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) 558.4OIS rates are 3.4% for all maturities. What is the value of an OIS swap with two years to maturity where 3% is received and the floating reference rate is paid. Assume annual compounding, annual payments, and $100 million principal.
- 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: -8310An interest rate swap has three years of remaining life. Payments are exchanged annually. Interest at 5% is paid and 12-month LIBOR is received. An exchange of payments has just taken place. The one-year, two-year and three-year LIBOR/swap zero rates are 4%, 5% and 6%. All rates are annually compounded. What is the value of the swap as a percentage of the principal ($100) when OIS and LIBOR rates are the same? (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 placesAn interest rate swap has three years of remaining life. Payments are exchanged annually. Interest at 2% is paid and 12-month LIBOR is received. An exchange of payments has just taken place. The one-year, two-year and three-year LIBOR/swap zero rates are 2%, 3% and 5%. All rates are annually compounded. What is the value of the swap as a percentage of the $100 principal value?A2) 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 3% is paid and 12-month LIBOR is received. An exchange of payments has just taken place. The one-year, two-year, and three-year LIBOR/swap zero rates are 2%, 3%, and 4% with continuous compounding. What is the value of the swap as a percentage of the principal when LIBOR discounting is used assuming that the principal is $100? (Note: You are expected to use continuous compounding/discounting. If you use discrete discounting the answer will be close) a. None of the other answers provided is correct. b. 2.88% c. 1.05% d. 0.00% e. 1.00%A $100,000 interest rate swap has a remaining life of 10 months. Under the terms of the swap, six-month LIBOR is exchanged for 4% per annum (compounded semi-annually). Six-month LIBOR forward rates for all maturities are 3.3% (compounded semi-annually). The six-month LIBOR rate was 2.6% two months ago. The risk free rate is 2.7% (cont. comp) for all maturities. What is the value of the swap to the party paying floating? (Required precision: 0.01 +/- 1)Let's imagine that the OIS rates for one year and two years are 2% and 4% respectively. Now, let's examine an OIS swap set to mature in two years, where you receive a fixed rate of 3% and pay the floating reference rate. The principal amount involved is 1 million. If payments are made annually with annual compounding, what is the value of the swap? (a)−558.4 (b) −188.5 (c) 0 (d)188.5 (e) 558.4