Explain how and why an increase in the current stock price and the strike price affects the prices of both call and put options, holding all other variables constant:

What is a lower bound for the price of a nine-month European put option on a non-dividendpaying stock when the stock price is $65, the strike price is $69, and the risk-free interest rate is 5% per annum?

What is a lower bound for the price of a nine-month European call option on a non-dividendpaying stock when the stock price is $75, the strike price is $70, and the risk-free interest rate is 8% per annum?