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Taryn · 2025年01月18日

原因不一样, 但结论一样

NO.PZ2023032703000095

问题如下:

The conversation next turns to the state of the economy. Another member of Thorn’s team, David Yung, concludes that the economy will weaken, causing the yield curve to experience a downward parallel shift. Yung proposes two trades.

l Trade 1: Sell a 5-year A-rated callable corporate bond, Buy a 5-year A-rated non-callable bond of the same issuer

l Trade 2: Sell a 10-year fixed-rate corporate bond, Buy a 10-year floating-rate bond of the same issuer

Determine, given Yung’s conclusions, whether each of his proposed trades would most likely be profitable. Justify each response.

选项:

解释:

Correct Answer:

Trade 1 should be executed. Interest rates decline when the economy weakens. Due to negative convexity, callable bonds underperform non-callable bonds during periods of declining interest rates. Callable bonds have a price limit imposed by the call price. Consequently, the bond would most likely be called when rates decline. The trade will, therefore, be profitable.

Trade 2 should not be executed. Given Yung’s economic outlook and anticipation of a parallel downward shift in the yield curve, duration should be increased, not decreased. Fixed-rate bonds have higher duration than floating-rate bonds as coupons are fixed rather than adjusting periodically to market interest rates. Selling higher-duration bonds to invest in lower-duration bonds as rates decline would not be appropriate.

老师请问这一题, 这样写可以吗? 解释原因和答案的要点不一样


Trade 1: It may be profitable.

Because callable corporate bond is negatively convex, when the yield curve experiences a downward parallel shift, the price of callable bond will be lower than the price of a non-callable bond of the same issuer. So it may be profitable to implement trade 1.


Trade 2: It may be not profitable.

when the yield curve experiences a downward parallel shift, the market is bullish for bonds. But a 10-year floating-rate bond has a floating-rate coupon which will decrease as well, at this time its price will lower than a 10-year fixed-rate corporate bond. 

2 个答案

发亮_品职助教 · 2025年01月20日

trade 1的回复可以拿到分。

trade 2的结论是对的,解释原理的力度有点弱。可能会扣一点分。

发亮_品职助教 · 2025年01月20日

Trade 1要回复到,在利率下降的时候,callable bond的价格上升金额低,低于non-callable bond的价格上升幅度

所以,基于利率下降的预期,投资non-callable bond的盈利更大。


Because callable corporate bond is negatively convex, when the yield curve experiences a downward parallel shift, the price of callable bond will be lower than the price of a non-callable bond of the same issuer. So it may be profitable to implement trade 1.


这个回复整体OK,可以拿到分,但标红这句改一下会更好,改成:


the price appreciation of callable bond will be lower than the price of a non-callable bond of the same issuer.


加一个appreciation明确就是callable的价差盈利低于non-callable。


Trade 2要回复到:floating rate bond的duration更低,低于fixed rate bond。在利率下降时,应该是增加组合的duration。而卖出fixed rate bond,买入floating rate bond,会降低组合的duration。所以盈利变少。


回复改成这样:


When the yield curve experiences a downward parallel shift, we should increase portfolio duration to achieve more capital gains.


The portfolio duration will be decreased by selling the 10-year fixed-rate bond and buying the10-year floating-rate bond.

This would not be profitable when the interest rate declines.


需要注意的是,trade 2的主要影响是duration,虽然floating-rate债券的coupon也会有一定影响,但是这个影响太小了,远远低于duration带来的价差影响。所以这道题必须要回复到duration改变带来的影响。coupon的影响可以不提。

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2024-12-28 06:43 1 · 回答