Duration=Sum(t*Cash Flow at time t/(1+r)^t)/Sum(Cash Flow at
time
t/(1+r)^t)=(1*12%*1000/1.1+2*12%*1000/1.1^2+2*1000/1.1^2)/(12%*1000/1.1+12%*1000/1.1^2+1000/1.1^2)=1.89456869
1. (15 points) Consider a 12%-coupon bond with a face value on of 2 years. The bond pays coupons annually, so there...
Consider a 2-year coupon bond that pays coupon annually with a coupon rate of 3%, face value $1000, a yield to maturity of 4%. (a) What is the approximated bond price estimated by both duration and convexity if the yield is increased by 0.5%? (b) Suppose you purchased 1 unit of the above coupon bond mentioned above and is worried if the interest rate will increase. You are considering taking short position on a zero coupon bond. The zero coupon...
Compute the duration of a bond with a face value of $1,000, a coupon rate of 7% (coupon is paid annually) and a maturity of 10 years as the interest rate (or yield to maturity) on the bond changes from 2% to 12% (consider increments of 1% - so you need to compute the duration for various yields to maturity 2%, 3%, …, 12%) . What happens to duration as the interest rate increases?
Consider a 2-year coupon bond that pays coupon annually with a coupon rate of 3%, face value $1000, a yield to maturity of 4%. (a) What is the approximated bond price estimated by duration if the yield is increased by 0.5%? (b) What is the convexity of this coupon bond?
Consider two bonds: bond XY and bond ZW . Bond XY has a face value of $1,000 and 10 years to maturity and has just been issued at par. It bears the current market interest rate of 7% (i.e. this is the yield to maturity for this bond). Bond ZW was issued 5 years ago when interest rates were much higher. Bond ZW has face value of $1,000 and pays a 13% coupon rate. When issued, this bond had a...
Consider a 3-year risk-free bond, which pays annual coupons. The coupon rate is 3.5% and the face value is 500. The bond is issued at time t=0, pays coupons at time t=1,2,3 and face value at time t=3. You purchase the bond at time t=0. While holding the bond, you do not reinvest the coupon payments. What is the future value, at time t=2, of the coupon payments you received if you held the bond from t=0 to maturity? What...
1) Consider a 10-year bond trading at $1150 today. The bond has a face value of $1,000, and has a coupon rate of 8%. Coupons are paid semiannually, and the next coupon payment is exactly 6 months from now. What is the bond's yield to maturity? 2)A coupon-paying bond is trading below par. How does the bond's YTM compare to its coupon rate? a. Need more info b. YTM = Coupon Rate c. YTM > Coupon Rate d. YTM <...
bond X and bond Y. Bond X has a face value of $1,000 and 10 years to maturity and has just been issued at par. It bears the current market interest rate of 7% (i.e. this is the yield to maturity for this bond). Bond Y was issued 5 years ago when interest rates were much higher. Bond Y has face value of $1,000 and pays a 13% coupon rate. When issued, this bond had a 15-year, so today its...
a. Springfield Nuclear Energy Inc. bonds are currently trading at $1,775.16. The bonds have a face value of $1,000, a coupon rate of 10.5% with coupons paid annually, and they mature in 25 years. What is the yield to maturity of the bonds? b. Consider an annual coupon bond with a face value of $100,12 years to maturity, and a price of $76. The coupon rate on the bond is 6%. If you can reinvest coupons at a rate of...
12 Consider a 5-year bond with a face value of 100 USD/bond that pays coupons ev- ery six months. It has a yield to maturity of 4.0400% and an annual coupon rate of 4.0000%. What is the bond's price if there are no arbitrage opportunities? (Input your answer with 4 decimals)
The below bond is traded at yield 5.2 % and has seven (7) years to maturity. The face value is $1000 and coupons are paid semi-annually. Bond Coupon Rate A 6.00% Table 01 (a) Calculate the price of the bond. (3 marks) (b) Calculate the duration of the bond. (5 marks) (C) Due to unforeseen circumstances, the last payment will be postponed to two years later. All other payments have no change. Calculate the new price and duration of the...