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Hazel · 2024年02月26日

计算浮动利率债卷的value

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.

在节点,浮动利率会回归面值。而之前在计算浮动利率债卷的value时,在节点的现金流除了面值,还有f(90)的现金流(比如每90天交换)。请问什么时候现金流只考虑面值,什么时候需要加上f(90)的现金流啊?

1 个答案

品职答疑小助手雍 · 2024年02月27日

同学你好,一般算swap value的话,都是以刚刚付完息,不考虑当期的那笔交换的现金流的。

除非有特殊说明才会考虑刚过付息日的那笔现金流,如果之前有题目是加了现金流的,那就单独分析那道题的情况了。

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