.

If an investment has 35 percent more non-diversifiable risk than the market portfolio, its beta will be:

  1. 35

  2. 1.35

  3. 0.35

Next, consider another pair of assets, C and D. Asset C will make a single payment of \(150 in one year while D will make a single payment of \)200 in one year. Assume that the current price of C is \(120 and that the current price of D is \)180.

c. What are the rates of return of assets C and D at their current prices? Given these rates of return, which asset should investors buy and which asset should they sell?

d. Assume that arbitrage continues until C and D have the same expected rate of return. When arbitrage ends, will C and D have the same price?

Compare your answers to questions a through d before answering question e.

e. We know that arbitrage will equalize rates of return. Does it also guarantee to equalize prices? In what situations will it equalize prices?

Suppose that the equation for the SLM is Y = 0.05 + 0.04X, where Y is the average expected rate of return, 0.05 is the vertical intercept, 0.04 is the slope, and X is the risk level as measured by beta. What is the risk-free interest rate for this SML? What is the average expected rate of return at a beta of 1.5? What is the value of beta at an average expected rate of return is 7 percent?

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