A 20-year, 8% semiannual coupon bond with a par value of $1,000 may be called in 5 years at a call price of $1,040. The bond sells for $1,100. (Assume that the bond has just been issued.) |
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Basic Input Data: | | | | | | | |
Years to maturity: | 20 | | | | | | |
Periods per year: | 2 | | | | | | |
Periods to maturity: | 40 | | | | | | |
Coupon rate: | 8% | | | | | | |
Par value: | | $1,000 | | | | | | |
Periodic payment: | $40.00 | | | | | | |
Current price | $1,100 | | | | | | |
Call price: | | $1,040 | | | | | | |
Years till callable: | 5 | | | | | | |
Periods till callable: | 10 | | | | | | |
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a. What is the bond's yield to maturity? | | | | | |
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| | Peridodic YTM = | 3.53% | | | | | |
| | Annualized Nominal YTM = | 7.06% | | | | | |
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b. What is the bond's current yield? | | | | | | |
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| Current yield = | Ann. Coupon / | | Price | | | | |
| Current yield = | | / | | | | | |
| Current yield = | | | | | | | |
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c. What is the bond's capital gain or loss yield? | | | | | |
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| Cap. Gain/loss yield = | YTM | - | Current yield | | | | |
| Cap. Gain/loss yield = | | - | | | | | |
| Cap. Gain/loss yield = | | | | | | | |
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d. What is the bond's yield to call? | | | | | | |
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Here we can again use the Rate function, but with data related to the call. | | | | |
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| | Peridodic YTC = | | | | | | |
| | Annualized Nominal YTC = | | | | | | |
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e. How would the price of the bond be affected by changing the going market interest rate? (Hint: Conduct a sensitivity analysis of price to changes in the going market interest rate for the bond. Assume that the bond will be called if and only if the going rate of interest falls below the coupon rate. That is an oversimplification, but assume it anyway for purposes of this problem.) |
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Nominal market rate, r: | | 8% | | | | | |
Value of bond if it's not called: | | | | | | |
Value of bond if it's called: | | | | | | |
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f. Now assume the date is 10/25/2018. Assume further that a 12%, 10-year bond was issued on 7/1/2028, pays interest semiannually (January 1 and July 1), and sells for $1,100. Use your spreadsheet to find the bonds yield. |
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| | | Basic info: | | | | | |
Settlement (today) | | | | | | | |
Maturity | | | | | | | | |
Coupon rate | | | | | | | |
Current price (% of par) | | | | | | | |
Redemption (% of par value) | | | | | | |
Frequency (for semiannual) | | | | | | |
Basis (360 or 365 day year) | | | | | | |
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Yield to Maturity: | | | | | |