Using Put$-$Call Parity for Implied Volatility: Suppose the market prices of the European call and put

options with the same strike price and time to maturity are call mkt price$=7$ and put market price $=5,$ respectively,

and the stock price is $$49.$ If the risk$-$free rate is $5\%$ for the maturity period, and no dividends are

paid, confirm that the implied volatilities of the call and put options are the same using the put$-$call

parity relationship