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Carolyne · 2024年03月04日

重新定价法

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

这道题可以用重新定价法吗 怎么算 谢谢

3 个答案
已采纳答案

pzqa35 · 2024年03月06日

嗨,努力学习的PZer你好:


我们重新来梳理一下这道题哈。这道题是说为了避免未来股价上升的风险,这个基金进入了一个long  UAX 300 Index的forward合约中,这个合约的期限是60天。在30天之后,也就是当前时间点,他们想知道同样是在当前时间点UAX 300 Index的forward,到期日为30天的定价。那么在求定价这个问题中,是不涉及重新估值法的,因为重新估值法的本质就是签一个反向对冲合约,来假定如果在t时刻结束0时刻签订的合约时,能够得到多少的收益。所以重新估值法的计算公式就是:(FPt-FP0)/(1+rf)T-t,那么这道题其实让我们求的就是FPt这个值,也就是Ft(T) = S0e(rc–γ)T = 1450.82e(0.0392–0.025)(30/360) = 1,452.54。

其次同学(X-1403.22)/(1+rf)^30/365=96.31这个公式中,前半部分是对的哈,但是这个和96.31时没有关系的,96.31是另一个forward CHJ的一个定价,这道题中没有提到CHJ的相关问题,所以不是根据这个去反解出X就是UAX的FPt的。

最后分母这部分,只是用来折现的,所以不需要减去分红率这些进行调整哈。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

pzqa35 · 2024年03月05日

嗨,爱思考的PZer你好:


这道题如果是站在30天这个时间点,来求这个在0时刻签订的60天到期的UAX300 forward的value,同学的这个value计算公式就是对的,是重新定价法求value的计算,但是要注意这里使用的是连续复利,所以折现的时候也要使用的是连续复利哈。

这个X的话就是我们站在30这个时间点,求30天后到期的UAX300 forward的定价,也就是我们题目中所要求求解的答案哈。

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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!

Carolyne · 2024年03月06日

即便用了连续复利 但是按照重新定价法求的话 得1499啊,另外请问分母的复利里,请问是否要减去分红率?请问按照重新定价法具体怎么得出答案

pzqa35 · 2024年03月04日

嗨,爱思考的PZer你好:


这道题是要求定价的一道题目哈,直接利用定价公式带入求解即可,重新定价法是我们在t时刻求value时才会使用到的,不是定价的题目哈。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Carolyne · 2024年03月04日

(X-1403.22)/(1+rf)^30/365=96.31, 重新定价法 求出X. 这样对不对

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