Derive and interpret the lower bound for a European put option written on a non-dividend paying stock.

The stock of VM Ltd. currently trades at $309.50 and the company is committed to paying dividends of $20 three months from now. A 6-month European put contract written on the stock, with a strike price of $300, is trading at $23.65. The risk-free rate is 5% per annum with continuous compounding for all maturities. What is the price of a European call written on the same stock, with the same strike price and same time to maturity?