Insurance 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

Insurance 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

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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A floating rate mortgage loan is made for $185,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,480. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,480?
Vikrambhai
Use the following information for questions 12-15: 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.
You enter into a five-to-eight-month forward rate agreement with a firm. You agree to lend the firm a 3-month loan of $5 million starting 5 months from now, with a quarterly compounded forward interest rate of 2.5% per annum. Currently, the continuously compounded 5-month and 8-month interest rates are 3% per annum and 3.5% per annum, respectively. 1) What is the implied forward rate for the 3-month period starting 5 months from now? 2) What is the present value of this forward rate agreement to you now?
Commercial bank A and Savings bank B entered into a swap contract. The swap has a notional principal amount of $200 million and calls for Commercial Bank A to make annual floating interest rate payment of LIBOR minus 0.75% to Savings Bank B. In return, Savings Bank B pays fixed 8% interest rate to Commercial Bank A. If LIBOR is 8%, what is the net payment?
A corporation enters into a five-year interest rate swap with a swap bank in which it agrees to pay the swap bank a fixed rate of 10.60 percent annually on a notional amount of €15,000,000 and receive six-month CME Term SOFR + 0.5 percent. As of the second reset date, determine the price of the swap from the corporation's viewpoint assuming that the fixed rate side of the swap has increased to 11.10 percent.
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.)…
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.
Netflix 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%.
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)
A loan of £8,200 is to be repaid over a 11-year contract by three initial payments of £2,000, £2,000 and £4,000 at the end of years 2, 4 and 9, respectively. Hence, find a final amount £X at the end of year 11 that needs to be paid to fully clear the debt given that the lender charges an annual nominal rate of interest of 9.0% convertible monthly. ( correct answer = 8972.45, no tables, please, ONLY formulas)

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