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miao999 · 2022年02月20日

你好,没看懂题意,也没看懂为什么是第18个月交割,请帮我解析一下

NO.PZ2020021204000020

问题如下:

In an FRA, an annualized rate of 3% will be received and six-month LIBOR will be paid on a principal of USD 5,000,000 for a six-month period starting in 18 months. If the annualized six-month forward rate in 18 months proves to be 3.5%, what is the settlement on the FRA? When is it made?

选项:

解释:

The USD settlement in 18 months is

((0.03 - 0.035) X 0.5 X 5,000,000)/(1 + 0.035 /2 )= -12285

It is settled in 18 months.

你好,没看懂题意,也没看懂为什么是第18个月交割,请帮我解析一下

1 个答案
已采纳答案

品职答疑小助手雍 · 2022年02月20日

同学你好,FRA的定义就是如此,“ an annualized rate of 3% will be received and six-month LIBOR will be paid on a principal of USD 5,000,000 for a six-month period”是交易的内容,starting in 18 months是结算的时间。

FRA是赌的是未来(18个月后)的借款交易,18个月后你以3%的年利率借给别人(半年时间)钱的意思,过了18个月市场利率是3.5%,也就是这笔交易你借给别人钱的利率比市场还便宜0.5%,这意味着这赌的结果你亏了0.5%的利息,但是这个利息是半年后支付的,所以算出这0.5%利息之后要以市场利率折现半年,你就把这笔钱赔给交易对手方就可以了(你亏的钱在18个月那个节点上的现值直接结算)。

其实既然提问这个问题了,意味着你对FRA的定义没有了解,建议去听一下Section 19的Forward Rate Agreement

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