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逢考必过过过过过过 · 2022年08月11日

问一道题:NO.PZ2019010402000002 [ CFA II ]

问题如下:

A stock index futures contract has a remaining maturity of two months. The continuously compounded annual risk-free rate is 0.25%, and the continuously compounded dividend yield on stock index is 0.8%. The current index level is 1,350. The no-arbitrage futures price is:

选项:

A.

1347.84

B.

1,351.23

C.

1,348.76

解释:

C is correct.

考点:stock index futures定价

解析:

F0(T)=1350×e(0.25%0.8%)×(60/360)=1,348.76F_0(T)=1350\times e^{(0.25\%-0.8\%)}\times^{(60/360)}=1,348.76

实在不好意思,想问下这道题计算器怎么按………因为0.25小于0.8,开方会报错啊……
1 个答案

Lucky_品职助教 · 2022年08月11日

嗨,爱思考的PZer你好:


e^(0.25%-0.8%),就是e^(0.8%-0.25%)的倒数~

算完e^(0.8%-0.25%),按计算器上1/X就行

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