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
less than the spot level of
the UAX 300
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