NO.PZ2023120801000079
问题如下：
Which of the following statements about Macaulay duration is correct?
选项：
A.A bond's coupon rate and Macaulay duration are positively related.
A bond's Macaulay duration is inversely related to its yield-to-maturity.
The Macaulay duration of a zero-coupon bond is less than its time-to-maturity.
解释：
Correct Answer: B
A bond's yield-to-maturity is inversely related to its Macaulay duration: The higher the yield-to-maturity, the lower its Macaulay duration and the lower the interest rate risk. A higher yield-to-maturity decreases the weighted average of the times to the receipt of cash flow, and thus decreases the Macaulay duration.
A bond's coupon rate is inversely related to its Macaulay duration: The lower the coupon, the greater the weight of the payment of principal at maturity. This results in a higher Macaulay duration. Zero-coupon bonds do not pay periodic coupon payments; therefore, the Macaulay duration of a zero-coupon bond is its time-to-maturity.
请问当收益率越高的时候， reinvestment risk 会越低，怎么推出price risk 的高低呢？