In a financial market scenario, consider an investor who enters into a forward contract to buy 100 shares of XYZ Corporation at a forward price of $50 per share, with maturity set for one year from now. At the time of entering the contract, the stock is trading at $48 per share and dividends expected to be paid by XYZ Corporation over the next year are $2 per share. The risk-free rate is 5% per annum. The investor forecasts that by the end of the forward contract, the stock price will appreciate significantly, leading them to believe this could be a profitable trade.
What is the theoretical forward price of XYZ Corporation expected at maturity, considering both the risk-free rate and the dividends paid during the contract period?