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Question 1
You work at the interest rates swaps trading desk of an investment bank. Exactly three years ago you entered into an interest rate swap with a client with a notional of £200 million. The client is paying a fixed rate of 4% with semi-annual frequency and receiving the floating rate LIBOR with semi-annual frequency. The interest rate swap had a maturity of six years when it was initiated. Today is payment day and you have already exchanged the cash-flows for today. What is the value of this interest rate swap for you? Use the data in Table 1. Please show your calculations. Discuss your result.
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- Suppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 2.00% per year. What is the real risk-free rate of return, r*? The cross-product term should be considered , i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)Assume the following: Spot USDBRL = 5.0500 1YR USD Money Market Rates = 1.50% 1YR BRL Money Market Rates = 9.00% What is the 1YR USDBRL forward rate? (Recall that Money Market Rates are quoted as annualized rates)Calculate the annual arithmetic mean and geometric mean return on the following security, purchase price: $42; first-year dividend - $4; price after one year - $47; second-year dividend - $4; selling price after two years = $40. (Round intermediate calculations to 3 decimal places, eg. 15.251% and the final answers to 2 decimal places, e.g. 15.25%.) 1) Find arithmetic average return % 2) Find Geometric mean return % 3) State which method is more appropriate for the situation
- If you note the following yield curve in The Wall Street Journal, what is the one-year forward rate for the period beginning one year from today, 2f1 according to the unbiased expectations theory? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Maturity Yield One day 1.16 % One year 1.68 Two years 1.92 Three years 2.03 one Year Foward rate = %5. Suppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 6.00% per year. What is the real risk-free rate of return, r*? Disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average.If you note the following yield curve in The Wall Street Journal, what is the one-year forward rate for the period beginning one year from today, 2f1 according to the unbiased expectations theory? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Maturity Yield One day 1.16 % One year 1.68 Two years 1.92 Three years 2.03
- You note the following yield curve in The Wall Street Journal According to the unbiased expectations theory, what is the one-year forward rate for the period beginning two years from today, 11? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g.. 32.16)) Maturity Yield One day 200% One year 5.50 Two years 6.50 Three years 9.00Assume inflation is 0.21% per month. Would you rather earn a nominal return is entered0.72% per month, compounded monthly, or a real return of 6.44% APR, compounded annually? (Note: Be careful not to round any intermediate steps less than six decimal places.) The annual rate for the nominal return 0.72% per month is _______ (Type your answer in decimal format. Round to six decimal places.) Part 2 The nominal annual rate for the real return of 6.44% APR is _____ (Type your answer in decimal format. Round to six decimal places.) (Select from the drop-down menus.) Based on a comparison of the two rates and the current inflation rate, you would prefer the ▼ nominal return compounded monthly real return compounded annually option over the ▼ nominal return compounded monthly real return compounded annually option.The level of the Syldavian market index is 23,000 at the start of the year and 27,500 at the end. The dividend yield on the index is 5.5%. What is the return on the index over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) If the interest rate is 8%, what is the risk premium over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) If the inflation rate is 9%, what is the real return on the index over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
- You took a long position on EUR when the prevailing market rate was EUR/USD: 1.3223-1.3227. After six months, you want to square your net FX position to take profits. Which of the following scenarios will yield you maximum profits? Scenario A: at EUR/USD 1.3245 – 1.3253 Scenario B: at EUR/USD 1.3230 – 1.3255 Scenario C: at EUR/USD 1.3231 – 1.3235 Scenario D: at EUR/USD 1.3247 – 1.3252 You took a short position on GBP when the prevailing market rate was GBP/USD: 1.3223-1.3227. After six months, you want to square your net FX position when the prevailing market rate is GBP/USD 1.3218-1.3221. How may pips did you earn? 5 pips 9 pips 2 pips .0009 pips If you want to square your long GBP position, at what rate are you going to sell GBP to maximize profits given GBP/USD quotes from three counterparties? BDO: 1.35-45 BPI: 1.40-55 SECB: 1.50-1.65 1.35 1.50 1.65 1.45 Given “RTB 5-12”, which of the following statements is correct? This is a 5-yr RTB issued in 2012 This…Consider the following balance sheet (in millions) for an FI: Assets Liabilities Duration = 10 years $950 Duration = 2 years $860 Equity $90 What is the FI's duration gap, and FI's interest rate risk exposure ? How can the FI use futures and forward contracts to put on a macrohedge? What is the impact on the FI's equity value if the relative change in interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Suppose that the FI in part (c) macrohedges using Treasury bond futures that are currently priced at 96. What is the impact on the FI's futures position if the relative change in all interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Assume that the deliverable Treasury bond has a duration of nine years. If the FI wants to macrohedge, how many Treasury bond futures contracts does it need?Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 6.10% r2 = 6.00% r3 = 5.80% r4 = 5.50% What are the following forward rates? Hint: f1, k refers to a forward rate for the period beginning in one year and extending for k years. fk,1 refers to a forward rate beginning in k years and extending for 1 year. f1,1 : f1,2 : f1,3 : f2,1: f3,1 :