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dongzo09 · 2022年05月02日

课后题

An analyst manages an active fixed-income fund that is benchmarked to the Bloomberg Barclays US Treasury Index. This index of US government bonds currently has a modified portfolio duration of 7.25 and an average maturity of 8.5 years. The yield curve is upward-sloping and expected to remain unchanged. Which of the following is the least attractive portfolio positioning strategy in a static curve environment?

  1. Purchasing a 10-year zero-coupon bond with a yield of 2% and a price of 82.035
  2. Entering a pay-fixed, 30-year USD interest rate swap
  3. Purchasing a 20-year Treasury and financing it in the repo market


这道题答案里写的

The 30-year pay-fixed swap is a “short” duration position and also results in negative carry (that is, the fixed rate paid would exceed MRR received) in an upward-sloping yield curve environment;

请问为什么fixed rate paid exceed mrr呢

既然收益率曲线向上,未来的的mrr是上涨,fixed rate应该小于未来收到的mrr

感谢解答!

2 个答案

pzqa015 · 2022年05月03日

嗨,努力学习的PZer你好:


fixed rate一般是长期利率,MRR是短期利率,所以,收益率曲线如果向上倾斜,则fixed rate是大于MRR的。

收益率曲线向上倾斜并不意味着未来MRR上涨,题目说了,static yield curve,所以,无论什么时候,MRR都与现在的值一样。而不会上涨,如果预测收益率曲线向上(dynamic),那么MRR会变大。

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pzqa015 · 2022年05月03日

嗨,爱思考的PZer你好:


这道题考察的是static yield curve下的策略

我们应该增加duration

pay fixed swap是降低duration,所以不正确

第一项与第三项,都会增加duration,所以attractive。

关于static yield curve下的策略,详见下图

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