Calculating Risks and Returns

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  • Overview

    Complete a series of 10 problems in which you calculate risks and returns for hypothetical companies.Note: The assessments in this course build upon each other, so you are strongly encouraged to complete them in sequence.SHOW LESSIn this assessment, you will continue to examine the concept of risk in relation to return. You will utilize statistical techniques of the capital asset pricing model (CAPM) to compare market equilibrium to risk and return. The CAPM is used in portfolio analysis.You will consider the concept of beta in the CAPM, which is used to relate the risk of a security to overall market risk. In addition, you will demonstrate how efficient the market is in processing information concerning organizational risk and return and market risk and return.By successfully completing this assessment, you will demonstrate your proficiency in the following course competencies and assessment objectives:

    • Competency 1: Apply the theories, models, and practices of finance to the financial management of the firm.
      • Calculate accurately the percentage total return, total dollar return, nominal rate of return, and the holding period return.
      • Calculate accurately the effective annual rate (EAR), portfolio weights, and expected return on a portfolio.
      • Calculate accurately the cost of equity and the weighted average cost of capital (WACC).
    Competency Map

    CHECK YOUR PROGRESSUse this online tool to track your performance and progress through your course.

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    Questions to Consider

    To deepen your understanding, you are encouraged to consider the questions below and discuss them with a fellow learner, a work associate, an interested friend, or a member of the business community.

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    Resources

    Suggested Resources

    The resources provided here are optional. You may use other resources of your choice to prepare for this assessment; however, you will need to ensure that they are appropriate, credible, and valid. They provide helpful information about the topics in this unit. The MBA-FP6016 – Finance and Value Creation Library Guide can help direct your research. The Supplemental Resources and Research Resources, both linked from the left navigation menu in your courseroom, provide additional resources to help support you.The following resources will provide assistance to complete the assessment.

    The following texts are designed to assist learners to master core concepts, solve financial problems, and analyze results

    • Boundless. (n.d.). Boundless finance. Retrieved from https://www.boundless.com/finance/textbooks/boundl…
      • Chapter 6, “Bond Valuation,” focusing on Section 8, which covers valuing bonds.
      • Chapter 7, “Stock Valuation,” focusing on Section 5.
      • Chapter 8, “Introduction to Risk and Return.” Sections 1, 2, and 5 are particularly relevant to this assessment.
      • Chapter 10, “Introduction to the Cost of Capital.”

  • Assessment Instructions

    Demonstrate your understanding of financial concepts by completing the following problems. Where appropriate, show or explain your work. You may use Excel to work on the problems.Problem 1. Calculating returns: A stock with an initial price of $55 per share paid a dividend of $1.75 per share throughout the year, with an ending price of $59. Calculate the percentage total return of the stock.Problem 2. Calculating returns: One year ago, you bought an 8.75 percent coupon bond for $1,065. Today the bond sells for $990.

    1. Calculate the total real rate of return on the investment with a $1,000 face value.
    2. Calculate your total nominal rate of return on the investment this past year.

    Problem 3. Holding period return: A stock has had returns of −19.52 percent, 17.82 percent, −11.93 percent, 21.35 percent, and 6.43 percent over the past five years, respectively. Calculate the holding period return for the stock.Problem 4. Calculating returns: Last year you bought a share of 7.25 percent preferred stock for $63.75. Your stock’s market price is now $66.92. Calculate your total return for last year.Problem 5. Calculating returns: You bought a stock three months ago for $24.87 per share. The stock pays no dividends and is currently priced at $26.35. Calculate the APR of your investment. What is the effective annual rate (EAR)?Problem 6. Determining portfolio weights: A portfolio contains 65 shares of Stock A selling for $32 per share and 175 shares of Stock B selling for $26 per share. Calculate the portfolio weight for each stock.Problem 7. Portfolio expected return: You own a portfolio that has $4,600 invested in Stock Y and $5,200 invested in Stock Z. What is the expected return on the portfolio if the expected returns on these stocks are 9.75 percent and 16.50 percent?Problem 8. Using the capital asset pricing model (CAPM): A stock has a beta of 1.65, and the projected return on the market is 12.25 percent, with a risk-free rate of 4.75 percent. Calculate the projected return on this stock.Problem 9. Calculating cost of equity: The Denton Corporation’s common stock has a beta of 1.45 and a risk-free rate of 5.75 percent. What is Denton’s cost of equity if the projected return on the market is 13 percent?Problem 10. Calculating the weighted average cost of capital (WACC): If Metro Company has the following features, what is its WACC?

    • A target capital structure of 65 percent common stock.
    • A target of 35 percent debt.
    • Cost of equity is 14 percent.
    • Cost of debt is 6 percent.
    • The tax rate is 35 percent.

    SCORING GUIDE/ RUBICS

  • Calculating Risks and Returns Scoring Guide

    CRITERIA NON-PERFORMANCE BASIC PROFICIENT DISTINGUISHED
    Calculate accurately the percentage total return, total dollar return, nominal rate of return, and the holding period return. Does not calculate the percentage total return, total dollar return, nominal rate of return, and the holding period return. Calculates the percentage total return, total dollar return, nominal rate of return, and the holding period return; however, there are errors with some or all of the calculations. Calculates accurately the percentage total return, total dollar return, nominal rate of return, and the holding period return. Calculates accurately the percentage total return, total dollar return, nominal rate of return, and the holding period return; uses appropriate methods to arrive at accurate calculations for all items.
    Calculate accurately the effective annual rate (EAR), portfolio weights, and expected return on a portfolio. Does not calculate the effective annual rate (EAR), portfolio weights, and expected return on a portfolio. Calculates the effective annual rate (EAR), portfolio weights, and expected return on a portfolio; however, there are errors with some or all of the calculations. Calculates accurately the effective annual rate (EAR), portfolio weights, and expected return on a portfolio. Calculates accurately the effective annual rate (EAR), portfolio weights, and expected return on a portfolio; uses appropriate methods to arrive at accurate calculations for all items.
    Calculate accurately the cost of equity and the weighted average cost of capital (WACC). Does not calculate the cost of equity and the weighted average cost of capital (WACC). Calculates the cost of equity and the weighted average cost of capital (WACC); however, there are errors in the calculations. Calculates accurately the cost of equity and the weighted average cost of capital (WACC). Calculates accurately the cost of equity and the weighted average cost of capital (WACC); uses appropriate methods to arrive at accurate calculations for all items.
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