Futures Contract Pricing

A futures contract is a standardized agreement between two parties to buy or sell an underlying asset at a predetermined price at a specified future date. It is important for traders to understand how pricing works for these contracts.

Consider the following scenario: A trader enters into a futures contract today to buy a commodity at a price of $50 per unit, with the delivery date set for six months from now. If the risk-free interest rate is 4% per annum, what is the theoretical futures price of this commodity at the end of the six-month period, assuming no other costs or storage fees are involved?