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dejiazheng · 2023年11月03日

能否用画图法再对答案进行解析?

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

不理解答案给出的公式含义

1 个答案

pzqa35 · 2023年11月06日

嗨,努力学习的PZer你好:


这道题是用连续复利来求股指forward的定价问题:

直接带入公式计算即可。这里是利用了指数运算,将股利支付率直接从无风险收益中减去,就相当于我们在计算非连续复利是用S0减去PVD的操作然后在乘以(1+rf)^T是一样的。

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