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梦梦 · 2024年09月28日

FRA求value为什么不用单利折现?

NO.PZ2023091802000087

问题如下:

ABC, Inc., entered a forward rate agreement (FRA) to receive a rate of 3.75%with continuous compounding on a principal of USD 1 million between the end of year 1 and the end of year 2. The zero rates are 3.25% and 3.50%for one and two years. What is the value of the FRA when the deal is just entered?

选项:

A.

USD 35,629

B.

USD 34,965

C.

USD 664

D.

USD 0

解释:

The market – implied forward rate is given by or F1,2 = 2 × 3.50 – 1 × 3.25 = 3.75%. Given that this is exactly equal to the quoted rate, the value must be zero. If instead this rate was 3.50%, for example, the value would be:

or F12

V = $1,000,000 × (3.75% – 3.50%) × (2 – 1) × e(-3.5% × 2) = 2,331

老师好,这道题扩展的求value

为什么不是用单利折现?而是用连续复利?

不管咋样,求得不是FRA的value?那不就应该用单利折线?

2 个答案

pzqa39 · 2024年10月06日

嗨,从没放弃的小努力你好:


是的没错,就是这句话里面的continuous compounding

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pzqa39 · 2024年09月29日

嗨,努力学习的PZer你好:


是的,如果题目中没有说明的话,正常都是用单利折现的,除非题目当中说明

这道题就是个特殊情况,题目要求用复利

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加油吧,让我们一起遇见更好的自己!

梦梦 · 2024年10月04日

是因为这句话吗“3.75%with continuous compounding on a principal of USD 1 million between the end of year 1 and the end of ye”

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