1 Find the Macaulay duration, Macaulay convexity, and (modified) convexity of a 20-year zerocoupon bond assuming that the interest rate is 7% effective.Answer: 20 / 400 / 366.844

Macaulay duration of a Zero coupon bond is always equals to bond's maturity period as it has no…

Answered: Find the Macaulay duration, Macaulay…

EBK CFIN

6th Edition

ISBN:9781337671743

Author:BESLEY

Publisher:BESLEY

Chapter5: The Cost Of Money (interest Rates)

Section: Chapter Questions

Problem 7PROB

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a. Reset the Data Section to its initial values. The price of this bond is 1,407,831. What would it be if there were only 9 or 8 years to maturity? Use the worksheet to compute the bond issue prices and enter them in the spaces provided. Bond issue price (9 years to maturity) __________________ Bond issue price (8 years to maturity) __________________ b. Compare these prices to the bond-carrying values found in the effective interest amortization schedule you originally printed out in requirement 3. Explain the similarity. c. Click the Chart sheet tab. The chart presented shows the price behavior of this bond based on years to maturity. Explain what effect years to maturity has on bond prices. Check your explanation by trying 8% as the effective rate (cell E10) and clicking the Chart sheet tab again. Also try 9%. When the assignment is complete, close the file without saving it again. Worksheet. Modify the BONDS3 worksheet to accommodate bonds with up to 20-year maturity. Use your new model to determine the issue price and amortization schedules of a 2,000,000, 18-year, 10% bond issued to yield 9%. Preview the printout to make sure that the worksheet will print neatly, and then print the worksheet. Save the completed file as BONDST. Hint: Expand both amortization schedules to 20 years. Expand the scratch pad to 20 years. Modify FORMULA1 in cell F17 to include the new ranges. Chart. Using the BONDS3 file, prepare a line chart that plots annual interest expense over the 10-year life of this bond under both the straight-line and effective interest methods. No Chart Data Table is needed. Put A23 to A32 in the Label format and then select A23 to A32, D23 to D32, and B40 to B49 as a collection. Enter all appropriate titles, legends, formats, and so forth. Enter your name somewhere on the chart. Save the file again as BONDS3. Print the chart.
Which of these two bonds offers the highest current yield? Which one has the highest yield to maturity? a. A 6.55 percent, 22-year bond quoted at 52.000 b. A 10.25 percent, 27-year bond quoted at 103.625
Current Yield with Semiannual Payments A bond that matures in 7 years sells for $1,020. The bond has a face value of $1,000 and a yield to maturity of 10.5883%. The bond pays coupons semiannually. What is the bond’s current yield?
Issue Price The following terms relate to independent bond issues: 500 bonds; $1,000 face value; 8% stated rate; 5 years; annual interest payments 500 bonds; $1,000 face value; 8% stated rate; 5 years; semiannual interest payments 800 bonds; $1,000 face value; 8% stated rate; 10 years; semiannual interest payments 2,000 bonds; $500 face value; 12% stated rate; 15 years; semiannual interest payments Required Assuming the market rate of interest is 10%, calculate the selling price for each bond issue.
What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)

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Find the Macaulay duration, Macaulay convexity, and (modified) convexity of a 20-year zero coupon bond assuming that the interest rate is 7% effective.