# Replicating portfolios [closed]

Prices of a stock are modeled using a two-period binomial tree, with each period being six months.

The continuously compounded risk free interest rate is 7 % The stock pays 2 % continuous dividend. The current stock price is 65 The volatility of the stock is 40 %. Consider an American put option on the stock expiring in a year with a strike price of \$65.

What is the number of stocks in the replicating portfolio at the end of the first 6 month period if we know the stock price decreased in the first period?

I was able to calculate the option premium. The formula I've been trying to use is e^(d*h)[(Cu-Cd)/(Su-Sd)]. However, I'm unsure if I need to do anything differently given that I'm trying to replicate the portfolio at the end of the first 6 month period. Any help would be great, thanks!