Suppose a ten-year bond with a $10,000 face value pays a 5.0% annual coupon (at the end of the year), has 2 years left to maturity, and has a discount rate of 6.5%. Which of the following would give you the present value - i.e. the price - of the pond?
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- Suppose a ten-year bond with a $10,000 face value pays a 5.0% annual coupon (at the end of the year), has 2 years left to maturity, and has a discount rate of 6.5%. Which of thé following would give you the present value - i.e. the price – of the bond? Select one: a. Present Value = Price = $10,500/(1.065)² %3D %3D b. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²] + ... + [$500/(1.065)NI, where N=00 c. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²] +I$10,000/(1.065)²] %3D d. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²]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?Suppose that a bond is purchased between coupon periods. The days between the settlement date and the next coupon period is 115. There are 183 days in the coupon period. Suppose that this bond has a coupon rate of 7.4% and there are 10 semiannual coupon payments remaining. Assuming that the par value is $100, what is the “clean price” for this bond if a 5.6% discount rate is used? What is the accrued interest for this bond? What is the “dirty price?”
- Every year you pay your neighbor $150 to clean the gutters at your house. You saw an ad on late night TV for a new product--GutterSnipe--which sits in the gutters and prevents leaves getting in. Your interest rate is 8%, compounded daily, and you plan on being in the house another 10 years. You assume that any potential buyer won't be interested/notice that you have installed GutterSnipe on your house. What is the most you would be willing to pay to buy GutterSnipe for your house? $978 $965 $1010 $992Q) General Electric recently sold $1000 bonds maturing in 30 years with an annual yield of 4.125%. After how much time could they be sold for twice their original price? Give your answer in years and months. Solve this Handwriting or typed not in excel. And correctly exolainbond 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 bond
- Economics 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.Compute the discount if $ 2,000 is discounted for 6 months at 8% simple interest"If you purchase a car from a certain dealership, you expect to have four free oil changes per year during the five years you keep the car. Each oil change would normally cost you $26.61. If you save your money in a mutual fund earning 4.55% per quarter, how much are the oil changes worth to you at the time you buy the car?" A) 538.76 B) 493.01 940.54 D 264.48 E) 472.68
- You have a five year old child and you have been thinking about how you are going to help her pay her way through college. You look up some safe investments; like savings bonds. Given that the future pay-off of the bond is $8,500 over five years at 5% interest, what should you expect to presently pay (present value) for the bond? True Car of Columbia, SC advertised a Ford EcoSport (2019) at $23,178. The EcoSport is a sporty smaller SUV that is perfect for the recent college graduate/young professional. Given that the repayment period is 5 years and the interest on the loan is 3.99%, what are the likely monthly car payments on this loan? The average median 2019 price of a home here in Columbia, SC was around $145,000. That price is not bad at all (surprisingly good!!). Given that the interest on the housing loan is roughly 3.92% and the deal is over 30 years, what should you approximately expect your monthly payments to be if you decide to purchase a house…An investor has the opportunity to make an investment that will provide an effective annual yield of 16.5 percent. She is considering two other investments of equal risk that will provide compound interest monthly and quarterly, respectively. Required: a. What must be the equivalent nominal annual rate (ENAR) for an investment that will provide compound interest monthly to ensure that an equivalent annual yield of 16.5 percent is earned? b. What must be the equivalent nominal annual rate (ENAR) for an investment that will provide compound interest quarterly to ensure that an equivalent annual yield of 16.5 percent is earned? Note: For all requirements, do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places. a. Equivalent nominal annual rate-monthly compounding b. Equivalent nominal annual rate-quarterly compounding % %1- The six-month and one-year zero rates are both 10% per annum. For a bond that has a life of 18 months and pays a coupon of 8% per annum (with semiannual payments and one having just been made), the yield is 10.4% per annum. What is the bond's price? What is the 18-month zero rate? All rates are quoted with semiannual compounding.