The stock of Company ABC is currently trading at a price of $50. According to analyst forecasts, the share price will be either $45 or $55 at the end of six months. Suppose that the risk-free interest rate is 10% per annum with continuous compounding. What is the value of a six-month European put option with a strike price of $50 using the Delta-hedging method? Verify your result using the Risk-neutral method.