Dr. Sato makes a fully leveraged purchase on a share of stock today at time t = 0.

You are given:

• The time t = 0 price of a share of the stock is 50.
• The stock pays a discrete dividend of 1.50 in six months.
• The continuously compounded annual risk-free interest rate is 2%.
• The broker's commission is 0.2% on each and every transaction.

Dr. Sato closes all of her positions at time T=1 year from today and has a profit of 3.30.

Determine theprice of the stock at time T=1 year from today, the time the position is closed.