Consider a futures contract on a commodity that is currently priced at $50 per unit. The risk-free interest rate is 4% per annum. The futures contract has a maturity of 6 months. You want to determine the theoretical price of this futures contract using the cost-of-carry model, which states that the futures price is determined by the spot price adjusted for the cost of carry, which in this case is only relevant to the financing cost due to the interest rate.
Using this information, calculate the theoretical futures price. Which of the following options represents the correct theoretical futures price?