Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Use the following scenario analysis for stocks X and Y to answer CFA Questions

Question: Assume that of your \(10,000 portfolio, you invest \)9,000 in stock X and $1,000 in stock Y. What is the expected return on your portfolio?

Short Answer

Expert verified

The correct answer is: 9%

Step by step solution

01

Given information

Probability (scenario- Bear Market) = 0.2

Probability (scenario-Normal Market) = 0.5 and

Probability (scenario- Bull Market) = 0.3

Return for Stock X (all 3 scenarios) = --20%, 18% and 50%

Return for Stock Y (all 3 scenarios) = --15%, 20% and 10%

Investment in Stock X = $9000

Investment in Stock Y = $1000

02

Calculation of expected return on portfolio

Expected return =[Probability (Scenario) x Return in Scenario]

Hence,

E(r) = (0.9 x 20%) + (0.1 x 10%) = 19%

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

Which of the following most appears to contradict the proposition that the stock market is weakly efficient? Explain.

a. Over 25% of mutual funds outperform the market on average.

b. Insiders earn abnormal trading profits.

c. Every January, the stock market earns abnormal returns.

We know that the market should respond positively to good news and that good-news events such as the coming end of a recession can be predicted with at least some accuracy. Why, then, can we not predict that the market will go up as the economy recovers?

Two investment advisers are comparing performance. One averaged a 19% return and the other a 16% return. However, the beta of the first adviser was 1.5, while that of the second was 1.

a. Can you tell which adviser was a better selector of individual stocks (aside from the issue of general movements in the market)?

b. If the T-bill rate were 6% and the market return during the period were 14%, which adviser would be the superior stock selector?

c. What if the T-bill rate were 3% and the market return 15%?

Question: The stock of Business Adventures sells for $40 a share. Its likely dividend payout and end-of-year price depend on the state of the economy by the end of the year as follows:

a. Calculate the expected holding-period return and standard deviation of the holding period return. All three scenarios are equally likely.

b. Calculate the expected return and standard deviation of a portfolio invested half in Business Adventures and half in Treasury bills. The return on bills is 4%.

The security market line depicts:

a. A security’s expected return as a function of its systematic risk.

b. The market portfolio as the optimal portfolio of risky securities.

c. The relationship between a security’s return and the return on an index.

d. The complete portfolio as a combination of the market portfolio and the risk-free asset.

See all solutions

Recommended explanations on Business Studies Textbooks

View all explanations

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