Duration and Convexity Calculators Go to www.investinginbonds.com/story.asp?id 5
ID: 2654530 • Letter: D
Question
Duration and Convexity Calculators
Go to www.investinginbonds.com/story.asp?id 5 207. Choose the link for the generalpurpose
bond calculator. The calculator provides yield to maturity, modified duration, and
bond convexity as the bond’s price changes. Experiment by trying different inputs. What
happens to duration and convexity as coupon increases? As maturity increases? As price
increases (holding coupon fixed)?
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the E-Investments exercise on page 546
Book: Investments
Edition: 9th
Author(s): Bodie, Zvi; Kane, Alex; Marcus, Alan
ISBN13: 9780073530703
ISBN10: 0073530700
Format: Hardcover
Pub. Date: 9/17/2010
Explanation / Answer
1. effect on duration when the coupon increases - duration is a measure of how long does it take for the price of a bond to be repaid by its internal cash flows. So, if coupon increases the internal cash flow will also increase. This will cause the duration to fall or decline.
Convexity represents the relationship between price and yield. The higher the coupon rate, the lower the convexity. So when the coupon increases, convexity will decline.
2. effect of increase in maturity on duration - Duration decreases as time moves closer to maturity. If maturity is increased, the duration will also increase.
effect of increase in maturity on convexity - increase in maturity will increase the duration which in turn will increase the convexity.
3. effect of increase in price on duration - when price increase, more time will be needed for the internal cash flow to pay back the increased price. This will increase the duration.
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