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Question 5: (15 points). (Bond valuation relationships) Arizona Public Utilities issued a bond that pays $70...

Question 5: (15 points). (Bond valuation relationships) Arizona Public Utilities issued a bond that pays $70 in interest, with a $1,000 par value and matures in 25 years. The markers required yield to maturity on a comparable-risk bond is 8 percent. (Round to the nearest cent.) For questions with two answer options (e.g. increase/decrease) choose the best answer and write it in the answer block. a. What is the value of the bond if the markers required yield to maturity on a comparable-risk bond is 8 percent? b. What is the value of the bond if the markers required yield to maturity on a comparable-risk bond increases to 11 percent? c. What is the value of the bond if the market's required yield to maturity on a comparable-risk bond decreases to 7 percent? d. The change in the value of a bond caused by changing interest rates is called interest-rate risk. Based on the answer: in parts b and c, a decrease in interest rates (the yield to maturity) will cause the value of a bond to (increase/decrease): By contrast, an increase in interest rates will cause the value to (increase/decrease): Also, based on the answers in part b, if the yield to maturity (current interest rate) equals the coupon interest rate, the bond will sell at (par/face value): exceeds the bond's coupon rate, the bond will sell at a (discount/premium): and is less than the bond's coupon rate, the bond will sell at a (discount/premium): e. Assume the bond matures in 5 years instead of 25 years, what is the value of the bond if the yield to maturity on a comparable-risk bond is 8 percent? $ 960.07 Assume the bond matures in 5 years instead of 25 years, what is the value of the bond if the yield to maturity on a comparable-risk bond is 11 percent? f. Assume the bond matures in 5 years instead of 25 years, what is the value of the bond if the yield to maturity on a comparable-risk bond is 7 percent? g. From the findings in part e, we can conclude that a bondholder owning a long-term bond is exposed to (more/less) interest-rate risk than one owning a short-term bond.

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here , the value of the bond is found using the PV function in Excel.

1 interest 2 par value 3 time to maturity 70 1000 25 0.08 e)&f required yield time to maturity value of bond 0.08 0.11 0.07 required yield 960.07 852.16 1000.00 7 value of bond 8 b) 9 required yield 10 value of bond 893.25 0.11 663.13 we can conclude that a bondholder owning a long-term bond is exposed to more interest rate risk than one owning a short-term bond 12 required yield 13 value of bond 14 d 15 since there is an inverse relationship between bond value and interest rate 16 an increase in interest rates will cause the value to decrease 17 By contrast, an increase in interest rates will cause the value to increase 18 Also based on the answers in part b, if yield tomaturity equals the coupon interest rate, the bond 19 will sell at par value, exceeds the bonds coupon rate, the bond will sell at a discount, and is less 20 21 0.07 1000.00 than the bond;s coupon rate, the bond will sell at a premium

C D E F 1 interest 2 par value 3 time to maturity 70 1000 25 0.08 ej& f) required yield 0.08 time to maturity value of bond PV(K2,SK$3,B$1,B$2) PV(L2,SK$3,SB$1,SB$2) PV(M2,SK$3,SB$1,SB$2) 0.11 0.07 required yield PV(B4,$8$3,SB$1,S8$2) 7 value of bond 8 b) 9 required yield 10 value of bond 0.11 PV(B9,$B$3,SB$1,SB$2) we can conclude that a bondholder owning a long-term bond is exposed to more interest rate risk 12 required yield 13 value of bond 14 d) 15 since there is an inverse relationsh 16 an increase in interest rates will ca 17 By contrast, an increase in interest 18 Also based on the answers in part b, if yield tomaturity equals the coupon interest rate, the bond will sell 19 at par value, exceeds the bonds coupon rate, the bond will sell at a discount, and is less than the bond;s 20 0.07 PV(B12,SB$3,$B$1,SB$2) coupon rate, the bond will sell at a premium

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