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YolandaQ · 2023年09月27日

请问initial forward price

NO.PZ2019010402000007

问题如下:

A manager sold an equity forward contract one month ago. The maturity of forward contract is three months. A dividend of $1 will be paid in one month before contract expiration. The annually compounded risk-free rate is 3%. The current spot price of underlying is $56, and the initial forward price is $60. The value of the manager’s position is:

选项:

A.

-4.7026

B.

4.7026

C.

4.8512

解释:

B is correct.

考点:equity forward contract求value

解析:

画图(long方):

valuelong=(561(1+3%)1/12)60(1+3%)2/12=4.7026value_{long}=(56-\frac1{{(1+3\%)}^{1/12}})-\frac{60}{{(1+3\%)}^{2/12}}=-4.7026

因为这一题的头寸是short方,所以value=4.7026

是不是就是公式里的F(T)

那么F0(T)和F(T)在题目表述中一般都分别是怎么表述 有什么区别啊

1 个答案
已采纳答案

pzqa35 · 2023年09月27日

嗨,从没放弃的小努力你好:


F0(T)是指在0时刻签约的forward price,the initial forward price is $60这句就是说明F0(T)=FP0=60,公式里的是FP,current spot price of underlying is $56是说St=56. 题目中的表述我们可以看对于时间点的描述,如果出现initial,或者说是0时刻签约的价格,就是F0(T)=FP0,如果说过了1个月之后的合约现在价格是那就是F1(T)=FP1,是在1时刻签订的T时刻到期的合约价格。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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