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lcrcp3 · 2023年08月17日

这题时间轴到底是怎么样的?

NO.PZ2023020101000016

问题如下:

Mehta, who is based in Hong Kong SAR and requires a €25,000,000 one-year bridge loan to fund operations in Germany. He wants to fund this loan at a competitive rate. Riley advises Mehta to borrow in HK dollars and enter into a one-year foreign currency swap to swap into euros. The current exchange rate is HK$9.15 per euro. Exhibit 1 below provides Hong Kong and euro spot interest rates and present value factors.

Exhibit 1: Hong Kong and Euro Spot Interest Rates

Based on the information in Exhibit 1, the annual fixed swap rate Mehta would pay is closest to

选项:

A.

0.48%.

B.

0.92%.

C.

1.88%.

解释:

PV factors for HK dollar are provided along with an explanation of how they are calculated:

For example, PV(90) is calculated as follows:

11+0.006190360=0.9985\frac1{1+0.0061\ast\frac{90}{360}}=0.9985

Other present value factors are calculated in a similar manner.

The fixed rate is calculated as follows:

1.00.99070.9985+0.9962+0.9937+0.9907=0.0023\frac{1.0-0.9907}{0.9985+0.9962+0.9937+0.9907}=0.0023

The annualized rate = 0.0023 × 4 = 0.0092.

题目里90,180,270,360说的是days to maturity,也就是距离到期日还有90天,180天,270天,360天,上课画的时间轴90,180,270,360都是时间点,如果按题里的说法90days to maturity应该是270的时间点,那360days to maturity就应该是0时间点,所以按时间点画时间轴的话应该是0,90,180,270这四个时间点有利率,而最后到期日360时间点没有利率?

1 个答案

Lucky_品职助教 · 2023年08月18日

嗨,努力学习的PZer你好:


这里days to maturity不是说距离swap合约到期多少天,而是在描述从现在开始到n天,期间的利率是多少,

也就是说这个maturity 对应的不是swap的到期日,而是后续跟着的利率的时间结束点。

在我们的教材中出现类似的表格时都是这样理解,这里确实比较容易混淆,我再截取一张教材上类似的图表给你参考

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