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lesley_826 · 2023年03月01日

这道题的分子计算我能明白,我不明白的是为什么折现的时候,去年化的时候是3/12,难道不应该是60天吗?去年化的分母为什么不是用(1+1.5%*60/360)

NO.PZ2019010402000015

问题如下:

The company enters into a $100,000,000 notional amount 2 × 5 receive-fixed FRA that is advanced set, advanced settled. The appropriate discount rate for the FRA settlement cash flows is 1.5%. After 60 days, 90-day Libor is 0.80%, 60-day Libor is 0.7%.

If the FRA was initially priced at 1.20%, the payment received to settle the 2 × 5 FRA will be:

选项:

A.

100,000

B.

99,626

C.

99,800

解释:

B is correct.

考点:FRA settlement

解析:

payment received=(1.2%0.8%)×312×100,000,0001+1.50%×312=99,626.4payment\text{ }received=\frac{(1.2\%-0.8\%)\times\frac3{12}\times100,000,000}{1+1.50\%\times\frac3{12}}=99,626.4

注:题目中特别说明了折现率是1.5%,所以直接用1.5%折现,不用90天的LIBOR折现。

这道题的分子计算我能明白,我不明白的是为什么折现的时候,去年化的时候是3/12,难道不应该是60天吗?去年化的分母为什么不是用(1+1.5%*60/360)

1 个答案

Lucky_品职助教 · 2023年03月03日

嗨,从没放弃的小努力你好:


折现是从5折到2,所以是3个月哦。0-2是FRA合约期,2-5是FRA合约约定的利率生效期,因此是折现2-5这个区间

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