Use the data from Q5, and given the following annualized interest rates: r(30) = 4.0%; r(120) = 4.5%; r(210) = 5.0%, and; r(300) = 5.5% sixty days after the initiation of the pay-fixed swap. If the pay-fixed and receive-floating swap is to mark-to-the-market now, who pays whom and how much? Use $5m notional principal. Pay-fixed leg pays $24,214.41 to pay-floating leg. Pay-floating leg pays $24,214.41 to pay-fixed leg. Pay-fixed leg pays $25,455.45 to pay-floating leg. Pay-floating leg pays $25,455.45 to pay-fixed leg.
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- Suppose we are pricing a five-year Libor-based interest rate swap with annual resets (30/360 day count). The estimated present value factors are given below: Maturity(years) Present ValueFactors1 0.9900992 0.9778763 0.9651364 0.9515295 0.937467 What is the fixed rate of the swap? Answer in 4 decimal placesPLease use actuarial science work to solve this question. The answer is (a) 0.1774, (b) 0.2124, (c) 0.3020 Thank you so much.If you are the floating-rate payer in an interest rate swap, paying LIBOR + 40bp with a notional value of $1,000,000 and LIBOR turns out to be 0.72%, 0.83%, 0.91% and 1.03% at the four annual payment dates, what are your dollar payment obligations at those dates?
- 1. Term structure of interest rates and swap valuation Suppose the current term structure of interest rates, assuming annual compounding, is as follows: s1 82 83 84 S5 86 7.0% 7.3% 7.7% 8.1% 8.4% 8.8% What is the discount rate d(0, 4)? (Recall that interest rates are always quoted on an annual basis unless stated otherwise.) Please submit your answer rounded to three decimal places. For example, if your answer is 0.4567 then you should submit an answer of 0.457. Enter answer here5. If the 60-day interest rates (simple, p.a.) are 3% at home (usd) and 4% abroad (eur) and thespot rate moves from 1.000 to 1.001:(a) What is the return differential, and what is the corresponding prediction of the change in the forward rate? (b) What is the actual change in the forward rate?(c) What is the predicted change in the swap rate computed from the return differential?(d) What is the actual change in the swap rate?Vijay
- An asset manager is contemplating to enter into a two-year equity swap in which he gets the S&P 500 Index's rate of return in exchange for paying a fixed interest rate. At the start of the trade, the S& P 500 stock index was at 1161.73. Semiannual payments are required under the swap. A. Determine the swap's annualized fixed rate, given the current interest rate term structure as follows: Lo(180) = 0.0501 Lo(360) = 0.0533 L.(540) = 0.0640 | L.(720) = 0.0669 the swap's market value 160 days late Det is in place. the new rm structure L160(20) = 0.0549 L160(200) = 0.0633 L160(380) = 0.0689 L160(560) = 0.0712 The S&P 500 is currently trading at 1214.94. The swap's nominal principal is $110 million. B.Use the following information about an interest rate SWAP contract to answer the following question. Assume ½ for the date count fraction. (Do not round intermediate calculations.) If Bank of America wants to make a book P/L of $30,000, what adjustment should it make to its LIBOR floating payments? Counter Parties Notional Principal Fixed Rate payer Fixed Rate Floating Rate Payer Floating Rate Floating Rate Reset Effective date Maturity Date Barclays & Bank of America $8,000,000 Barclays 6% (s.a.) Bank of America LIBOR+???bp (s.a.) 6 months December 21, 2020 December 21, 2023 Term (Years) Pay rate zero Discount Factor Receive rate zero 0.5 5.25% 0.9747 5.33% Discount Factor 0.9744 1 5.78% 0.9454 5.88% 0.9445 1.5 5.97% 0.9167 6.17% 0.9141 2 6.22% 0.8863 6.33% 0.8845 2.5 6.31% 0.8582 6.43% 0.8557 3 6.39% 0.8304 6.51% 0.8276 Provide you answer in basis points, rounded to two decimal points. Recall that 1% = 100 basis points. The following numbers are meant to provide guidance for…Suppose that at the present time, one can enter 5-year swaps that exchange LIBOR for 5%. An off-market swap would then be defined as a swap of LIBOR for a fixed rate other than 5%. For example, a firm with 11% coupon debt outstanding might like to convert to synthetic floating-rate debt by entering a swap in which it pays LIBOR and receives a fixed rate of 11%. What up-front payment will be required to induce a counterparty to take the other side of this swap? Assume notional principal is $95 million. (Do not round intermediate calculations. Round your final answer to the nearest dollar amount.)
- Please explain all calculations and actions please: You are about to sign an interest swap to pay fixed and receive floating. The quote is 4.5-4.7% against LIBOR flat. The principal is 100,000. What is the value of the swap? (please use a fixed rate to discount the cash flows.) Round to the nearest US cent (2 decimal places).Suppose that at the present time, one can enter 5-year swaps that exchange LIBOR for 5%. An off-market swap would then be defined as a swap of LIBOR for a fixed rate other than 5%. For example, a firm with 7% coupon debt outstanding might like to convert to synthetic floating-rate debt by entering a swap in which it pays LIBOR and receives a fixed rate of 7%. What up-front payment will be required to induce a counterparty to take the other side of this swap? Assume notional principal is $10 million.Today is the 10th January 2023. You want to buy a Floating Rate Note (FRN) that matures on the 10th July 2027 and pays an annual coupon equal to LIBOR. Compute the fair price of the note. Use the data in Table 1. The LIBOR rate at selected dates are showed in Table 3. Please show your calculations. Discuss your result.