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A one year gold futures contract is priced in the market at $1558. The current spot price of gold is $1500. A one year risk

A one year gold futures contract is priced in the market at $1558. The current spot price of gold is $1500.
A one year risk free rate is four percent.
a) Calculate the arbitrage free futures price
b) If there is mispricing, what strategy would you employ to take advantage of the mispricing? Be specific
c) If there is mispricing, what would your profits be?

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