You are given the following information regarding the S&P 500 index: The current price is 4,000.

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Question:

You are given the following information regarding the S&P 500 index:
 The current price is 4,000.
 The 2-year forward price is 4,100.
 The continuously compounded risk free rate is 4%.
Determine:
a. The 6-month forward price.
b. The continuously-compounded dividend yield.