Maria Cavilero, a bond investor, is most concerned with price volatility. All else equal, which of the following fixed-coupon bonds would she most likely buy? A fixed coupon-bond with:
A) |
10 years to maturity and a 6.5% coupon. | |
B) |
10 years to maturity and an 8.5% coupon. | |
C) |
15 years to maturity and an 8.5% coupon. | |
This question is asking: given a change in yield, which of the bonds will exhibit the least price change? Of the four choices, Cavilero is most likely to buy the bond with the shortest maturity and highest coupon because it will have the least price volatility. Price volatility is directly related to maturity and inversely related to the coupon rate.
All else equal, the bond with the shorter term to maturity is least sensitive to changes in interest rates. Cash flows that are further into the future are discounted more than near-term cash flows, so the nearer to maturity the cash flows are received, the higher the present value. Here, this means that one of the 10-year bonds will have the least volatility. Similar reasoning applies to the coupon rate. A higher coupon bond delivers more of its total cash flow earlier than a lower coupon bond. All else equal, a bond with a higher coupon will exhibit less price volatility than a lower-coupon bond. Here, this means that of the 10-year bonds, the one with the 8.50% coupon rate will exhibit less price volatility than the bond with the 6.50% coupon.
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