Problem • • Suppose the following zero-coupon bonds are trading at the prices shown below per $100 face value. Determine the corresponding yield to maturity (rate of return) for each bond. Maturity 1 year Price $96.62 $92.45 2 years 3 years $87.63 4 years $83.06
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- Data table ↑ The current zero-coupon yield curve for risk-free bonds is as follows: What is the price per $100face value of a two-year, zero-coupon, risk-free bond? The price per $100 face value of the two-year, zero-coupon, risk-free bond is $ (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) YTM 1 4.98% 2 5.48% 3 5.78% Print Done 4 5 5.96% 6.09% (Round to the nearest cent.) - XK 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 {Question 1. Duration and Banking Consider a 5-year bond with annual coupon payments. The bond has a face value (prin- cipal) of $100 and sells for $95. Its coupon rate is 3%. (The coupon rate is the ratio between the coupon value and the face value). The face value is paid at the maturity year in addition to the last coupon payment. 1. Calculate the bond's yield to maturity (YTM) and duration using its YTM. 2. Suppose the bond's YTM changes in the same way as a 5-year T-bill interest rate. Use the bond's modified duration to evaluate the relative change in the 5-year bond's value if the interest rate on 5-year T-bills falls by one basis point, that is, by 0.0001. This part was extracted from the balance sheet of the First Bank of Australia: Assets (Billion AUD) Bond 80 Liabilities (Billion AUD) Fixed-rate liabilities 60 where "Bond" here refers to the bond we specified above and the fixed-rate liabilities (banks future payment obligations) have an average duration of 4 years and YTM of…
- 6. Yield to Maturity Each of the bonds shown below pays interest annually. Bond Par Value Coupon Years to Maturity Current Value A 12% 15 B 10% 10 C $1000 13% 10 D $1000 8% 4 a) Calculate the yield to maturity (YTM) for each bond. $1000 $500 $850 $560 $1200 $900 b) What relationship exists between the coupon rate and yield to maturity and the par value and market value of a bond? Explain.There are two zero-coupon bonds below: Coupon Term to rate maturity 0% 1 year 10% 2 years Bond A B FV $100 $100 Price $95.24 $107.42 Consider a 2-year coupon bond C with FV = $100, coupon rate=25%, and price = $ 138. Is Bond C underpriced/overpriced relative to Bonds A and B? What is the potential arbitrage trading strategy? O a. Overpriced; Long 3/22 unit of A; Long 25/22 unit of B; Short 1 unit of C O b. Underpriced; Long 3/22 unit of A; Long 25/22 unit of B; Short 1 unit of C O c. Overpriced; Long 3 unit of A; Long 25 unit of B; Short 1 unit of C O d. Underpriced; Long 3 unit of A; Long 25 unit of B; Short 1 unit of CO ook int ences You find the following Treasury bond quotes. To calculate the number of years until maturity, assu of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.052 6.143 Maturity Month/Year May 33 May 36 May 42 Yield to maturity Asked Bid 103.4560 103.5288 104.4900 104.6357 ?? Change Ask Yield +.3248 5.00 % +.4245 +.5353 In the above table, find the Treasury bond that matures in May 2036. What is your yield to matur Note: Do not round intermediate calculations and enter your answer as a percent rounded to 5.919 ?? 3.951
- Need help with C Approximate yield to maturity An investor must choose between two bonds: Bond A pays $90 annual interest and has a market value of $815. It has 15 years to maturity. Bond B pays $81 annual interest and has a market value of $700. It has eight years to maturity. Assume the par value of the bonds is $1,000. a. Compute the current yield on both bonds. (Do not round intermediate calculations. Input your answers as a percent rounded to 2 decimal places.) Current Yield Bond A11.04% Bond B11.57% c. A drawback of current yield is that it does not consider the total life of the bond. For example, the approximate yield to maturity on Bond A is 11.51 percent. What is the approximate yield to maturity on Bond B? The exact yield to maturity? (Use the approximation formula to compute the approximate yield to maturity and use the calculator method to compute the exact yield to maturity. Do not round intermediate calculations. Input your answers as a percent rounded to 2…Bond XYN = Z Assume the following sequence of spot rates. PMT T Coupon Rate 8% 7% 6% Time-to-Maturity 1 year 2 years 3 years All three bonds pay interest annually, and all bonds have face value of $100. Time-to-Maturity 3 years 3 years 3 years 8. Based upon the given sequence of spot rates, find the price of Bond X. 9. Based upon the given sequence of spot rates, find the price of Bond Y. 10. Based upon the given sequence of spot rates, find the yield-to-maturity (YTM) of Bond Z. Hint: After you calculate the price using spot rates, you can calculate the YTM using the That is, you can use you calculator to find the FV formula PV (1= (1+T)N) + overall YTM. Spot Rates 8% 9% 10% (1+r) N°Data table 不 The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of face value): a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward sloping, downward sloping, or flat? a. Compute the yield to maturity for each bond. The yield on the 1-year bond is ☐ %. (Round to two decimal places.) (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Price (per $100 face value) 1 $95.42 2 3 4 5 $90.99 $86.47 $81.58 $76.46 Print Done
- Maturity (years) Price O 1.44% 2.88% O 0.08% 1 O 5.76% 2 $94.53 3 $91.83 4 $97.25 $89.23 The above table shows the price per $100 face value of several risk-free, zero- coupon bonds. What is the yield to maturity of the three-year, zero-coupon, risk-free bond shown? LO 5 $87.531. Answer the below questions for bond A. Bond A Coupon 8% Yield to maturity 10% Maturity (years) 10 Par $100.000 Price $87.5378 (a) Calculate the actual price of the bond for a 100-basis-point increase in interest rates. (b) Using duration, estimate the price of the bond for a 100-basis-point increase in interest rates. (c) Using both duration and convexity measures, estimate the price of the bond for a 100-basis-point increase in interest rates. (d) Without working through calculations, indicate whether the duration of bond A would be higher or lower if the yield to maturity is 12% rather than 10%.Find the Yield to Maturity for Zero-Coupon Bonds for the following 1 year Maturity, Price $96.62 2 years Maturity, Price $92.45 3 years Maturity, Price $87.63 4 years Maturity, Price $83.06