Future prices of a stock are modeled with a 1-period binomial tree based on forward prices, with the period being 3 months. You are given:

• The stock pays no dividends.
• The stocks initial price is 50.
• The continuously compounded risk-free interest rate is 4%.
• A European put option on the stock expiring in 3 months has strike price 48.

Determine the change in the price of the put if the stocks volatility increases from 20% to 30%.