Assume that the price of a $1,000 zero coupon bond with five years to maturity is $567 when the required rate of return is 12 percent. If the required rate of return suddenly changes to 15 percent, what is the price elasticity of the bond?
Bond Price Elasticity PE is the sensitivity of bond prices denoted by P to the change in the Interest rates denoted by K . The Price sensitivity is always negative.
The formula is -
now to found the Bond Prices of zero coupon bond of face value $1000 with 5 years maturity with rate of return of 15% we simply use the zero coupon bond formula
P1 = $497 (rounded off to nearest integer)
Bond Prices Notation | Prices($) |
P1 | 497 |
Po | 567 |
Rate of Return Notation | Rate of Return |
K1 | 15% |
K2 | 12% |
Putting Values in formula
PE = -0.494
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