Use the following table of spot rates: Years to Maturity Annual Effective Spot Rate 1 3.00% 2 3.60% 3. 3.85% 4. 4.05% 4.20% For a 2-year-deferred, 3-year interest rate swap with the level notional amount is 1 million and 1-year spot rate at time 3 is 3%, what is the amount of the net settlement payment at time 4? Is this amount paid by the payer, or by the receiver?
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- 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%.Suppose the 1-year and 2-year OIS rates are 2% and 4%, respectively. Consider an OIS swap with two years to maturity where you receive 3% and pay the floating reference rate with principal 1 million. If the payments are made annually with annual compounding the value of the swap is (a)−558.4 (b)−188.5 (c) 0 (d) 188.5 (e) 558.4Finance Assuming we have the following immediate interest rates in the market: 1M - 2.5%, 2M - 2.8%, 3M - 3%, calculate the FRA 1v2 rate. Assume that each month has 30 days and a year has 360 days. If the investor has purchased this contract at the FRA rate calculated above and the interest rate in the market at the time the contract is settled is 3.2%, then in which direction the settlement flows (between the buyer and seller of the contract)? (please use the formula to solve it, thank you)
- You are given the folloving spot rates: Time Spot Rate 1 3.0% 2. 3.5% 3. 4.0% 4. 4.5% Bill enters into a four-year interest rate swap where the floating rate resets annually. The notional amount of the swap is 1000 the first year, 1500 the second year, 2500 the third year, and 3000 the fourth year. Determine the swap interest rate. Possible Answers A 4.3% 4.5% 4.7% 4.8% 4.9%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?Continuously compounded LIBOR rates per annum for 6, 12, and 18-months are given in the table below. The 2-year swap rate is 3% per annum with payments made semiannually. What is the 2-year LIBOR/swap zero rate for 2 years? Use LIBOR discounting 0.5 - 2.0% 1.0 - 2.4% 1.5 - 2.6% 2.0 - ?
- 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 places1. (15 marks) (a) Consider a two-year interest rate swap with semi-annual payments based on actual/360 day-count and a notional principal of $1 million. Assume that the current six-month LIBOR and the forward LIBORS for the next three periods are as follows: Current Forward No. of Days 6-Month 6-Month Period in Period LIBOR LIBOR 1 181 4.6% 2 184 5.0% 3 181 5.2% 4 184 5.6% (a) What is the swap rate for this swap? (9 marks) (b) After one year, the six-month LIBOR is 5.5% and the forward LIBOR for the next period is 6.0%. What is the value of this swap from the perspective of the floating-rate payer? (6 marks)D3) Finance The current SOFRs for 3-month, 6-month and 9-month are 10.96%, 11.25% and 11.45%, respectively. What is annualized swap rate for the 9-month interest rate swap? %
- Suppose the 1-year and 2-year OIS rates are 2% and 4%, respectively. Consider an OISswap with two years to maturity where you receive 3% and pay the floating reference ratewith principal 1 million. If the payments are made annually with annual compounding, what is the value of the swapA2) A semi-annual pay interest rate swap where the fixed rate is 6.00% (with semi-annual compounding) has a remaining life of eight months. The six-month LIBOR rate observed four months ago was 5.00% with semi-annual compounding. Today’s two and eight month LIBOR rates are 5.5% and 5.75% (continuously compounded) respectively. Assume that OIS and LIBOR rates are the same. If the swap has a principal value of $100,000, the value of the swap to the party receiving a fixed rate of interest is closest to which of the following ?An interest rate swap has three years of remaining life. Payments are exchanged annually. Interest at 4% is paid and 12-month LIBOR is received. A exchange of payments has just taken place. The one-year, two-year and three- year LIBOR/swap zero rates are 3%, 4% and 5%. All rates an annually compounded. What is the value of the swap if LIBOR discounting is used. O 2.58 O 5.47 2.06 O 1.06