A 3-Year fixed interest bond pays a coupon of 5% p.a., yearly in arrears and is redeemed at par. An investor purchases the 100 nominal of the bond at 95. (1) Compute the effective annual rate. (2) If the value of the inflation index (I) over 3 years has the following behaviour: I(t = 1) = 104. I(t = 2) = 108.16 and I(t = 3) = 112.49
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- A three year bond has par value of $1000, coupon rate of 6% which is paid semiannually, and a price of $985. What is its yield to maturity as a percentage rounded to the nearest thousandth (.001)? (remember to annualize your answer).Using the following binomial model of one-year interest rate, price a 2-year, 6% annual-coupon bond with a par value of $920. Assume annual compounding. All rates are expressed on a bond equivalent basis. Round your answer to 2 decimal places. Time 0 io = 2% Time 1 11.H = 8% i1L = 4%What is the present value of a 10-year bond that has 4 years left-to-maturity (N), 7% annual required rate (I/Y) and 8% annual payment (PMT)? (Note: assume future value, FV, is $1000).
- the following features: • Coupon rate of interest (paid annually): 10 percent • Principal: $1,000 • Term to maturity: 8 years a. What will the holder receive when the bond matures? |-Select- b. If the current rate of interest on comparable debt is 7 percent, what should be the price of this bond? Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. Would you expect the firm to call this bond? Why? -Select- v, since the bond is selling for a-Select- v. c. If the bond has a sinking fund that requires the firm to set aside annually with a trustee sufficient funds to retire the entire issue at maturity, how much must the firm remit each year for eight years if the funds earn 7 percent annually and there is $80 million outstanding? Use Appendix C to answer the question. Round your answer to the nearest dollar.What is the Macaulay duration in years of a 3% coupon bond with 2 years to maturity and a face value of $100? Assume the bond is trading at a yield of 7%, and that coupons are paid semi-annually. Assume semi-annual compounding. Round your answer to 2 decimal places.At an annual effective interest rate of 8%, the following securities have the same modified duration: A 6-year bond with annual coupons at a rate of r, redeemable at par. • A 10-year security with equal payments at the end of cach year. Calculate r.
- Emma bonds will mature in eight years; the coupon rate of the bond is 6% paid semiannually. If the appropriate discount rate is 4%, what is the value of the bond? O a. $1073.25 O b. $1135.78 O. $1543.11 O d. $1293.02Consider a 1-year treasury bill that currently earns 3.25%. The increase in rates for the above bill is shown as follows: Year Increase in rate 1 year from now 3.6% 2 years from now 3.85% The liquidity premium is as follows: 2-year securities 3-year securities 0.07% 0.15% Assume that if the liquidity premium theory is correct. Calculate the current rate on 3-year Treasury securities.Consider bond A with a face value of $500,000 to be repaid at maturity. The maturity of the bond is 2 years. The coupon rate is 8% per annum and coupon payments are made semiannually. The current market rate is 6% p.a. What is the bond’s duration ? Round your final answer to 2 decimal places. E.g. if the final answer is -3.59 years, type -3.59 in the answer box. If the final answer is 3.59 years, type 3.59 in the box .
- Suppose that the current 6-month, 1-year, 1.5-year and 2-year interest rates are 2.2%,3%, 3.5% and 3.75%, respectively. a) Calculate the prices of a 1-year and 2-year Treasury bonds. In each case, assumethe face value of £100 and the coupon rate of 5% per annum and that coupons arepaid semi-annually. Assume continuous compounding. Compare the obtainedresults. Are they consistent with your expectations? b) Calculate the par yield on the 1-year bond with semi-annual couponsThe following table represents the term structure of spot interest rates: Rate (% p.a., semi- annual compounding) 3.30% Term (years) 0.50 1.00 1.50 2.00 2.50 3.00 3.92% 4.35% 4.52% Consider two bonds - Bond A and Bond B. Bond A has a maturity of 1.5 years and pays coupons semi-annually at the rate of 10% per year. Its yield to maturity is 3.9050% p.a., semi- annual compounding. Bond B has a maturity of 3 years and pays coupons semi-annually at the rate of 7% per year. Its yield to maturity is 4.4805% p.a., semi-annual compounding. What are the spot interest rates for the terms of 1 year and 2 years?Suppose a bond is priced at $1108, has 18 years remaining until maturity, and has a 8% coupon, paid monthly. What is the amount of the next interest payment (in $ dollars)? $__________.