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
In two-year swap forward rate corresponding to first exchange is one-year zero rate or 6.4%. That is, when fixed rate is paid, value of the exchange per $100 in principal is $100*(6.4%-6.8%)e^(−6%*1)=-$0.3767. If F is forward rate for 2nd year, then (F-6.8%)e^(-6%*2)=0.3767 implying F=0.07225 or 7.225%
Suppose that OIS rates of all maturities are 6% per annum, continuously compounded. The one-year LIBOR...
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...
Cement Al-Yamamah has just entered into a two-year floating-for-fixed swap contract, where payments are made every six months. The 6-month LIBOR is 4.11%. The 6 to 12 months forward LIBOR rate is 5.92% and the 12 to 18 month forward LIBOR rate is 8.19. The two-year swap rate is 5.1%. If the OIS rate is 3.5% and the term structure of the OIS rate is flat, what is the 18 to 24 month Forward LIBOR rate? All rates are semi-annually...
What is the value of a swap with two years to maturity where SOFR is received and 5% per annum is paid (with semi-annual compounding) every six months on a $1,000,000 notional principal. Assume the OIS rates are 4.1% for all maturities (with continuous compounding).
Suppose that the term structure of interest rates is flat in the UK and Australia. The UK interest rate is 0.5% per annum and the AUD rate is 1.5% per annum. The current value of the AUD is 0.59 GBP. Under the terms of a swap agreement a financial institution pays 1.3% per annum in AUD and receives 0.2% per annum in GBP. The principals in the two currencies are £ 23 million and 40 million AUD. Payments are exchanged...
Some time ago, a multinational company entered into a currency swap in which it pays 2.8% on $17 million USD and receives 3.8% on 13 million Euros, both rates are semi-annually compounded. There are three annual payments left, where the first payment is after one year from now, and the current exchange rate of the one Euro is $1.6 USD. If the USD OIS is 2.5% and Euro OIS is 3.5% (both are continuously compounded), what is the value of...
.1. You observe the following Treasury bills and bond prices available in Saudi Arabia Bond/Bill Bond/Bill principalTime to maturityAnnual couponBond price1000.25099.21000.50098.31000.75097.210016.2 (Quarterly payments)1021001.256.6 (Quarterly Payments)102.5a) Calculate continuously compounded zero rates for maturities of 3 months, 6 months, 9 months, 12 months and 15 months. b) Calculate the par yield for the following bonds: I. A 12-month bond that pays coupons semiannually. II. A 12-month bond that pays coupons quarterly. c) What is the continuously compounded yield on the coupon-paying bonds, which mature in 1 and...
Suppose S = $100, r = 8% per annum (continuously compounded), t = 1 year, σ = 30% per annum, and δ = 5% per annum. Construct an eight-period binomial tree for the underlying stock using each of the following models Forward binomial tree Cox-Ross-Rubinstein binomial tree Lognormal tree Using the binomial trees you constructed, please compute the prices an American put struck at K=$95 and has 1 year to expiration. Please highlight early exercise locations on your trees.
a. For an interest rate of 100% per year compounded continuously, calculate the effective daily, weekly, monthly, quarterly, semiannually, and annually interest rates. b. An investor requires an effective return of at least 12% per year. What is the minimum annual nominal rate that is acceptable for continuous compounding?
Suppose that zero interest rates are per annum with continuous compounding are as follows: Maturity (years) Rate (% per annum) (1, 2.5) (2, 3.0) (3, 3.5) (4, 4.2) (5, 4.7) Calculate 1-year forward interest rates for the second (f1,2), third (f2,3), fourth (f3,4), and fifth (f4,5) years. Use the rates in the previous part to value an FRA today as the borrower with 5% per annum for the third year on $1 million. (FRA is for the year starting at...
Assume all rates are per annum continuously compounded Consider the following three European call options, all expiring in one year. Option A has strike $17.00 and premium $7.00; Option B has strike $22.00 and premium $4.00; Option C has strike $27.00 and premium $2.00. Suppose the price on the stock today is $22.00. (a) Which call(s) is(are) in-the-money? A. Option A B. Option B C. Option C D. None of the above (b) Which call(s) is(are) out-of-the-money? A. Option A...