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Frances · 2024年08月28日

升多降少

NO.PZ2023090201000110

问题如下:

Two par bonds have the same duration but different convexity. All else being equal, if yields to maturity increase by 10 basis points, it is most likely that:

选项:

A.the more convex bond underperforms the less convex bond.

B.both bond prices decrease by the same amount.

C.the more convex bond outperforms the less convex bond.

解释:

C is correct.

The two bonds are assumed to have the same price, yield-to-maturity, and modified duration. The benefit of greater convexity occurs when their yields-to-maturity change. And for the same increase in yield-to-maturity, the more convex bond depreciates less in price than the less convex bond.

考点:Bond Convexity and Convexity Adjustment

解析:凸度对于投资者来说是有利的,在其他条件相同时,债券凸度越大,对投资者越有利。当利率都上升10 bps时,凸度大的债券价格降幅更小,比凸度小的债券表现更好,故选项C正确。

那不管yield怎么变,是升是降,more convex的都要outperform less convex的?

1 个答案

品职答疑小助手雍 · 2024年08月28日

嗨,从没放弃的小努力你好:


是的,公式里都是那个1/2 *convexity*△y^2, convexity 越大这一项越大。

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