Coupon = Face value * coupon rate
= $400,000 * 6%/2
= $12,000.
Price=12,000/(1+0.055+0.008*0.5)^0.5 + 12000/(1+0.055+0.008*1)^1 + 12000/(1+0.055+0.008*1.5)^1.5 + (400,000+12000)/(1+0.055+0.008*2)^2=$306,241.63
= 11,660.9321 + 11,288.8053 + 10,887.6617 + 359,185.0684
= $393,022.47
The function s(t) = 0.055 + 0.008t gives the effective annual rate of a zero coupon...
Exercise 6. Suppose that a broker quotes the price of unit zero-coupon bonds, with maturity times of (0.5, 1.0, 1.5, 2.0) years, to be respectively (0.95, 0.92, 0.86,0.84). Calculate the no-arbitrage price of a 2-year bond with face-value £500,000, semi-annual coupons at rate 4% per annum, and no redemption payment.
Question 10 (10 Points): You are given the following bond prices for bonds with annual coupons and face and redemption amounts of $100 each Coupon rate (%) Terın to maturity (Years) Price ($) 97.36 94.97 105.36 6 10 Find the annual effective rates of interest for a one, two, and three-year zero-coupon bonds.
A one year zero coupon bond has an effective annual rate of 7.5%. A three year zero coupon bond has an effective annual rate of 10.5%. If a 3 year coupon-bearing bond that pays coupons of 14.5% annually has a yield of 10.1%, what is the effective annual rate of a two year zero coupon bond?
please answer all questions 1. A bond has face value 500 and coupon rate 4%. Coupons are paid every 6 months, and the redemption amount is the face value. Find the price if the yield rate and time to maturity are a. 5% and 2 years b. 3% and 2 years c. 5% and 15 years d. 3% and 15 years Note the coupon and yield rates are nominal annual interest rates compounded twice a year.
Question 9 Homework • Unanswered An Apple annual coupon bond has a coupon rate of 5.7%, face value of $1,000, and 4 years to maturity. If its yield to maturity is 5.7%, what is its Macaulay Duration? Answer in years, rounded to three decimal places. Numeric Answer: Unanswered 2 attempts left Submit Question 10 Homework Unanswered A T-bond with semi-annual coupons has a coupon rate of 6%, face value of $1,000, and 2 years to maturity. If its yield to...
(20pts) 5. The term structure of interest rates for zero-coupon bonds with $100 face value is shown below: Maturity 1 year 2 years 3 years YTM Price 4.60% 2 4.80% 2 5.00% 2 (5pts) (a) Find the current price of the zero-coupon bonds. (15pts) (b) Consider a three-year coupon bond with a $2000 face value that pays 10% annual coupons. Show that the price of this three-year bond must be equal to a portfolio of the above zero-coupon bonds. What...
A T-bond with semi-annual coupons has a coupon rate of 3%, face value of $1,000, and 2 years to maturity. If its yield to maturity is 4%, what is its Macaulay Duration? Answer in years, rounded to three decimal places
Bond maturity 4 Years initial interest rate = 4.00% Coupon Rate 3.00% Annual Coupon Face Value $1,000.00 Dollar Coupons $30.00 Given the information in the table, what is the price effect in year 3 if the interest rate changes from 4.00% to 6.00 %?
Question Find the equilavent years to maturity ofa zero-coupon bond to one that has a coupon rate of 8.60%, 5 years to maturity and a yield to maturity of 9.20% Find the equilavent years to maturity of a zero-coupon bond to one that has a coupon rate of 660% (annual coupons) 10 years to maturity, and a yield to maturity 3 of 6.00%. Find the approximate percentage change in the price of a bond due to a 10 basis point...
6. A $1000 bond pays coupons at a rate of one-third of the effective annual interest rate. The present value of the coupons agrees with the present value of the redemption amount. Find the price of the bond.