Question 251 pts According to the arbitrage principle on bonds, the price of a 10-year discount bond this year will be equal to: Group of answer choices The present value of a 9-year bond next year The present value of the face-value payment collected in 10 years All of these options The present value of a 1-year bond in nine years The present value of 5-year bond in five years
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![Question 251 pts
According to the arbitrage principle on bonds,
the price of a 10-year discount bond this year
will be equal to:
Group of answer choices
The present value of a 9-year bond next year
The present value of the face-value payment
collected in 10 years
All of these options
The present value of a 1-year bond in nine
years
The present value of 5-year bond in five years](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a83b43b-18b3-48a8-b234-7cad8bfbf6c5%2F7cbcfa38-d3b7-43ab-be7b-989d4b66a1f6%2Fyq5h6tg_processed.jpeg&w=3840&q=75)
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- Question 11 Craft & Creams plans to issue bonds with a par value of R1 000 and eight years to maturity. These bonds will pay R40 interest every six months. Current market conditions are such that the bonds will be sold to net R937,79. What is the yield to maturity (YTM) of the issue as a broker would quote it to an investor? 1. 2,48% 2. 4,56% 3. 7,24% 4. 9,11%Question 2 Two bonds are available for purchase in the financial markets. The first bond is a two-year, 50,000 AUD bond that pays an annual coupon of 6 per cent. The second bond is a two- year, 10,000 AUD, zero-coupon bond. (a) What is the duration of the coupon bond if the current yield-to-maturity (R) is 6 per cent? And 8 per cent? How does the change in the current yield to maturity affect the duration of this coupon bond? (b) Calculate the duration of the zero-coupon bond with a yield to maturity of 5 per cent, and 8 per cent.Question 8 Maturity (years) 1 1-year Forward rate (%) 0-years from now 1.25 1-year from now 1.75 2-years from now 1.908 2 3 Using the same information above, what is the price of the bond if it is callable at Par one year and two years from now at zero volatility? Spot rate (%) 1.25 1.5019 1.70491 Cash flow $3 $3 $103
- Question 6 Assume that a bond makes 10 equal annual payments of \$1,000$1,000 starting one year from today. The bond will make an additional payment of \$100,000$100,000 at the end of the last year, year 10. (This security is sometimes referred to as a coupon bond.) If the discount rate is 3.5\%3.5% per annum, what is the current price of the bond?Q2 A bond has a maturity value draw of 1.125 % from present worth and is paying discrete compound interest at an effective annual rate of 3 percent. Determine the following at a time four years before the bond reaches maturity value compounded continuously , if that discount equal $ 112. (a) Present and future worth. (b) Discrete compound rate of effective interest which will be received by a purchaser if the bond were obtained for $700. (c) Repeat part (a) for the case where the nominal bond interest is 3 percent compounded continuously 03Financial Planning Exercise 6Calculating and interpreting current yield and yield to maturity Find the current yield of a 10%, 25-year bond that's currently priced in the market at $1,250. Now, use a financial calculator to find the yield to maturity on this bond (use annual compounding). What's the current yield and yield to maturity on this bond if it trades at $1,000? If it's priced at $750? The par value of the bond is $1,000. Round your answers to two decimal places. Do not round intermediate calculations. Quote Current Yield Yield to Maturity 10%, 25 yr., $1,250 % % 10%, 25 yr., $1,000 % % 10%, 25 yr., $750 % %
- Problem 15-8 a. Assuming that the expectations hypothesis is valid, compute the price of the four-year bond shown below at the end of (i) the first year; (ii) the second year, (iii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Beginning of Year Price of Bond Expected Price 1 983.40 918.47 $ 867.62 4 774.16 b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Beginning Expected Rate of Return % of Year 1 % % 4 % 3.Question 20 What is the duration of this bond? From Prior: Calculate the price of a $1,000, 6% bond with four years to maturity with 7.5% market interest rates. Assume annual coupon payments.Question 6 Find the prices of the following bonds, all redeemable at par. (a) A 10-year 100, 5.0% bond yielding 7.2% (b) A 10-year 100, 5.5% bond yielding 7.7% (c) A 12-year 100, 5.0% bond yielding 7.2% (d) A 12-year 100, 5.5% bond yielding 7.7%
- Question 4 The following is a list of prices today for bonds with different maturities. Face value is 100. Assume that the bonds pay their coupons annually, and that the YTMs in the table are annualized and compounded annually. Both coupon rate and yield to maturity (YTM) is in percent. Maturity (years) Price Coupon rate YTM 1 98.00 0 ?2 100 ? 5.00 3?9 6.00 Fill in the missing values in the table.What are the annualized spot rates for years 1 & 2 (r1 & r2)? Given r1 & r2, what is the price of a 2-year coupon bond with annual coupon rate of 7%? What is the duration of this bond?Ins 8. Suppose that today's interest rate on 1-year bonds is 4% (i10 year bonds next year, in two years, and in three years are expected to be 5%, 6%, and 7%, respectively. 0.04). Interest rates on 1- ha a. According to the Expectations Theory of Term Structure, what are the equilibrium interest rates today for otherwise comparable 2-year, 3-year, and 4-year bonds? b. Draw the yield curve for that case. orQuestion 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…
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