The LIBOR rates today for 2, 3, and 6 months are 4.0%, 4.5%, and 5.0%, respectively. What should be the rate of 2×6 FRA contract initiated today? Assume all rates are continuously compounded annual rates.
A. 4% B. 4.5% C. 5% D. 5.5% E. 6% D is the answer, please show the solution.
At initiation, value of FRA to both the parties will be zero. This will happen when FRA rate=forward ratr for 4 months starting in 2 months
rate for 2 months*2+forward rate for 4 months*4=rate for 6 months*6
=>forward rate for 4 months=(6*5%-2*4%)/4=5.5%
The LIBOR rates today for 2, 3, and 6 months are 4.0%, 4.5%, and 5.0%, respectively....
The LIBOR rates today for 2 and 6 months are 5.0% and 6.0%, respectively. If the 3×6 FRA contract initiated today has the rate of 5.5%, what should be the LIBOR rates today for 3 months? Assume all rates are continuously compounded annual rates. A. 7% B. 5% C. 5.5% D. 6% E. 6.5%
The 6-month, 12-month, 18-month, and 24-month zero rates are 4%, 4.5%, 4.75%, and 5% with semiannual compounding, respectively. (a) What are the rates with continuous compounding? (b) What is the forward rate for the six-month period beginning in 18 months? (c) What is the value of an FRA that promises to pay you 6% (with semiannual payment) on a principal of $1 million for the six-month period starting in 18 months? (d) If the six-month LIBOR rate were 6.5% in...
Suppose that OIS rates of all maturities are 6% per annum, continuously compounded. The one-year LIBOR rate is 6.4%, annually compounded and the two-year swap rate for a swap where payments are exchanged annually is 6.8%, annually compounded. Which of the following is closest to the LIBOR forward rate for the second year when LIBOR discounting is used and the rate is expressed with annual compounding
REQUIRED Let the continuously compounded zero interest rates for 6, 12 and 18 months be: r05-4%, ri -5%, and r1.5-5.9%, p.a. respectively. Calculate the prices of a 6-month zero-coupon note a 1-year bond with 7% annual coupon rate (semi-annual payment), and a 15-year coupon bond with 3% annual coupon rate (semi-annual payment). Assume a bond face value of £100 a) (7 marks) b) Calculate the annualised yield to maturity for each security from question (a) and express it both in...
Company A has entered a 3-year SWAP contract under which it pays floating payments every 3 months on the basis of LIBOR + 20 basic points p.a. Simultaneously, company A receives each 3 months fixed payments calculated on the basis of interest rate of 4% p.a. (under quarterly capitalization). Principal of this contract is 1.000.000 PLN. Please value this contract at date 01.01.2017 from the perspective of company A (based on portfolio of bonds). Assume that at 01.01.2017 there is...
Six-month LIBOR is 3.5%. LIBOR forward rates for the 6- to 12-month period and for the 12- to 18-month period are both 3.7%. Swap rates for 2- and 3-year semiannual pay swaps are 3.6% and 3.8%, respectively. Estimate the LIBOR forward rates for maturities of 18-month to 2 years, 2 to 2.5 years, and 2.5 to 3 years. Assume that the 2.5-year swap rate is the average of the 2- and 3-year swap rates and that OIS zero rates for...
Consider the following market. There are two contracts A and B available. Contract A is priced at $16 today and it delivers 2 gallons of oil and 4 bushels of corn tomorrow. Contract B is priced at $12 today and it delivers 3 gallons of oil and 2 bushels of corn tomorrow. If someone offers a new contract that delivers 12 gallons of oil and 11 bushels of corn tomorrow, what would be the price today of this new contract?...
Problem 7.1 We are given the following yield curve: spot rate year 5.0% 4.5% 4.0 % 2 3 4.0% 4.0% 4 A 3-year $1,000 par value bond with annual coupon payments has yield curve above coupon rate of 4%. Use the a (a) find the price P. (b)* find the yield to maturity
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An investment costs $3 today. It will pay two dividends of $0.31, respectively in 6 months and in 1 year. If the prevailing interest rate is 5.52% per annum, what must the final price be at the end of 1 year to make this a fair investment with an NPV of $0 ? What should a 6-year $1,000 7.6% semi-annual coupon bond sell for, if the prevailing interest rate is 3.5%?
HOME ASSIGNMENT
PROBLEM №1
What is a forward price of an index JKL given the following
information?
Date of pricing: November 15, 2019
Time till expiration: four months / Contract expires on March
15, 2020
Current value of an index: 2 803
Continuously compounded interest rate: 4.5 %
Continuously compounded dividend yield: 2.3%
PROBLEM №2
What is the value of the forward contract (specified in
problem №1) on January 15, 2020 if:
Forward price of contract with the same underlying...