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 placesConsider a 1-year semi-annually paid interest rate swap, the notional is £1,000,000, the swap rate is 3.0%, the floating rate is GM LIBOR + 1%. On the market, the 6M LIBOR spot and its 6-month maturity forward are 3.0% and 1.0%, respectively. Sketch the cash-flow diagram of the fixed-leg.Consider a one-year interest rate swap with semi-annual payments, based on 30/360 day count convention. The term structure of LIBOR spot rates is given as follows: 6-month LIBOR at 7.2%, and 12-month LIBOR at 8.0%. What is the annualized fixed rate on the swap? A. 7.42%. B. 7.93% C. 7.84%. D. 7.56%.
- If the 60-day interest rates (simple, p.a.) are 3% at home (usd) and 4% abroad (eur) and the spot rate moves from 1.000 to 1.001:What is the actual change in the swap rate?Assume oat forward prices over the next 3 years are $2.30, $2.40, and $2.33, respectively. Effective annual interest rates over the same period are 5.5%, 5.8%, and 6.1%. What is the 3-year swap price if the delivery in year 1 is 100,000 bushels, the delivery in year 2 is 125,000 bushels and the delivery in year 3 is 175,000 bushels?The continuously compounded interest rate is 5% p.a. and the storage cost for copper is 8% p.a. What is the price of a 9-month futures contract on copper, if the current spot price is $3.4 per pound? (Round your answer to 2 decimals.)
- A plain vanilla 2-year interest rate swap with annual payments has a notional principal of $1 million. 5 month(s) into the swap, the term structure of interest rates is flat at 4.70%. The first floating-rate payment has already been set to 5.00%. The fixed payments are 5.29%. What is the value of this swap? Please show steps Answer: -8310Suppose that a bank has agreed to the following terms of an interest rate swap:- The notional principal is CAD 300 million and the remaining life of the swap is 11 months.- The bank pays 8% per annum, and receives three-month LIBOR.- Payments are exchanged every three months.- The swap (fixed) rate is 11% per annum for all maturities.- The three-month LIBOR rate a month ago was 12.5% per annum. All rates are compounded quarterly. Estimate the value of the swap using a) a bond-price valuation method, and b) a FRAs-based method?Suppose we observe the three-year Treasury security rate (1R3) to be 4.9 percent, the expected one-year rate next year-E(21)-to be 5.4 percent, and the expected one-year rate the following year-E(301)-to be 6.4 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the one-year Treasury security rate? (Do not round intermediate calculations. Round your percentage answer to 2 decimal places. (e.g., 32.16)) One-year Treasury security rate %
- Consider a $10,000,000 1-year quarterly-pay swap with a fixed rate of 4.5% and a floating rate of 90-day LondonInterbank Offered Rate (LIBOR) plus 150 basis points. 90-day LIBOR is currently 3% and the current forward ratesfor the next four quarters are 3.2%, 3.6%, 3.8%, and 4%. If these rates are actually realized, at the second quarterlysettlement date, the fixed-rate payer in the swap will:a. receive a payment of $5,000b. receive a payment of $5,000c. receive a payment of $7,500d. neither make nor receive a paymentSuppose the three-year swap rate for a swap with annual payments is 3.2% and that OIS (risk-free) zero rates for maturities of one, two and three years are 2.5%, 2.7% and 2.9% respectively. What is the value of a three-year swap where 4% is received and TSOFR is paid on a principal of $100 million? All rates are annually compounded.You are trying to buy an interest rate swap that will give you floating LIBOR interest for the next 3 years. The notional principal is $100,000 and the settlement is annual. If the annual LIBOR forward rates for the next three years are such that f0,1 = 3%, f1,2 = 3.5% and f2,3 = 4% (fx,y = forward rates between year x and y), determine the fixed rate of this interest rate swap. (Note: Fixed rate in an interest rate swap is a choice variable as in this case. You can buy an interest rate swap as a speculator without having any assets.)