Question

A 7-year $500 par value bond has annual coupons with 3.7% annual coupon rate. It is...

A 7-year $500 par value bond has annual coupons with 3.7% annual coupon rate. It is yielding at an annual effective rate of 3.25%. (a) Calculate the Modified duration of the bond.(b) Estimate the price of the bond if the yield rate increases by 0.75% using the first-order modified approximation. (c) Estimate the price of the bond if the yield rate decreases by 0.25% using the first-order Macaulay approximation.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 7-year $500 par value bond has annual coupons with 3.7% annual coupon rate. It is...
A 7-year $500 par value bond has annual coupons with 3.7% annual coupon rate. It is yielding at an annual effective rate of 3.25%. (a) Calculate the Modified duration of the bond. (b) Estimate the price of the bond if the yield rate increases by 0.75% using the first-order modified approximation. (c) Estimate the price of the bond if the yield rate decreases by 0.25% using the first-order Macaulay approximation.
A15-year $1000 bond with 8% annual coupons sells at par. What is the price of the...
A15-year $1000 bond with 8% annual coupons sells at par. What is the price of the bond at an effective rate of 7.92%, using modified duration to approximate the change in price? How does this compare to the exact change in price?
4. A thirty-year $1,000 bond with annual coupons is redeemable at par and has a coupon...
4. A thirty-year $1,000 bond with annual coupons is redeemable at par and has a coupon rate of 8% for the first 12 years and then 10% for the remaining years. What is he price of the bond, if an investor would like to achieve an annual effective yield of 9.2%? Already worked but not correct in chegg.
A bond with a yield to maturity of 3% and a coupon rate of 3% has...
A bond with a yield to maturity of 3% and a coupon rate of 3% has 3 years remaining until maturity. Calculate the duration and the modified duration for this bond assuming annual interest payments and a par value of $1,000. Why is the duration of this bond higher than the 3-year 10% coupon bond yielding 10% we looked at in the notes that had a duration of 2.7 years? If the required market yield on this bond increases to...
A 10 year bond with annual coupons has face value 500 units and coupon rate of...
A 10 year bond with annual coupons has face value 500 units and coupon rate of two per cent. Because the bond is seen as a “safe refuge”, during uncertain times the price is bid up. a) Calculate by how much the (second hand market) price would need to rise to in order for the yield received by a purchaser to fall to zero. b) If the bond had no coupons what yield would be the result of an increase...
A bond has a coupon rate of 8% (annualized) and pays semiannual coupon. It has a...
A bond has a coupon rate of 8% (annualized) and pays semiannual coupon. It has a par value of $2000, and a yield of 6%. It is due in 3 years. A.Compute the price of the bond. B.Compute Macaulay duration. C.If the yield increases by 0.2% compute the approximate price change using the Macaulay duration. D. If the Federal Reserve hikes rates what effect should it have on the bond price .
A 25-year semiannual bond has 10% coupon rate and par value $1,000. The current YTM of...
A 25-year semiannual bond has 10% coupon rate and par value $1,000. The current YTM of the bond is 10%. Its Macaulay duration is 9.58 years and convexity is 141.03. (1) What is the bond’s modified duration? (2 points) (2) What is the percentage price change if interest rate were to fall 125 basis points considering both duration and convexity? (4 points) (3) What is the estimated price with 125 basis points decrease in yield? (4 points)
Suppose a 6-year zero-coupon bond with a face value of $100 trades at $76.235. If the...
Suppose a 6-year zero-coupon bond with a face value of $100 trades at $76.235. If the yield increases by 125 basis points, what is the magnitude of the error between the exact new bond price and the first-order approximation of the new bond price using the Modified Duration?
Consider a 10-year, $1,000 par value bond that pays annual coupons. Coupon rate of the bond...
Consider a 10-year, $1,000 par value bond that pays annual coupons. Coupon rate of the bond is 9%. If the current price of this bond is $900, we can infer that the yield-to-maturity (YTM) of this bond is _________. A. less than 9% B. equal to 9% C. Not enough information D. greater than 9%
A bond has a coupon rate of 4.6% and pays coupons semi-annually. The bond matures in...
A bond has a coupon rate of 4.6% and pays coupons semi-annually. The bond matures in 5 years and the yield to maturity on similar bonds is 2%. Is this a par, premium or discount bond? What is the price of the bond?   What is the coupon rate for the bond? Assume semi-annual payments. Answer as a percent! Bond Coupon Rate Yield Price Quote t Apple B ? 3.7% 99.09 21
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT