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- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %
- Suppose that a 2-year zero-coupon bond with face value $1,000 currently sells at $840, while a 1-year zero-coupon bond with face value $1,000 currently sells at $920. You are considering the purchase of a 2-year coupon bond that pays coupon annually. The face value of this coupon bond is $1,000 and coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero-coupon bonds? b. What is the current price of the 2-year coupon bond? c. What is the forward rate of the second year? d. If the expectation hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?bond valuation An investor has two nonds in her portfolio, bond C and bond Z. each bond maturres in 4 years has a face value of 1000, and has a yield to maturity of 9.6% bond C pays a 10% annual coupon, while bond Z is a zeo coupon bond . b- assuming that the yield to maturity of each bond remains at9.6% over the next 4 years, calculate the price of the bonds at each of the following years to maturity year 4,3,2,1,0 b- plot the time path of price for each bond4. Looking forward - Future value Compounding Interest You know that paying yourself by depositing money in a savings account is a prudent start to your retirement plan. You determined that, based on your other obligations, you can save 7,375.00 per year via an annual, single year-end deposit. You are 40 years old now, so your money will grow for the next 25 years until you turn 65. You will open a savings account at the US Bank branch near your home. Its savings accounts are paying 6% interest. The following table shows the future value factors for various periods and interest rates: Future Value of an Annuity Factor 3% 6% 8% 9% 10% 5% 12.578 10.950 11.460 13.180 14.487 15.190 15.937 13.412 14.190 15.917 16.870 18.977 20.140 21.384 17.293 18.600 21.578 23.270 27.152 29.360 31.772 24.297 26.870 33.066 36.780 45.762 51.160 57.274 32.030 36.460 47.726 54.860 73.105 84.700 98.346 40.567 47.570 66.438 79.060 113.282 136.300 164.491 49.994 60.460 90.318 111.430 172.314 215.700 271.018…
- 12:42 Expert Q&A Done e bond wi e wth S en and dd 1 y Howuh wod an be wilngt pay r ths bonda5 pr yr y d con te e the intrt and annly to d compunding when p yea The urnt worh ofhend oundt the ) Azero coupon bond will be worth $15,000 when it matures and is redeemed after 13 years. How much would an investor be willing to pay now for this bond if a 3% per year yield is desired? Click the icon to view the Interest and annuity table for discrete compounding when = 3% per year. The current worth of the bond is (Round to the nearest dollar)Suppose that you are forecasting one-year T-bill rates issued by Bangladesh Bank which are 5.25%, 6.15%, 8.50%, 9.25%, 10.10% in year 1,2,3,4 and 5 respectively. There is a liquidity premium of .15% per year for holding 3-year or longer-term bond. Would you be indifferent between purchasing these T-bills each year for the next 5 years or buy a 5-year Family Bond at 7.1% interest rate? Briefly illustrate your answer using the relevant theory of term structure.Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.
- Q3: You may have already won $2 millions. You will receive $100,000 per year for 20 years. Suppose you are considering the following two options: First Choice: You save your winning for the first 7 years and then spend every cent of the winning in the remaining 13 years Second Choice: You do the reverse, spending for 7 years and then saving for 13 years If you can save wining at 7% interest, how much would you have at the end of 20 years and what interest rate on your saving will make the two options equivalent ?A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is 6534 dollars. How much did he invest at each rate? Your answer is total in the account paying 6 percent interest is total in the account paying 10 percent interest isEconomics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.