Consider another situation involving the SML. Suppose that the risk-free interest rate stays the same, but that investors’ dislike of risk grows more intense. Given this change, will average expected rates of return rise or fall? Next, compare what will happen to the rates of return on low-risk and high-risk investments. Which will have a larger increase in average expected rates of return, investments with high betas or investments with low betas? And will high-beta or low-beta investments show larger percentage changes in their prices?

Short Answer

Expert verified

Suppose the investor’s dislike of risk grows more intense, the average expected rate of return will increase, provided the risk-free interest rate remains the same.

The rates of return on low-risk will be lower than the rates of return on high-risk. Thus, the high beta investments will have a larger increase in the expected rate of return.

High-beta investments will show a larger increase in their prices.

Step by step solution

01

Step 1. Impact risk aversion on the average expected rate of return

The average expected rate of return is the sum of the risk premium and the risk-free interest rate, which is the compensation for time preference.

As the dislike of risk grows more intense, the rate that compensates for the risk, the risk premium, will increase. Hence, the average expected rate of returns will increase. As the risk premium will be lesser for low-risk, the rate of returns on low risk will be lower.

02

Step 2. Relation between risk measure and expected rate of return

The beta value measures the level of risk. A beta value greater than 1 will show a higher risk, and less than 1 shows less risk. The investments with a higher beta have a higher risk. The higher risk means a higher risk premium and a larger increase in the average expected rate of return as the average rate of return comprises the risk premium.

Thus, investments with higher beta values will have a larger increase in the average expected rate of return and vice versa.

03

Step 3. Impact of risk level in investment on the price of investment

The investment with higher betas will have a larger increase in average expected rates of return than the investment with lower beta. A higher expected rate of return will increase the investment demand. Higher demand will drive the prices up.

Therefore, the investments with a high beta will show a larger change in the prices than the low beta investments.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Asset X is expected to deliver 3 future payments. They have present values of, respectively, \(1,000, \)2,000, and \(7,000. Asset Y is expected to deliver 10 future payments, each having a present value of \)1,000. Which of the following statements correctly describes the relationship between the current price of Asset X and the current price of Asset Y?

  1. Asset X and Asset Y should have the same current price.

  2. Asset X should have a higher current price than Asset Y.

  3. Asset X should have a lower current price than Asset Y.

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.

Corporations often distribute profits to their shareholders in the form of dividends, which are quarterly payments sent to shareholders. Suppose that you have the chance to buy a share in a fashion company called Rogue Designs for \(35 and that the company will pay dividends of \)2 per year on that share. What is the annual percentage rate of return? Next, suppose that you and other investors could get a 12 percent per year rate of return on the stocks of other very similar fashion companies. If investors care only about rates of return, what should happen to the share price of Rogue Designs? (Hint: This is an arbitrage situation.)

Consider an asset that costs \(120 today. You are going to hold it for 1 year and then sell it. Suppose that there is a 25 percent chance that it will be worth \)100 in a year, a 25 percent chance that it will be worth \(115 in a year, and a 50 percent chance that it will be worth \)140 in a year. What is its average expected rate of return? Next, figure out what the investment’s average expected rate of return would be if its current price were $130 today. Does the increase in the current price increase or decrease the asset’s average expected rate of return? At what price would the asset have a zero average expected rate of return?

If we compare the betas of various investment opportunities, why do the assets that have higher betas also have higher average expected rates of return?

See all solutions

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free