Bond A Bond B Years to maturity 5 years 10 years Coupon rate 5% 5% Par value 1000 1000 Yield to maturity 8% 6% Par amount owned R3,45 million R2 million Market value R30 367.59 (in 000’s) R18 528 (in 000’s) How do you work out the duration using Macauly's duration.
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|
|
Bond A |
Bond B |
|
Years to maturity |
5 years |
10 years |
|
Coupon rate |
5% |
5% |
|
Par value |
1000 |
1000 |
|
Yield to maturity |
8% |
6% |
|
Par amount owned |
R3,45 million |
R2 million |
|
Market value |
R30 367.59 (in 000’s) |
R18 528 (in 000’s) |
How do you work out the duration using Macauly's duration.
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- 2 3 Į Using Excel functions to compute duration Bond duration Settlement date Maturity date Coupon rate (decimal) YTM Coupons per year Macaulay duration Modified duration 7/20/2020 7/20/2023 8.00% 10.00% 1 % =DURATION =MDURATIONK Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {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.
- What is assumed the be the face value aka par value aka principal aka loan amount of a bond? It's also assumed to be a bond's FV. 10% $0 $100 $1,000Consider the following two Treasury securities: Bond Price Modified duration (years) A $100 6 B $80 7 For a 25 basis-point change in interest rates, what is the percentage change in price for Bond A? A. -2.00% B. -1.50% C. 3.00% D. 3.50%Q.8 Maharshi is attempting to find the nominal rate of interest for each of two securities A and B issued by different firms at the same point in time. He has gathered the following data: Characteristics Secuity A 3 Years Security B 15 Years Time to Maturity Inflation expectation premium 9% 7% Risk Premium For: Liquidity Risk Default Risk 1% 1% 1% 2% Maturity Risk Other Risk 0.50% 1.50% 0.50% 1.50% a. If the real rate of interest is 2%, find the risk free rate of interest applicable to each security. b. Find the total risk premium attributable to each securitys. c. Calculate the nominal rate of interest for each security?
- II. Complete the table by finding the maturity value. Time (t) Maturity Value (A) Principal (P) Interest Rate (r) 6% 9 mo. P35,600 10% 15 mo. P140,250 P75,800 8 %% 2 yr. P340,200 11% 6 yr. P1,400,500 9% 10 yr.Consider the following figure which shows the relationship between a three-year bond's price (vertical axis) and the passage of time (measured in years - horizontal axis). $106.000 $104.000 $102.000 $100.000 $98.000 $96.000 $94.000 594.846 0.00 S96.688 598.567 0.50 Bond Price as Time Passes $100.4 1 $102.433 $96.433 1.00 $98.307 $100.217 1.50 $102.13 58148 2.00 Which of the following statements are consistent with the figure above? $104.148 $100.055 $106.000 $101.99 250 $103.980 This pattern of prices is consistent with a bond whose yield to maturity is below the band's coupon rate. This bond pays a coupon of $8. This bond pays coupons on an annual basis. None of the other statements are correct. 100K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): Period 0 2 Cash Flows $19.12 $19.12 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) 39 $19.12
- B. Complete the information below using Bonds. Redemption Value (F) Conversion per year (m) Bimonthly Coupon Payments (k) Bond Rate (r) 11. 18% P7.50 P680 Quarterly 11% 12. P900 Quarterly 12.8% 13. P1,300 Bimonthly 12% 14. 15. Annually 15% P105.00What is the Holding period return____% Purchase price of the bond (pv) $910 Sale price of the bond after 2 years (fv) $966.98 Number of coupon payments received (nper) 2 Coupon payment (pmt) $82.00Consider the following two Treasury securities: Bond Price Modified duration (years) A $100 6 B $80 7 For a 25 basis-point change in interest rates, which bond has the greatest percentage change in price? A. Bond A B. Bond B C. Can't be determined