Question

Explain the concepts of duration and convexity.

Explain the concepts of duration and convexity.

Homework Answers

Answer #1

Macaulay’s duration measures the sensitivity of a bond price to changes in interest rate. It is the weighted average maturity of the cash flows of the bond.

Modified duration of a bond is a measure of sensitivity of the bond to changes in interest rate. It measures how the price of a price of a bond in response to a change in interest rates.

Therefore, its an exposure to interest rate risk for a particular bond.

Modified duration is Macaulay’s duration divided by one plus the bond’s yield to maturity.

Convexity measures how a bond’s duration will change in response to a change in yield. So, it is used to measure interest rate risk. It is also used to predict the price of bonds.

n case of any query, kindly comment on the solution.

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
Explain how to use duration and convexity of a 100 year bond for interest rate risk...
Explain how to use duration and convexity of a 100 year bond for interest rate risk management.
What makes some bonds have higher convexity than others?How are duration and convexity related?
What makes some bonds have higher convexity than others?How are duration and convexity related?
Consider a bond selling at par with modified duration of 10.6 years and convexity of 210....
Consider a bond selling at par with modified duration of 10.6 years and convexity of 210. A change of -2% in the yield would cause the price to change by 21.2% according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule?
1)Consider a bond selling at par with modified duration of 22-years and convexity of 415. If...
1)Consider a bond selling at par with modified duration of 22-years and convexity of 415. If the yield decreases by 2%, what would be the percentage price change according to the duration-with-convexity rule? 44% 52.3% 60.6% 80% 2)Bond A has an 8-year duration and is priced at $1,070. Its yield to maturity is 9%. If the yield to maturity falls to 8.42%, you would predict that the new value of the bond will be approximately ________. $1,024.5 $1,070.0 $1,115.5 $1,160.1
You hold a portfolio of bonds with a total duration of 7.3 and convexity of 65....
You hold a portfolio of bonds with a total duration of 7.3 and convexity of 65. You expect a parallel increase in yields of 5%. What is the expected percentage change in value?
You own an annual coupon bond with a duration of 11.11 years and a convexity of...
You own an annual coupon bond with a duration of 11.11 years and a convexity of 128.62. The bond is currently priced at $805.76 and the yield to maturity is currently 6%. However, you expect the yield to maturity to increase to 8%. What will be the new price of the bond?
Do you agree with the following statement? Explain why. The information about a bond’s duration and...
Do you agree with the following statement? Explain why. The information about a bond’s duration and convexity adjustment is sufficient to quantify interest rate risk exposure.
Coupon 9% YTM 8% Maturity 5 Years Par 1,000 Duration 3.99 years Convexity 19.76 years 1)...
Coupon 9% YTM 8% Maturity 5 Years Par 1,000 Duration 3.99 years Convexity 19.76 years 1) Calculate the price of the bond from a 10 basis point decrease in yield 2) Using duration, estimate the price of the bond for a 10 basis point decrease in yield
1. Present the formula for the convexity of a bond. Build a spreadsheet to calculate the...
1. Present the formula for the convexity of a bond. Build a spreadsheet to calculate the convexity of an 8% (3 year duration) coupon bond at the initial yield to maturity of 10% and a zero coupon bond (3 year duration) at a 10% interest rate for both Spreadsheet format Time until payment Payment Payment Discounted at 10% Weight Column 1 * Column 4 1 2 3
If a bond has high positive convexity: It must be callable. It can be callable but...
If a bond has high positive convexity: It must be callable. It can be callable but must be trading above its call price. The investor benefits from large changes in interest rates, compared to how an otherwise similar low convexity bond would have performed. The investor is hurt by large changes in interest rates, compared to how an otherwise low convexity bond would have performed. Duration provides a precise estimate of the bond’s interest rate risk
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT