Problem 3. (14 points) Consider the following rate and price tree for a straight bond. 981.65 9% 991.20 VHH=? 7.5% 1,027.46 6% VL=? VH=? 1,009.43 6% 1,047.02 VHL=? 4.5% VL=? 1,038.83 3% VLL =? Find the missing prices for a European put option on the bond. The option expires at the end of the second year and has an exercise price of $1,020. Also, determine whether or not it would be optimal for the holder to exercise early at the end of the first year at node H?
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- Evaluate the European bond yield curve below (the purple line). Utilising an adequate theoretical lens, explain what the yield curve indicates about the direction of future interest rates, and what this could mean about future lending decisions.H5. Which of the following is the name of the semiannual payment of $20 that you receive on a bond you own? a. Face Value b. Discount c. Yield d. Call Premium e. Coupon Explain with details and also explain wrong optionsUse the following information to answer this question. In your answers, ignore the negative sign, if any. Yield on Bond A Yield on Bond B Yield on Bond C 5.50% 6.50% 3.50% a) What is the yield spread between bonds A and B (in basis points)? b) What is the relative yield spread between bonds B and C? Bond C is your basis. c) What is the yield ratio between A and C? Bond C is your basis.
- Evaluate the American bond yield curve below. Utilising an adequate theoretical lens, explain what the yield curve indicates about the direction of future interest rates, and what this could mean about future lending decisionsThis first table describes prevailing market interest rates. Market Data Yield 0.05 Required: Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. (Use cells A5 to B5 from the given information to complete this question.) Time Until Payment Payment Discounted Payment Weight Time × Weight 1.00 $30.00 2.00 $30.00 3.00 $30.00 4.00 $1,030.00 Price: DurationConsider the following money market information being quoted: Which of the following statements is true? Particulars GBP Interest Rate THB Interest Rate Spot Rate 1-year Expected Spot Rate Bid Rate 6.100% 10.550% THB5.6601/GBP THB5.9037/GBP C. Ask Rate 6.125% 10.625% THB5.6622/GBP THB5.9961/GBP a. There is an arbitrage which can only be made by initially borrowing GBP and then investing in THB. b. More than one of the options in this question are correct. The THB is selling at a premium to the GBP in the future. O d. There is an arbitrage which can only be made by initially borrowing THB and then investing in GBP.
- Interest Payments and Interest Expense for Bonds (Straight Line) Swiss Inc. sold 20-year bonds with a total face amount of $401,000 and a stated rate of 7.5%. The bonds sold for $425,000 on January 1, 2024, and pay interest semiannually on June 30 and December 31. Required: 1. Prepare the entry to recognize the sale of the bonds. If an amount box does not require an entry, leave it blank. 2024 Jan. 1 88 (Record issuance of bonds at premium.) 2. Determine the amount of the semiannual interest payment required by the bonds. Round your answer to the nearest whole dollar and use the same in subsequent calculations. 3. Prepare the journal entry made by Swiss at June 30, 2024, to recognize the interest expense and an interest payment. If an amount box does not require an entr leave it blank. 2024 June 30 88 (Record interest expense.) 4. Determine the amount of interest expense for 2024.Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?7. Plot the (positive) prices (Y axis) of a new 10-year, 10% bond and a new 2-year, 10% bond against r (X axis), using r = market interest rate = 0%, 2%, 5%, 8%, 10% 12%, 15%, 20%, 25%, 30%, and 45%. Note that two curves should be in one chart (See Slide 5.47). Comment on the results. Turn in the Excel file (use the required file name) with the chart and calculations. Can use Excel functions to make it efficient.
- Use the following zero-coupon bond prices to answer the next questions: Days to Maturity Zero-Coupon Bond Price 90 180 270 360 0.99009 0.97943 0.96525 0.95238 What is the rate on a synthetic FRA for a 90-day loan commencing on day 90? A 180-day loan commencing on day 90? A 270-day loan commencing on day 90?man.1Give typing answer with explanation and conclusion Consider a coupon bond with coupon payment=4.25, M=100, and n=2. Suppose ?1 = 4% and ?2 = 4.24%. Consider a forward contract for the delivery of the coupon bond in one period from today. Calculate the forward price using the following two approaches: 1) use the forward rate to price the forward contract; 2) use the cost of carry approach: spot-forward parity adjusted for the coupons.