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aileen20180623 · 2024年01月31日

您好

NO.PZ2023020101000003

问题如下:

Ryan Parisi is a managing director in the derivatives group at High Ridge Partners, an investment management firm. Parisi specializes in advising institutional clients on the use of forward contracts in their portfolio management strategies. Parisi is preparing a response to questions from one of the firm’s US-based clients: Leslie Sheroda. Todd Curry, an intern in the derivatives group, will assist Parisi.

Leslie Sheroda oversees both equity and fixed-income portfolios for a pension fund. One month (30 days) ago, Sheroda had indicated that the pension fund expected a large inflow of cash in 60 days. In order to hedge against a potential rise in equity values over this period, Parisi advised Sheroda to enter into a long forward contract on the UAX 300 Index expiring in 60 days.

Prior to the meeting, Parisi shows the spot price of the UAX 300 index in Exhibit 1 to Curry and asks how the 30-day forward price will relate to the current level of the index. Curry compares the spot index to the forward price.

Exhibit 1: Selected Financial Information for Sheroda Meeting

Curry’s best answer to Parisi’s first question is: “Given the information in Exhibit 1, the 30-day UAX 300 forward price will be:

选项:

A.

greater than the spot level of the UAX 300

B.

less than the spot level of the UAX 300

C.

equal to the spot level of the UAX 300

解释:

A is correct. Since the dividend rate is less than the interest rate, the costs of carry will exceed the benefits of carry, so the forward price will be greater than the spot. In this case the forward price will be:

F0(T) = S0e(rc–γ)T = 1450.82e(0.0392–0.025)(30/360) = 1,452.54

您好,我其实用的是1403.22,因为考虑到现在是30天之后的时间点,用的F0*e^(RF-DIV)90-60与现在30天现在的时间点1450对比,但我发现答案的解释和我不太一样,我在想,这题我哪里错了?

1 个答案

pzqa35 · 2024年01月31日

嗨,从没放弃的小努力你好:


这道题首先有表述到“the 30-day forward price will relate to the current level of the index”也就是说这个FP的是当前时刻开始30天到期的forward的定价,和当前spot进行比较谁大谁小。其实这个题目我们看到rf大于dividend就可以判断得出FP是比较大的,因为F0(T) = S0e(rc–γ)T,1403.22是在0时刻签约,60天到期的forward price,它基于的就是0时刻的index,所以不是题目要求的当前时刻的index,同时,0时刻签订的合约在30天的时间点我们一般也是求value,而不是求forward price。

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