Consider a 6-month futures contract on a financial asset with dividend yield q=3.96% per year. Risk free rate is 10% per year. Current value of an asset is S0=$25. What should be the 6-month futures price on this asset, if there is no convenience yield and storage costs?
We can calculate the future price of the financial asset using the given information as below
Price of Financial Asset after 6 months
= Current Price of Asset + ( Current Price of Asset*(Risk free Rate - Dividend Yield)*6/12 )
= 25 + (25*(10% - 3.96%)* 0.5)
= 25 + (25 * ( 6.04%) * 0.5)
= 25 + (1.51 * 0.5)
= 25 + 0.76
= $25.76
So, the Future price of the Financial Asset after 6 month come out to be $ 25.76
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