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cy g. · 2024年02月13日

为什么不用s&p 500 的 multiple 250. 而用 s&p e mini 呢?

NO.PZ2019012201000048

问题如下:

After determining Winthrop’s objectives and constraints, the CAD147 million portfolio’s new strategic policy is to target long-term market returns while being fully invested at all times. Tong recommends quarterly rebalancing, currency hedging, and a composite benchmark composed of equity and fixed-income indexes. Currently the USD is worth CAD1.2930, and this exchange rate is expected to remain stable during the next month. Exhibit 2 presents the strategic asset allocation and benchmark weights.

In one month, Winthrop will receive a performance bonus of USD5,750,000. He believes that the US equity market is likely to increase during this timeframe. To take advantage of Winthrop’s market outlook, he instructs Tong to immediately initiate an equity transaction using the S&P 500 futures contract with a current price of 2,464.29 while respecting the policy weights in Exhibit 2. The S&P 500 futures contract multiplier is 250, and the S&P 500 E-mini multiplier is 50.

In preparation for receipt of the performance bonus, Tong should immediately:

选项:

A.

buy two US E-mini equity futures contracts

B.

sell nine US E-mini equity futures contracts

C.

buy seven US E-mini equity futures contracts

解释:

The amount of the performance bonus that will be received in one month (USD5,750,000) needs to be invested passively based upon the strategic allocation recommended by Tong. Using the strategic allocation of the portfolio, 15% (USD862,500.00) should be allocated to US equity exposure using the S&P 500 E-mini contract, which trades in US dollars. Because the futures price is 2,464.29 and the S&P 500 E-mini multiplier is 50, the contract unit value is USD123,214.50 (2,464.29 × 50).

The correct number of futures contracts is (5,750,000.00 × 0.15)/123,214.50 = 7.00.

Therefore, Tong will buy seven S&P 500 E-mini futures contracts.

能不能讲一下这题的解题思路是什么

1 个答案

笛子_品职助教 · 2024年02月13日

嗨,努力学习的PZer你好:


也可以用sp500期货做对冲,只是三个选项都是E-mini,所以我们只能计算,用E-mini对冲的情形。


这道题的含义是,未来有5,750,000.00 × 0.15的钱要进股市。但这个钱现在没有,未来才到账。


投资者担心,在到账前,股市就涨了,错过了一波牛市。


问,投资者该如何办。


投资者此时可以买入股指期货,这样就不会错过股市上涨。


1张期货合约市值2,464.29 × 50,要买多少张期货合约呢,要买7张E-mini sp500期货。


The correct number of futures contracts is (5,750,000.00 × 0.15)/123,214.50 = 7.00.

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