Under the terms of an interest rate swap, a financial institution has agreed to pay 10% per annum and to receive the 3-month LIBOR in return on a notional principal of $50 million with payments exchanged every 3 months. The swap has a remaining life of 14 months. The current rate being swapped for 3- month LIBOR is 11.8% per annum for all maturities. The 3-month LIBOR rate 1 month ago was 12% per annum. All rates are compounded quarterly.

Under the terms of an interest rate swap, a financial institution has agreed to pay 10% per annum and to receive the 3-month LIBOR in return on a notional principal of $50 million with payments exchanged every 3 months. The swap has a remaining life of 14 months. The current rate being swapped for 3- month LIBOR is 11.8% per annum for all maturities. The 3-month LIBOR rate 1 month ago was 12% per annum. All rates are compounded quarterly.

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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An 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?
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 swap
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 payments
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 investor who owns a interest rate swap pay six-month LIBOR and receive 18.1% (semi-annual compounding) on a principal of 95 million Euro. The remaining life of this swap is 15 months (1.25 years). The LIBOR rates for 3m, 9m and 15m are 19.1%, 19.6%, and 20.1% (continuous compounding), and the 6-month LIBOR on the last payment date (the most recent reset date) was 19.3% (semi-annual compounding). Calculate the value of the swap (in millions):
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 - ?
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
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.
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
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.
Styles c)A swap agreement calls for Grand Industries to pay interest annually based on a rate of 1% over the one year T bill rate, currently 6%. In return, Grand receives interest at a rate of 6% on a fixed rate basis. The notional principal for the swap is $ 500000| What is Grand's net interest for the year after the agreement?

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