An investor who owns a interest rate swap pay six-month LIBOR and receive 2.38% (semi-annual compounding) on a principal of 99 million Euro. The remaining life of this swap is 15 months (1.25 years). The LIBOR rates for 3m, 9m and 15m are 3.38%, 3.88%, and 4.38% (continuous compounding), and the 6-month LIBOR on the last payment date (the most recent reset date) was 3.58% (semi-annual compounding). Calculate the value of the swap (in millions):

An investor who owns a interest rate swap pay six-month LIBOR and receive 2.38% (semi-annual compounding) on a principal of 99 million Euro. The remaining life of this swap is 15 months (1.25 years). The LIBOR rates for 3m, 9m and 15m are 3.38%, 3.88%, and 4.38% (continuous compounding), and the 6-month LIBOR on the last payment date (the most recent reset date) was 3.58% (semi-annual compounding). Calculate the value of the swap (in millions):

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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?
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)
Suppose you have a 2.5-year remaining on an interest rate swap with a notionalprincipal of $10, 000, 000 between Company A and Company B. Company A pays fixed rateand Company B pays the float rate. Fixed and float payments are exchanged every year andthe last payment was exchanged 6 months ago. The fixed rate is 3.5% per annum, and thefloating 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 is3.50%.Calculate the present value of the fixed and floating legs of the swap, and determine the swap’snet present value from Company A’s perspective. Assume annual compounding for discounting.
Incredible Inc., a manufacturer of children’s toys, enters into a two-year plain vanilla interest rate swap, in which the corporation will receive a fixed rate and pay a floating rate of LIBOR. The notional amount on this swap is $75 million. Swap payments will be netted every 180 days, and the LIBOR requires the assumption of a 360-day year. The term structure of LIBOR on the swap initiation date is as follows: Days Rate (%) 180 3.50 360 3.55 540 3.60 720 3.70 a. What is the fixed rate determined on the swap initiation date? b. Calculate the swap value on the initiation date.
An IOU agreement was made between two persons. For a face value of P100,000, it was agreed that the borrowerwill make 8 annual payments at a 10.50% interest rate. The first payment will be due at the end of the year. It wasalso agreed that 90% of the face value will be paid for redemption. What is the bond value if it yields at a rate of12%?
The 9-month LIBOR rate is 5%, and the 6-month LIBOR rate is 4%, on the basis of continuous compounding and 365 days a year. The 3-month Eurodollar futures price quote for a contract with a delivery date in 6 months should be: a. 93.0000 b. 92.9384 c. 93.0351
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 payment
A bond promises to pay the bondholder equal payments of P6,000 in six-month intervals for 30 years. If the face amount is P450,000, what is the fair price of the bond? Assume that the market rate is 2% compounded annually.
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%/LIBOR
Consider a $15 million interest-rate swap in which cash flows based on a fixed rate of 5% (with semi-annual compounding) are exchanged for 6-month LIBOR. The swap has a remaining life of 9 months. The 6-month LIBOR that was observed three months ago was 4.85% (with semi-annual compounding). The forward LIBOR for the period between 3 months and 9 months (from today) is 6.14% (with semi-annual compounding). The risk-free rates for 3 months and 9 months are 5.3% and 5.8%, respectively, with continuous compounding. Calculate the value of the swap to the party receiving the fixed rate.
A firm enters into a five-year fixed for float agreement one year ago. Because one year has passed the swap has exactly four more years remaining. Since the reset date for the next floating payment is today, the next applicable floating rate can be identified in the table below. Payments from each firm occur at the end of each year. Assume that the firm agreed to pay a fixed rate of 6.45% (based on annual compounding) and to receive the floating rate. The notional amount of the swap is $12 million. Use the following current spot term structure for annual interest rates (all based on continuous compounding) to determine the value of the plain vanilla, fixed for float interest rate swap. Term (years) Spot Zero Annual Interest Rates (based on continuous compounding) 0.5 5% 1 5.5% 1.5 6% 2 6.5% 2.5 7% 3 8% 3.5 8.5% 4 9% 4.5 9.5% 5 10%
On January 1, 20X1, Novak, Inc., enters into an interest rate swap and agrees to receive fixed and pay variable on a notional amount of $5,000,000. The contract calls for cash settlement of the net interest amount at December 31 of each year. The yield curve is flat, and the agreement is to last until December 31, 20X9. Both the fixed annual rate and the variable annual rate at January 1, 20X1, are 7.00%. The variable interest rate is reset at the end of each year and becomes effective for the next year. On December 31, 20X1, the variable rate is reset to 8.00% per year, and on December 31, 20X2, the variable rate is reset to 5.00%. 1. Compute the fair value of the swap agreement at December 31, 20X1. Asset or a liability?2. Compute the fair value of the swap agreement at December 31, 20X2. Asset or a liability?

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