Question
Clifford Clark is a recent retiree who is interested in investing some of his savings in corporate bonds. His financial planner has suggested the following
Clifford Clark is a recent retiree who is interested in investing some of his savings in corporate bonds. His financial planner has suggested the following bonds:
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Bond A has a 9% annual coupon, matures in 12 years, and has a $1,000 face value.
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Bond B has an 8% annual coupon, matures in 12 years, and has a $1,000 face value.
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Bond C has a 7% annual coupon, matures in 12 years, and has a $1,000 face value.
Each bond has a yield to maturity of 8%.
The data has been collected in the Microsoft Excel file below. Download the spreadsheet and perform the required analysis to answer the questions below. Do not round intermediate calculations. Use a minus sign to enter negative values, if any. If an answer is zero, enter "0".
Download spreadsheet Bond Valuation-c2889b.xlsx
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Before calculating the prices of the bonds, indicate whether each bond is trading at a premium, at a discount, or at par.
Bond A is selling ata premiuma discountpar
because its coupon rate isless thangreater thanequal to
the going interest rate.Bond B is selling ata premiuma discountpar
because its coupon rate isless thangreater thanequal to
the going interest rate.Bond C is selling ata premiuma discountpar
because its coupon rate isless thangreater thanequal to
the going interest rate. -
Calculate the price of each of the three bonds. Round your answers to the nearest cent.
Price (Bond A): $ fill in the blank 8
Price (Bond B): $ fill in the blank 9
Price (Bond C): $ fill in the blank 10
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Calculate the current yield for each of the three bonds. (Hint: The expected current yield is calculated as the annual interest divided by the price of the bond.) Round your answers to two decimal places.
Current yield (Bond A): fill in the blank 11 %
Current yield (Bond B): fill in the blank 12 %
Current yield (Bond C): fill in the blank 13 %
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If the yield to maturity for each bond remains at 8%, what will be the price of each bond 1 year from now? Round your answers to the nearest cent.
Price (Bond A): $ fill in the blank 14
Price (Bond B): $ fill in the blank 15
Price (Bond C): $ fill in the blank 16
What is the expected capital gains yield for each bond? What is the expected total return for each bond? Round your answers to two decimal places.
Bond A Bond B Bond C Expected capital gains yield fill in the blank 17 % fill in the blank 18 % fill in the blank 19 % Expected total return fill in the blank 20 % fill in the blank 21 % fill in the blank 22 % -
Mr. Clark is considering another bond, Bond D. It has a 6% semiannual coupon and a $1,000 face value (i.e., it pays a $30 coupon every 6 months). Bond D is scheduled to mature in 9 years and has a price of $1,100. It is also callable in 5 years at a call price of $1,030.
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What is the bond's nominal yield to maturity? Round your answer to two decimal places.
fill in the blank 23 %
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What is the bond's nominal yield to call? Round your answer to two decimal places.
fill in the blank 24 %
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If Mr. Clark were to purchase this bond, would he be more likely to receive the yield to maturity or yield to call? Explain your answer.
Because the YTM isless thangreater thanequal to
the YTC, Mr. Clarkshouldshould not
expect the bond to be called. Consequently, he would earnYTCYTM
.
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Explain briefly the difference between price risk and reinvestment risk.
This risk of a decline in bond values due to an increase in interest rates is calledprice riskreinvestment risk
. The risk of an income decline due to a drop in interest rates is calledprice riskreinvestment risk
.Which of the following bonds has the most price risk? Which has the most reinvestment risk?
- A 1-year bond with an 8% annual coupon
- A 5-year bond with an 8% annual coupon
- A 5-year bond with a zero coupon
- A 10-year bond with an 8% annual coupon
- A 10-year bond with a zero coupon
1-year bond with an 8% annual coupon5-year bond with an 8% annual coupon5-year bond with a zero coupon10-year bond with an 8% annual coupon10-year bond with a zero coupon
has the most price risk.A1-year bond with an 8% annual coupon5-year bond with an 8% annual coupon5-year bond with a zero coupon10-year bond with an 8% annual coupon10-year bond with a zero coupon
has the most reinvestment risk. -
Calculate the price of each bond (A, B, and C) at the end of each year until maturity, assuming interest rates remain constant. Round your answers to the nearest cent.
Years Remaining Until Maturity Bond A Bond B Bond C 12 $ fill in the blank 32 $ fill in the blank 33 $ fill in the blank 34 11 $ fill in the blank 35 $ fill in the blank 36 $ fill in the blank 37 10 $ fill in the blank 38 $ fill in the blank 39 $ fill in the blank 40 9 $ fill in the blank 41 $ fill in the blank 42 $ fill in the blank 43 8 $ fill in the blank 44 $ fill in the blank 45 $ fill in the blank 46 7 $ fill in the blank 47 $ fill in the blank 48 $ fill in the blank 49 6 $ fill in the blank 50 $ fill in the blank 51 $ fill in the blank 52 5 $ fill in the blank 53 $ fill in the blank 54 $ fill in the blank 55 4 $ fill in the blank 56 $ fill in the blank 57 $ fill in the blank 58 3 $ fill in the blank 59 $ fill in the blank 60 $ fill in the blank 61 2 $ fill in the blank 62 $ fill in the blank 63 $ fill in the blank 64 1 $ fill in the blank 65 $ fill in the blank 66 $ fill in the blank 67 0 $ fill in the blank 68 $ fill in the blank 69 $ fill in the blank 70
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