Consider the "SINDY index" obtained by averaging stock prices and a synthetic index "SINDY spot" that replicates its performance.SINDY's current level I is 11,000 and the synthetic index's price S is $11,000.Stocks constituting SINDY spot paid $200 of dividends last year and are expected to pay the same this year.Let the continuously compounded interest rate r be 5 percent per year.If the six-month forward price on a newly written forward contract on SINDY is being quoted in the market for 11,200,then the arbitrage profit that you can make today by trading one contract as well as other securities is:

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Quizplus · Accepted Answer

The fair forward price should be calculated using the formula: Forward Price = Spot Price * e^(r*t) - Dividends. Here, Spot Price = $11,000, r = 0.05, t = 0.5 years, and Dividends = $200. The fair forward price is $11,000 * e^(0.05*0.5) - $200 ≈ $11,183. The quoted forward price is $11,200, so the arbitrage profit is $11,200 - $11,183 = $17.

Consider the "SINDY Index" Obtained by Averaging Stock Prices and a Synthetic