Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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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 ?
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- Nonearrow_forwardConsider the following countinuous compunding LIBOR spot rates: 3M (2,2% pa.), 6M (2,3% pa.), 9M (2,6% pa.), 12M (3% pa.). Find a simple compunding rate pa. (interest compounded each 4M) which is equivalent to forward rate pa (under countinuous compunding for period starting from the end of 6M till the end of 9M).arrow_forwardA 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: -8310arrow_forward
- A $30,000,000 interest rate swap has a 12-month maturity, and was entered 2 months ago. This means the swap has a remaining life of 10 months. The swap pays interest quarterly, and it stipulates that the fixed rate is 4.5%, while the floating rate is the 3-month LIBOR +1%. Two months ago, when the swap was entered, 3-month LIBOR was 2.9%. The 3-month LIBOR forward rates and continuous time zero-coupon prices are given in a table below. Use the zero coupon prices to discount cash-flows. 3-month LIBOR Forward Rates Term rate 1x4 2.90% 2x5 2.85% 3x6 2.84% 4x7 2.88% 5x8 2.90% 6x9 2.91% 7x10 2.92% 8x11 2.92% 9x12 2.92% Zero-Coupon prices T (month) Price 1 0.9976 2 0.9953 3 0.9929 4 0.9904 5 0.988 6 0.9856 7 0.9831 8 0.9807 9 0.9783 10 0.9761 11 0.9737 12 0.9712 (Important hint: since the swap was entered 2 months ago, and makes quarterly payments, in the remaining 10 months, payments should be expected in 1 month, 4 months, 7 months and 10 months. Discount cash flows accordingly.)…arrow_forward5. 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.arrow_forwardNetflix company has entered into a plain vanilla interest rate swap on $2,500,000 notional principal. The company pays fixed rate of 7.0% on payments that occur at 60-day intervals. Six payments remain with the next one due in exactly 60 days. On the other side of the swap, the company receives payments based on the LIBOR rate. Describe the transaction that occurs between the company and the dealer at the end of the first period if the appropriate LIBOR rate is 8.5%.arrow_forward
- An investor holds the fixed-payer position in a 7.44%/LIBOR swap with $1M notional principal, semi-annual payments, and exactly one-year remaining. What is the value of the existing fixed-payer position, if the swap rate for new one-year swaps with matching notional principal is 3.57%/LIBORarrow_forwardA 2-year swap based on LIBOR is entered into on 30/6/2010 with current spot 3 month LIBOR at 0.54%. The swap is based on a notional principal of $100m What is the swap rate?arrow_forwardSuppose 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?arrow_forward
- Ford has a 5 year $100m fixed rate loan with Citibank at 0.061 (annual rate). Ford now thinks rates will go lower and calls Goldman Sachs for a swap and receives a quote of 0.029 / 0.030 (annual rate) against 6m LIBOR flat and executes the swap. Assume at the next rate reset, 6m LIBOR is 0.018 (annual rate). What is Ford's net effective annual interest rate for that rate reset in decimal terms to three decimal places? (eg 5.10% = 0.051)arrow_forwardSuppose today’s LIBOR rates for 1, 2, 3, 4, 5, and 6 months are 1.6%, 1.8%, 2.0%, 2.0%, 1.9%, and 1.6% with continuous compounding. What are the forward rates for future 1-month periods?arrow_forwardUse the following table of spot rates: Years to Maturity Annual Effective Spot Rate 3.00% 2 3.60% 3. 3.85% 4 4.05% 5. 4.20% For a 2-year-deferred, 3-year interest rate swap with the level notional amount is I 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? O a. 15,950 paid by the receiver Ob. 16,950 pay by the receiver O. 15,950 paid by the payer Od. 16,950 paid by the payer O e. None of the abovearrow_forward
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