1.(15 marks)(a)Consider a two-year interest rate swap with semi-annual payments based on actual/360 day-countand a notional principal of $1 million. Assume that the current six-month LIBOR and theforward LIBORS for the next three periods are as follows:CurrentForwardNo. of Days 6-Month6-MonthPeriodin PeriodLIBORLIBOR11814.6%21845.0%31815.2%41845.6%(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)

(a) Swap Rate Calculation:1. Calculate Fixed-rate Payments:Fixed-rate payment for period…

Answered: 1. (15 marks) (a) Consider a two-year…

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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The value of annual(A) uniform payments over years 1-5 is equivalent to a payment schedule of 200, 200, 240, 240, 240 for years 1-5 respectively at an interest rate of 10% .equals $340 True False
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate r. P = $3800.00, A = $3885.50, t = 3 months S % (Round to the nearest tenth of a percent as needed.)
1. Use MV = P(1 + RT) to find the maturity value (in $) of the loan. (Round your answer to two decimal places.) Principal Rate (%) Time Maturity Value $5,600 7.4 14 months 2Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent. CompoundAmount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest $6,000 12 years 6 semiannually $ $
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
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.
2. Find the present value of $500 due in the future under each of these conditions: a. 12% nominal rate, semiannual compounding, discounted back 5 years b. 12% nominal rate, quarterly compounding, discounted back 5 years c. 12% nominal rate, monthly compounding, discounted back 1 year Hint: identify the interest rate per period and the total number of periods in each scenario first. O
The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. Round answer to the nearest cent. P=$900, r=6%, t=2 months
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 - ?
B. Complete the table by finding the unknown time and rate. (15) (11) quarterly (12) (13) (14) 8,800 Semi- (16) (17) (19) 10,000 (20) 11% (18) annually Principal Nominal Rate Interest papunodwoɔ Frequency of Conversions Interest rate per period Time in Years Number of conversions Interest punodwoɔ Maturity value
What is the effective interest rate per payment period for an interest rate of 12% compounded monthly when the payment is quarterly ? Select one: a.0.06 b. 0.5 c. 0.12 d. 0.4 e.0.03
Q3.1.For an interest rate of 2% per quarter, determine the nominal interest rate per (a) semiannual period; (b) year; and (c) 2 years.

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