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华赞 · 2023年03月13日

是否能用老师的推导方式答题

NO.PZ2020012005000034

问题如下:

If the current spot price of gold is USD 1,250, the one-year futures price of gold is USD 1,300, and the risk-free rate is 5% per annum (annually compounded), what is an estimate of the implied gold lease rate?

解释:

Let l be the implied gold lease rate (annually com-pounded). Then:

1,300=1,250(1.051+l)1,300 = 1,250 * (\frac{1.05}{1+l})

so that

l =1,250* 1.05/ 1,300 - 1 = 0.0096

that is, the implied lease rate is 0.96%.

1250/(1+5%)=1300/(1+L)

1+l=(1300/1250)*1.05

l=0.92

1 个答案

品职答疑小助手雍 · 2023年03月13日

同学你好,大致思路类似,不过你列这个式子是不对的,应该是1250/(1+L)= 1300/(1+5%)。