You are considering an investment in a tree farm. Trees grow each year by the following factors: The price of lumber follows a binomial lattice with
0. The interest rate (risk-free) is constant
at 6%. It costs $2 million each year, payable at the beginning of the year, to lease the forest land. The initial value
of the trees is $5 million (assuming they were harvested immediately). You can cut the trees at the end of any
year and then not pay rent after that. With rent of $2 million per year, find the best cutting policy and the value
of the investment opportunity.
Correct Answer:
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