Question

In: Finance

8. Bond A has a yield to maturity 20% and trades at $100. This bond pays...

8. Bond A has a yield to maturity 20% and trades at $100. This bond pays semi-annual coupons. Face value is also $100 and time to maturity is 3 years. a. Calculate the duration of this bond. Note: Yield to maturity is not necessarily the same as effective yield (APR vs. EAR) b. Calculate the convexity of this bond c. If yields decrease by 30% (not p.p.), what is the impact on prices in percentage terms i. Using only duration ii. Using duration and convexity d. In question c), which result (i or ii) provides the best approximation to the actual impact of yield movements on prices?

Solutions

Expert Solution


Related Solutions

Consider a 5% callable bond with 20 years maturity and 8% yield which pays the face...
Consider a 5% callable bond with 20 years maturity and 8% yield which pays the face value plus 10% if it is redeemed before maturity. If after 10 years the bond is redeemed, find an upper bound for the yield at that time. Assume that coupon payments are made once per year.
The present value of a bond that has a yield-to-maturity of 10% and pays a coupon...
The present value of a bond that has a yield-to-maturity of 10% and pays a coupon of $100 is equal to its par value. True False
Consider a bond that pays annually an 8% coupon with 20 years to maturity. The percentage...
Consider a bond that pays annually an 8% coupon with 20 years to maturity. The percentage change in the price of the bond if its yield to maturity increases from 5% to 7% is closest to? Set your decimal places to 4 in your financial calculator. a 19.50% b 24.22% c -24.22% d -19.50%
A bond with 20 years to maturity is selling for $1,250 and has a yield to...
A bond with 20 years to maturity is selling for $1,250 and has a yield to maturity of 7.5 percent. if this bond pays its coupon payments semi annually and its par value is $1000, what is the bonds annual coupon rate? (Round your answers two decimal places.) A. 9.93% B. 10.42% C. 15.13% D. 8.57%
A 100 par bond pays semiannual coupons at 8%. Bond priced to yield 6% comp semiannually....
A 100 par bond pays semiannual coupons at 8%. Bond priced to yield 6% comp semiannually. Bond matures on 6/1/08 and is purchased on 10/1/03.Find full price on 10/1/03. Use 30/360
A coupon bond that pays interest annually has a par value of $1,000, matures in 10 years, and has a yield to maturity of 8%.
A coupon bond that pays interest annually has a par value of $1,000, matures in 10 years, and has a yield to maturity of 8%. Calculate the intrinsic value (price) of the bond today if the coupon rate is 9%.
A premium annual-pay bond pays a $77 coupon, has a yield to maturity of 6%, and...
A premium annual-pay bond pays a $77 coupon, has a yield to maturity of 6%, and is priced at $1,198.7. How many years till the bond matures? Answer in years to at least two decimal places.
Consider a bond with a 10% coupon and with yield to maturity = 8%. If the...
Consider a bond with a 10% coupon and with yield to maturity = 8%. If the bond’s YTM remains constant, then in one year, will the bond price be higher, lower, or unchanged? Please explain your answer and give examples to help demonstrate your explanation.
An 8%, 8-year bond pays annual coupons and has 5 years to maturity. If the market...
An 8%, 8-year bond pays annual coupons and has 5 years to maturity. If the market interest rate is 9%, calculate the value of the bond. Show the (condensed) time line and key steps of two methods. For the NS method, show the abbreviated equation/expression.
An 8 year bond has a yield to maturity of 6%. Which would result in the...
An 8 year bond has a yield to maturity of 6%. Which would result in the smallest % change in the bond’s price, a rise to 7% or a fall to 5%? Why?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT