$($ Financial Derivatives $)$ The price of a European call option on a stock with a strike price of $$50$ is $$7.$ The stock price is $$51,$ the continuously compounded risk$-$free rate $($all maturities$)$ is $6\%$ and the time to maturity is one year. A dividend of $$1$ is expected in six months. What is the price of a one$-$year European put option on the stock with a strike price of $$50?$