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梦梦 · 2024年07月03日

resetday

NO.PZ2019052801000049

问题如下:

A bank entered into a swap with two years to maturity as a floating rate payer. The fixed rate is 4%, with annal payments. The notional priciple is $5,000,000. The spot interest rates are as follows: one year, 3.5%; two years, 4.5%. Today is the reset day, the current value of the swap is closest to:

选项:

A.

$54,437.

B.

$-54,437.

C.

-$30,125.

D.

$30,125.

解释:

B is correct.

考点:利率互换估值.

解析:

支浮动的一方可以看作一个浮动利率债券,浮动利率债券在reset day 价值回归面值。

收固定的一方可以看作一个固定利率债券,

Bfix  =0.04e0.035+1.04e0.045×2=0.989113B_{fix}\;=0.04e^{-0.035}+1.04e^{-0.045\times2}\\=0.989113

lV=(0.9891131)×5,000,000=54,437{l}\\V=(0.989113-1)\times5,000,000=-54,437

老师,题目里的“Today is the reset day”是什么意思啊?

3 个答案

品职答疑小助手雍 · 2024年07月06日

2、用离散的复利也可以,不影响选项结果。

品职答疑小助手雍 · 2024年07月06日

1、题目第一句话就说了进入了一个2年的swap,求的不是2年的value,而是当前value。 根据这些线索提问“是求第二年末的value?”是一个很奇怪的提问,不知道你是没有理解swap的意思,还是没有看题目的条件。

梦梦 · 2024年07月06日

没看懂题目,也就是求0时刻

品职答疑小助手雍 · 2024年07月04日

同学你好,就是今天刚刚互换了一次,现在要计算今天互换完之后,swap的value。

梦梦 · 2024年07月06日

1、那这道题哪里能看出来是求第二年末的value?2、这道题哪里能看出来是用连续复利?spot rate 只是说了零息债利率呀。

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NO.PZ2019052801000049 问题如下 A bank entereinto a swwith two years to maturity a floating rate payer. The fixerate is 4%, with annpayments. The notionpriciple is $5,000,000. The spot interest rates are follows: one year, 3.5%; two years, 4.5%. Toy is the reset y, the current value of the sw is closest to: A.$54,437. B.$-54,437. C.-$30,125. $30,125. B is correct.考点利率互换估值.解析支浮动的一方可以看作一个浮动利率债券,浮动利率债券在reset y 价值回归面值。收固定的一方可以看作一个固定利率债券,Bfix  =0.04e−0.035+1.04e−0.045×2=0.989113B_{fix}\;=0.04e^{-0.035}+1.04e^{-0.045\times2}\\=0.989113Bfix​=0.04e−0.035+1.04e−0.045×2=0.989113lV=(0.989113−1)×5,000,000=−54,437{l}\\V=(0.989113-1)\times5,000,000=-54,437lV=(0.989113−1)×5,000,000=−54,437 比如,本题是floating payer,最终是用计算出的fix现金流的现值-面值1,为什么不是用1-fix现值呢,谢谢

2024-09-08 12:59 1 · 回答

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NO.PZ2019052801000049 问题如下 A bank entereinto a swwith two years to maturity a floating rate payer. The fixerate is 4%, with annpayments. The notionpriciple is $5,000,000. The spot interest rates are follows: one year, 3.5%; two years, 4.5%. Toy is the reset y, the current value of the sw is closest to: A.$54,437. B.$-54,437. C.-$30,125. $30,125. B is correct.考点利率互换估值.解析支浮动的一方可以看作一个浮动利率债券,浮动利率债券在reset y 价值回归面值。收固定的一方可以看作一个固定利率债券,Bfix  =0.04e−0.035+1.04e−0.045×2=0.989113B_{fix}\;=0.04e^{-0.035}+1.04e^{-0.045\times2}\\=0.989113Bfix​=0.04e−0.035+1.04e−0.045×2=0.989113lV=(0.989113−1)×5,000,000=−54,437{l}\\V=(0.989113-1)\times5,000,000=-54,437lV=(0.989113−1)×5,000,000=−54,437

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