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jojo · 2025年04月22日

这题用画图大法要怎么来?

NO.PZ2023091802000049

问题如下:

Three months ago, a company entered in a one-year forward contract to buy 100 ounces of gold. At the time, the one-year forward price was USD 1,000 per ounce. The nine-month forward price of gold is now USD 1,050 per ounce. The continuously-compounded risk-free rate is 4% per year for all maturities, and there are no storage costs. Which of the following is closest to the value of the contract? (Practice Exam)

选项:

A.

USD 1,897

B.

USD 4,852

C.

USD 5,000

D.

USD 7,955

解释:

Explanation: The forward price is computed as follows:

F = 100 x (F0 - K)e-rT

F = 1,050

K = 1,000

r = 0.04

T = 0.75

F = 100 x (1050 - 1000)e-0.04*0.75 = 4,852

老师救救,孩子已经把画图大法还给老李了,翻出了以前的笔记还是一头雾水。


是不是没有给出T=t=3个月时刻的重新定价-St,所以用不了画图大法?

已知条件:

1000=F0(12)

1050=F3(12)

rf=4%




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