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sliang · 2024年12月28日

fixed income- callable bond

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.

可以再解释一下trade 1 为什么可以做么?

题目预测利率下降,要想赚钱,就要增加duration。trade 1中的long non-callable bond是增加的duration的。但是short callable bond不是减少duration的么?而且利率下降,callable还是non-callable的price都是上涨的,只是callable bond涨的少或者被cap住了,而non-call bond涨的会相对来说多一点。但是price肯定不是下跌的,那么请问如果是short position且price不下跌的话,怎么赚钱呢?

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