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Estimating Risk and Return

Introduction

In this assignment, you will learn how to calculate risk and return, and how to interpret the results. The focus of this assignment is the Capital Asset Pricing Model (CAPM). After completing the assignment, you will be able to apply the CAPM to any stock or portfolio valuation, understand the concept of the beta of a stock, and understand a portfolio.

Instructions

Answer the following questions and complete the following problems, as applicable:

You may solve the following problems algebraically, or you may use a financial calculator or Excel spreadsheet. If you choose to solve the problems algebraically, be sure to show your computations. If you use a financial calculator, show your input values. If you use an Excel spreadsheet, show your input values and formulas.

Note: In addition to your solution to each computational problem, you must show the supporting work leading to your solution to receive credit for your answer.

  1. “Why is expected return considered forward-looking? What are the challenges for practitioners to utilize expected return” (Cornett, Adair, & Nofsinger, 2014, p. 250)?
  2. “Describe how different allocations between the risk-free security and the market portfolio can achieve any level of market risk desired” (Cornett, Adair, & Nofsinger, 2014).
  3. Refer to the table below to complete this question. “Compute the expected return given these three economic states, their likelihoods, and the potential returns” (Cornett, Adair, & Nofsinger, 2014).
  4. “If the risk-free rate is 6 percent and the risk premium is 5 percent, what is the required return” (Cornett, Adair, & Nofsinger, 2014, p. 251)?
  5. “The average annual return on the Standard and Poor’s 500 Index from 1986 to 1995 was 15.8 percent. The average annual T-bill yield during the same period was 5.6 percent. What was the market risk premium during these 10 years” (Cornett, Adair, & Nofsinger, 2014, p. 251)?
  6. “Hastings Entertainment has a beta of 0.24. If the market return is expected to be 11 percent and the risk-free rate is 4 percent, what is Hastings’ required return” (Cornett, Adair, & Nofsinger, 2014, p. 251)?
    • Use the capital asset pricing model to calculate Hastings’ required return.
  7. Calculate the beta of your portfolio, which comprises the following items: (a) Olympic Steel stock, which has a beta of 2.9 and comprises 25 percent of your portfolio, (b) Rent-a-Center stock, which has a beta of 1.5 and comprises 35 percent of your portfolio, and (c) Lincoln Electric stock, which has a beta of 0.2 and comprises 40 percent of your portfolio (Cornett, Adair, & Nofsinger, 2014).
 
Economic State Probability Return
Fast Growth 0.30 40%
Slow Growth 0.50 10%
Recession 0.20 −25%

Submit your completed assignment as an attachment in the assignment area. You may use either a Word document or an Excel spreadsheet for your work, but not both. Prior to submitting your assignment, review the Estimating Risk and Return Scoring Guide to ensure you have met all of the requirements and as a self-assessment of your work.

Reference

Cornett, M. M., Adair, T. A., & Nofsinger J. (2014). M: Finance (2nd ed.). New York, NY: McGraw-Hill.

 

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