4. (5 points) The S&P 500 index is currently trading at 3,000. A large proportion of...

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4. (5 points) The S&P 500 index is currently trading at 3,000. A large proportion of stocks in this index pay dividends. You are given the following information on 1 year European options on the index: Option type Strike Maturity (years) Option price Call Put 3,000 1 3,000 1 435 459 The 1 year riskfree rate (simple compounding) is 4%. What is the no-arbitrage present value of the dividends that will be paid on the index over the next year? 4. (5 points) The S&P 500 index is currently trading at 3,000. A large proportion of stocks in this index pay dividends. You are given the following information on 1 year European options on the index: Option type Strike Maturity (years) Option price Call Put 3,000 1 3,000 1 435 459 The 1 year riskfree rate (simple compounding) is 4%. What is the no-arbitrage present value of the dividends that will be paid on the index over the next year?