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

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?

Suppose that you invest $100 today in a risk-free investment and let the 4 percent annual interest rate compound. Rounded to full dollars, what will be the value of your investment 4 years from now?

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?

Suppose that an SML indicates that assets with a beta = 1.15 should have an average expected rate of return of 12 percent per year. If a particular stock with a beta = 1.15 currently has an average expected rate of return of 15 percent, what should we expect to happen to its price?

  1. Rise.

  2. Fall.

  3. Stay the same.

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.)

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