Fin 515 Week 3

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Problems: Easy Problems 1-6 • 5-1 Bond Valuation with Annual payments Jackson Corporation’s bonds have 12 years remaining to maturity. Interest is paid annually, the bonds have a $1,000 par value, and the coupon interest rate is 8%. The bonds have a yield to maturity of 9%. What is the current market price of these bonds? 80*7.1607+1000*.3555 = $928 • 5-2 Yield to Maturity for Annual payments Wilson Wonders’s bonds have 12 years remaining to maturity. Interest is paid annually, the bonds have a $1,000 par value, and the coupon interest rate is 10%. The bonds sell at a price of $850. What is their yield to maturity? 100+1000-850/12/1000+850/2 = 112.5/925 = .1216 or 12.16% • 5-6 Maturity Risk Premium The real risk-free rate is 3%, and inflation is expected to be 3% for the next 2 years. A 2-year Treasury security yields 6.3%. What is the maturity risk premium for the 2-year security? 6.3-3-3 = 0.3% Intermediate Problems 7-20 • 5-7 Bond Valuation with Semiannual payments Renfro Rentals has issued bonds that have a 10% coupon rate, payable semiannually. The bonds mature in 8 years, have a face value of $1,000, and a yield to maturity of 8.5%. What is the price of the bonds? 50*11.44+1000*.5138 = 1086 • 5-13 Yield to Maturity and Current Yield You just purchased a bond that matures in 5 years. The bond has a face value of $1,000 and has an 8% annual coupon. The bond has a current yield of 8.21%. What is the bond’s yield to maturity? Current price = 80/.0821 = 974 YTM = 80+1000-974/5/1000+974/2 = 85.2/987 = .0863 or 8.63% (Brigham, Eugene F. . Financial Management: Theory & Practice, 13th Edition. South Western Educational Publishing, 03/2010. pp. 210 - 211). Questions (6-6) If a company’s beta were to double, would its expected return double? It

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