NO.PZ2018113001000003
问题如下:
A $100 million pension fund with 80% stock and 20% bond. The beta of equity portion is 1.2 and the duration of bond portion is 5.0. In order to adjust the allocation to 60% stock and 40% bond, the number of stock index futures needed to sell is? Based on the following information:
- The stock index value is at 1,200, multiplier is $250, the beta is 0.95
- The price of bond futures contract is $105,300 with an implied modified duration of 6.5.
选项:
A. -88
B. -84
C. -95
解释:
B is correct.
考点:用futures contract 调整组合的头寸
解析:
现需要将股票头寸从80%降至60%,即需要将20%*100,000,000=$20,000,000的股票的beta调整为0(转成cash)
需要的stock index futures contract数量为:
因此,需要卖出84份股票期货合约。
我理解的是期初stock有80m要把它调成target的60m,所以80m*1.2- Nf*1200*250*0.95=60m*1.2,请问这样对不对?