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不忘初心 · 2024年02月06日

为什么是long呢?

NO.PZ2019052801000026

问题如下:

Suppose we have a well-diversified $100 million equity portfolio. The portfolio beta relative to the S&P 500 is 1.2. The current value of the 3-month S&P 500 Index is 1,000. The multiplier is 250. If we want to adjust the portfolio beta to 1.8, how many S&P 500 contracts we need?

选项:

A.

long 200 contracts.

B.

long 220 contracts.

C.

long 280 contracts.

D.

long 240 contracts.

解释:

D is correct.

考点:Hedging With Stock Index Futures

解析:

(1.81.2)100,000,001,000×250=0.6×400=240(1.8-1.2)\frac{100,000,00}{1,000\times250}=0.6\times400=240

where beta = 1.2, target beta = 1.8, A = 250 x 1,000, P = $100 million

 we have a well-diversified $100 million equity portfolio. 担心股票下跌对吗? 担心——发生收益的hedge,是这样吗?为什么不是short 240, 而是long呢?

1 个答案

DD仔_品职助教 · 2024年02月06日

嗨,爱思考的PZer你好:


目前的beta是1.2,目标beta是1.8,只有long stock可以达到这个目的

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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NO.PZ2019052801000026问题如下Suppose we have a well-versifie$100 million equity portfolio. The portfolio beta relative to the S P 500 is 1.2. The current value of the 3-month S P 500 Inx is 1,000. The multiplier is 250. If we want to aust the portfolio beta to 1.8, how many S P 500 contracts we neeA.long 200 contracts.B.long 220 contracts.C.long 280 contracts.long 240 contracts.is correct.考点Heing With StoInx Futures解析(1.8−1.2)100,000,001,000×250=0.6×400=240(1.8-1.2)\frac{100,000,00}{1,000\times250}=0.6\times400=240(1.8−1.2)1,000×250100,000,00​=0.6×400=240where beta = 1.2, target beta = 1.8, A = 250 x 1,000, P = $100 million稍微较个真, 贝塔数学角度理解就是因变量相对于某个自变量单位变化的变动,按道理不管咋弄因变量还是那个熟悉,贝塔不会变呀。

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