Explain the concepts of duration and convexity.
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.
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