Suppose 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?
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- 1. (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)An 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? (A semi-annual pay interest rate swap where the fixed rate is 5.00% (with semi-annual compounding) has a remaining life of nine months. The six-month LIBOR rate observed three months ago was 4.85% with semi-annual compounding. Today’s three and nine month LIBOR rates are 5.3% and 5.8% (continuously compounded) respectively. From this it can be calculated that the forward LIBOR rate for the period between three- and nine-months is 6.14% with semi-annual compounding. If the swap has a principal value of $15,000,000, what is the value of the swap to the party receiving a fixed rate of interest? Assume OIS rates are the same as LIBOR rates.
- A semi-annual pay interest rate swap where the fixed rate is 5.00% (with semi-annual compounding) has a remaining life of nine months. The six-month LIBOR rate observed three months ago was 4.85% with semi-annual compounding. Today’s three and nine month LIBOR rates are 5.3% and 5.8% (continuously compounded) respectively. From this it can be calculated that the forward LIBOR rate for the period between three- and nine-months is 6.14% with semi-annual compounding. If the swap has a principal value of $15,000,000, what is the value of the swap to the party receiving a fixed rate of interest? Assume OIS rates are the same as LIBOR rates. Please show how you get the floating paymentsAn 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?5. Suppose you have a 2.5-year remaining on an interest rate swap with a notional principal of $10,000, 000 between Company A and Company B. Company A pays fixed rate and Company B pays the float rate. Fixed and float payments are exchanged every year and the last payment was exchanged 6 months ago. The fixed rate is 3.5% per annum, and the floating rate is tied to the annual LIBOR. The previous 1-year LIBOR rate, set 6 months ago, is 2.75%, 6 month LIBOR is 3.25%. the 1.5-year LIBOR is 3.25%, and the 2.5-year LIBOR is 3.50%. Calculate the present value of the fixed and floating legs of the swap, and determine the swap's net present value from Company A's perspective. Assume annual compounding for discounting.
- A KIMEP BANK quotes you and interest rate of 12,5% per annum with semiannual compounding. What is the equivalent rate with annual compounding and continuous compounding? Choose the right answer: a. The rate with annual compounding is 12.89% and the rate with continuous compounding is 12.12% b. The rate with annual compounding is 12.12% and the rate with continuous compounding is 9.57% c. The rate with annual compounding is 10.28% and the rate with continuous compounding is 12.89% d. The rate with annual compounding is 10.38% and the rate with continuous compounding is 12.12%You signed a 15-year interest swap with annual payments to pay fixed and receive floating. The quote was 4.5-4.7% against LIBOR flat. The principal is 100,000. What is the value of the swap 5 years later if the 15-Y LIBOR is 2% and the 10-Y LIBOR is 3%? (please use a fixed rate to discount the cash flows.) Round to the nearest US cent (2 decimal places).6. Consider a credit default swap initiated on April 1, 2012. The notional principal amount is $100 million. The premium payments are made annually at a rate of 180 basis points per year. The swap will last for 5 years. Suppose that default event occurs on December 31, 2014. The recovery rate is 65%. Then the accrual payment is equal to ___________. a. $0b. $1,200,000c. $1,350,000d. $4,400,000e. $35,000,000
- 2. A company can invest funds for five years at LIBOR minus 40 basis points. The five-year swap rate is 4.5%. What fixed rate of interest can the company earn by using the swap?V5. Suppose that some time ago a financial institution agreed to receive 6-month LIBOR and pay 4% per annum (with semi-annual compounding) on a notional principal of $200 million. The swap has a remaining life of 1.25 years; assume that the payments are to be exchanged every 6 months. The LIBOR rates with continuous compounding for 3-month, 9-month, and 15-month maturities are 3.8%, 4.2%, and 4.4%, respectively. The 6-month LIBOR rate at the last payment date was 3.9% (with semiannual compounding). Suppose that the day count convention is ignored. Calculate the current value of the swap (in terms of bond prices) to the financial institution.nsurance company, IHI, is part of a swap agreement with investment bank Lachlin Bank on a notional principal of $100 million. IHI has agreed to pay Lachlin Bank the six month BBSW rate and receives 7% pa, convertible half-yearly. If the swap has a residual life of 18 months, and the next interest payment is due in six months, calculate the value of the swap for Lachlin, given BBSW rates (compounding continuously) for the corresponding 6, 12 and 18 month maturities are 6.91% pa, 7.3% pa, 7.35% pa and the half year BBSW rate on the next payment is known to be 7% pa compounding half-yearly. Give your answer in millions of dollars to 2 decimal places. Value = $ ___________ million ANSWER IN TYPING OTHER WISE DOWNVOTE YOU