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1. The par value of 10% debenture is $1,000 with maturity is 3 years. What would be the price if interest rate is
(a) 12%,
(b) 10% and
(c) 8%?
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- The par value of 10% debenture is $1,000 with maturity is 3 years. What would be the price by general floating formula if interest rate is 12%, Use excel.1. Suppose the term structure of interest rates is shown below: 1 year Term Rate (EAR%) 5.00% 2 years 4.80% 3 years 4.60% 5 years 4.50% 10 years 4.25% 20 years 4.15% What is the present value (PV) of receiving $1100 per year with certainty at the end of the next three years?Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 6.10% r2 = 6.00% r3 = 5.80% r4 = 5.50% What are the following forward rates? Hint: f1, k refers to a forward rate for the period beginning in one year and extending for k years. fk,1 refers to a forward rate beginning in k years and extending for 1 year. f1,1 : f1,2 : f1,3 : f2,1: f3,1 :
- Assume that you are preparing an amortization table for a three-year note with a stated and yield rate of 10% and 12%, respectively. Interest is payable every yearend. Which of the choices would be true? a. C4 - D4 = B4 b. E1 - D2 = E2 c. E3 + D3 = E4 d. B5 - D5 = C5The term structure of interest rates is as follows: Maturity Spot Rate / 14% 212%/. What is the forward rate for one year, one year from now (f 1.1)? 2. If the forward rate for two years, one year from now (12. 1) is equal to 9%, then what is. the spot rate with maturity 3 years (13)?What is the present value of a perpetuity (no maturity date) with a constant coupon payment of $100 annually with interest rate of 10%? O a. $1100 O b. $100 O c. $909.1 O d. $90.9 e. $1,000
- You enter in a long position in a 6x12 FRA at a LIBOR rate of 3.00% and a nominal value of $10M. (a) When does this FRA expire in months? (b) Suppose, at maturity, the 6-month LIBOR rate is 3.5%. What is your payoff on that FRA? Note you should calculate this value at the maturity of the FRA, which is month 6.Consider the following spot interest rates for maturities of one, two, three, and four years. r₁ = 4.3% 2 = 4.9% √3 = 5.6% r4 = 6.4% What are the following forward rates, where fkn refers to a forward rate beginning in k year(s) and extending for n year(s)? f2,1 = ? f3,1 = ? f2,2 = ?If the one-year and two-year interest rates are 6.5% and 7% respectively, what should be the forward rate for year 2 (according to the expectations theory)? 7% 7.5% 7.75% 7.25% 6.75%. 6.5%
- Your liabilities consist of $60,000 coming due in one year and $40,000 coming due in three years. The market interest rate is 7%. What is the convexity of your liabilities? O4.144 O 4,244 3.944 O4.34410. If P 11 200 is the present value of P 13 700 due at the end of 16 months, find a. discount interest rate Answer: b. simple interest rate Answer:Suppose the term structure of interest rates is shown below: Term Rate (EAR%) 5.00% 4.80% O $2,408 1 year 2 years 3 years 5 years 10 years 20 years The present value (PV) of receiving $1,100 per year with certainty at the end of the next three years is closest to O $3,612 O $4,214 O $3,010 4.60% 4.50% 4.25% 4.15%