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shron · 2022年03月15日

问题

NO.PZ2019052801000129

问题如下:

An Chinese trade company mainly exports goods to US and gives 90 days credit term for US companies. The payment is settled in USD. The Chinese company worries that the USD will depreciate and would like to hedge the downside risk by entering a short forward. Domestic risk-free rate is 4% and foreign risk-free rate is 2%. The current spot rate is 6.7523¥per $. What is the price of the forward contract?  

选项:

A.

6.3827.

B.

6.7847.

C.

6.5827.

D.

6.6827.

解释:

B is correct.

考点:Foreign Exchange Risk

解析:中国公司会在90天后收到美元,但是担心未来美元会下跌,所以签订了一个short USD forward作为对冲。远期合约的价格应该等于:

FT=6.7523×1.0490/3651.0290/3656.7847F_T=6.7523\times\frac{1.04^{90/365}}{1.02^{90/365}}6.7847

请老师画图解析这个题目吧,不太明白谁是domestic rate谁是foreign rate?

1 个答案

品职答疑小助手雍 · 2022年03月15日

同学你好,题目主语是中国公司,那么domestic currency就是人民币,domestic rate也是就是人民币的利率,对应的foreign的就是美元以及美元的利率。

这题是个直接用利率平价公式求forward rate的定价问题,分子是本地货币,也就是人民币,分母是外币(美元)各自乘以各自的利率90天,获得未来汇率的期望就可以了。

不理解利率平价公式的可以看一下讲义238,以及这部分相关的基础班课程,这个部分挺重要的,如果上课没有理解的话我课下打字肯定不能像老师上课讲的那么细。

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