A driver entering into a car lease agreement can obtain the right to buy the car in 4 years for $10,000.
The current value of the car is $30,000. The value of the car, S, is expected to follow the process is a Wiener process.
The market price of risk for the car price is estimated to be - 0:1. What is the value of the option? Assume that the risk-free rate for all maturities is 6%.