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水瓶公主 · 2023年03月07日

这道题和讲义里那道,用浮动利率和固定利率差值计算出的coupon,再用固定利率折现那道题,有什么区别

NO.PZ2016082402000065

问题如下:

A bank entered into a three-year interest rate swap for a notional amount of USD 250 million, paying a fixed rate of 7.5% and receiving LIBOR annually. Just after the payment was made at the end of the first year, the continuously compounded spot one-year and two-year LIBOR rates are 8% and 8.5%, respectively. The value of the swap at that time is closest to

选项:

A.

USD 14 million

B.

USD -6 million

C.

USD -14 million

D.

USD 6 million

解释:

ANSWER: D

This question differs from the previous one, which gave the swap rate. Here, we have the spot rates for maturities of one and two years. The coupon is 7.5. The net present value (NPV) of the payments is then V=$18.75e1×8%+($250+$18.75)e2×8.5%=$244million.V=\$18.75e^{-1\times8\%}+{(\$250+\$18.75)}e^{-2\times8.5\%}=\$244million. Right after the reset, the value of the FRN is $250 million, leading to a gain of $6 million. This is a gain because the bank must pay a fixed rate but current rates are higher.

只用画两年现金流就可以了吗

1 个答案

DD仔_品职助教 · 2023年03月08日

嗨,努力学习的PZer你好:


同学你好,

算出差值再折现的方法也可以做,但是不推荐,计算有误差,因为浮动利率债券每期reset 利率,价格就会回归面值。具体题型可以参考下图两种方法的区别:

只花两年现金流的原因是题目说了Just after the payment was made at the end of the first year,所以我们站在1时刻

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