Consider the following information relating to the following three assets: Asset C, the 10 year government bond rate (which can be used as a proxy for the risk-free rate of return) and the ASX 200 index (which can be used as a proxy for the market portfolio). Asset C: Standard deviation of returns (p.a.) 0.35, Expected return (p.a.)? 10-year gov't bond: Standard deviation of returns (p.a.) 0, Expected return (p.a.) 0.03 ASX200 Index: Standard deviation of returns (p.a.) 0.15, Expected return (p.a.) 0.10 Correlation between Asset C and the 10-year government bond: 0 Correlation between Asset C and the ASX200 Index: 0.65 Correlation between the ASX200 Index and the 10-year government bond: 0 (a) What is the beta of Asset C? (to 2 decimal places) (b) According to the CAPM what is the expected return of Asset C? (express as a percentage figure to 2 decimal places e.g. 50.04%) (c) According to the CAPM what is the beta and expected return of a portfolio consisting of a 50% investment in Asset C and a 50% investment in a diversified portfolio that replicates the ASX200? (express your answers as in (a) and (b))

Consider the following information relating to the following three assets: Asset C, the 10 year government bond rate (which can be used as a proxy for the risk-free rate of return) and the ASX 200 index (which can be used as a proxy for the market portfolio). Asset C: Standard deviation of returns (p.a.) 0.35, Expected return (p.a.)? 10-year gov't bond: Standard deviation of returns (p.a.) 0, Expected return (p.a.) 0.03 ASX200 Index: Standard deviation of returns (p.a.) 0.15, Expected return (p.a.) 0.10 Correlation between Asset C and the 10-year government bond: 0 Correlation between Asset C and the ASX200 Index: 0.65 Correlation between the ASX200 Index and the 10-year government bond: 0 (a) What is the beta of Asset C? (to 2 decimal places) (b) According to the CAPM what is the expected return of Asset C? (express as a percentage figure to 2 decimal places e.g. 50.04%) (c) According to the CAPM what is the beta and expected return of a portfolio consisting of a 50% investment in Asset C and a 50% investment in a diversified portfolio that replicates the ASX200? (express your answers as in (a) and (b))

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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3b) Please check picture.
3. Calculating interest rates The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 7% per year for each of the next two years and 6% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1(t – 1)%, where t is the security’s maturity. The liquidity premium (LP) on all Smith and Carter Inc.’s bonds is 1.05%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Rating Default Risk Premium U.S. Treasury — AAA 0.60% AA 0.80% A 1.05% BBB 1.45% Smith and Carter Inc. issues 7-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. 11.54% 10.94% 10.49% 5.25% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? In…
The following data are gathered:· The real risk-free rate is 1.05%· Inflation premium is constant at 2.60%· Default risk premium is 3.50%· Maturity risk premium is 2.30%· Liquidity risk premium is 1.50%What is the risk free rate?
b. Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate band. The current real risk-free rate is 5%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.03 (t-1) %. The liquidity premium (LP) for the corporate bond is estimated to be 0.2%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Rate 0.83% 1.03 1.35 1.73 Corporate Bond Yield Spread = DRP + LP U.S. Treasury AAA corporate 0.20% AA corporate 0.52 A corporate 0.90 What yield would you predict for each of these two investments? Round your answers to three decimal places, 12-year Treasury yield: 7-year Corporate yield: % %
Quantitative Problem: An analyst evaluating securities has obtained the following information. The real rate of interest is 2.5% and is expected to remain constant for the next 5 years. Inflation is expected to be 2% next year, 3% the following year, 4% the third year, and 5% every year thereafter. The maturity risk premium is estimated to be 0.1 x (t- 1)%, where t = number of years to maturity. The liquidity premium on relevant 5-year securities is 0.5% and the default risk premium on relevant 5-year securities is 1%. a. What is the yield on a 1-year T-bill? Do not round intermediate calculations. Round your answer to two decimal places. % b. What is the yield on a 5-year T-bond? Do not round intermediate calculations. Round your answer to two decimal places. % c. What is the yield on a 5-year corporate bond? Do not round intermediate calculations. Round your answer to two decimal places. % Icon Key Check My Work (3 remaining)
Currently, 3-year Treasury securities yield8.7%,7-year Treasury securities yield8.4%, and 10 -year Treasury securities yield8.2%. If the expectations theory is correct, what does the market expect will be the yield on 3-year Treasury securities seven years from today? 8.13%8.33%7.73%7.53%7.93%
Consider the following information on different asset classes from 1926 through 2020. Arithmetic Mean 12.2% 16.2 6.5 6.1 5.3 3.3 2.9 Series Large-company stocks Small-company stocks Long-term corporate bonds Long-term government bonds Intermediate-term government bonds U.S. Treasury bills Inflation a. What is the real return on long-term government bonds? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the real return on long-term corporate bonds? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Real return b. Real return % %
Suppose Leonard, Nixon, & Shull Corporation’s projected free cash flow (FCF) for next year is $750,000, and FCF is expected to grow at a constant rate of 4% indefinitely. If the company’s weighted average cost of capital is 10%, what is the value of its operations? a. $18,750,000 b. $12,500,000 c. $7,500,000 d. $13,000,000 e. $10,833,333
9. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?
Kk.205.
Duration and price sensitivity a) Calculate the duration and modified duration of a bond with a face of $1,000, a 6% coupon rate, and a 5% YTM with 1 payment per year and a maturity of 10 years, using the Excel DURATION and MDURATION formulas. b) Calculate the following: 1. What are the approximate percentage and dollar changes in price for a 1% change in interest rates using the duration approximation formula? 2. What are the actual percentage and dollar changes in price if interest rates increase by 1%?
The value of any financial asset is the present ✓ value of the cash flows the asset is expected to produce. For a bond with fixed annual coupons, its value is equal to the present value of all its annual interest payments and its maturity value as shown in the equation below: Bond's value = VB: Int. Int. (1+ra)² (1+ra)² N + ·+...+ Int. M + (1+ra)* (1+ra) Int. M (1+ra) (1+ra)N + We could use the valuation equation shown above to solve for a bond's value; however, it is more efficient to use a financial calculator. Simply enter N as years to maturity, I/YR as the going annual interest rate, PMT as the annual coupon payment (calculated as the annual coupon interest rate times the face value of the bond), and FV as the stated maturity value. Once those inputs are entered in your financial calculator, you can solve for PV, the value of the bond. Remember that the signs for PMT and FV should be the same, so PV will have an opposite sign. Typically, you would enter PMT and FV as positive…

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