
Explanation:
C is correct. We first need to calculate the forward price:
F = S * [(1 + R) / (1 + Q)]^T
= 67.68 * [(1 − 0.70%) / (1 + 0.44%)]^2
= USD 66.15
For an existing contract, the value is:
Value = S / (1 + Q)^T − K / (1 + R)
If R changes by 1%, the new forward price becomes:
F = 67.68 * [(1 + 0.30%) / (1 + 0.44%)]^2
= USD 67.49
Difference = 67.49 − 66.15 = USD 1.34
Value change = 1.34 / (1 + 0.3%)^2 = 1.33
A is incorrect: −USD 1.46 is the result if R & Q are mixed up.
B is incorrect: −USD 1.37 is the result of the change in the risk‑neutral forward price if R & Q are mixed.
D is incorrect: USD 1.43 is the change in the risk‑neutral forward price for the equity.
Ultimate access to all questions.
A risk manager for an asset management firm is conducting scenario analysis on the valuation of a 2-year forward contract on stock MTE assuming a potential change in interest rates. The manager has the following information:
Assuming the forward contract is currently fairly priced, and all dividends are reinvested into stock MTE, what is the best estimate of the change in the value of the forward contract (per share of MTE) if the risk-free rate of interest were to immediately increase by 1%?
A
USD -1.46
B
USD -1.37
C
USD 1.33
D
USD 1.43