Richards' Tree Farm, Inc., is doing well after its incorporation. Jake Richards, president, chief of operations, and majority shareholder, currently has a planting of 10,000 three-year-old Japanese dogwood trees in a recently introduced pink-flowered variety. This type of tree can be sold at a higher price than the more common white-flowered variety. The trees are now 6 feet tall on average and can be sold for $24 each. At present, 8-foot trees are priced at $34 and 10-foot trees at $40. Landscape contractors avoid trees larger than 10 feet tall because they are difficult to transplant successfully. With average weather, the 6-foot trees will be 8 feet tall in another three years and 10 feet tall in six years.

1. Because if inflation, Jake expects the price at which he can sell the trees to increase by 3% per year. What price does he expect to receive if he keeps the trees until they reach 8 feet or 10 feet tall? Please show work.

2. If Jake discounts the future price of the trees at 10% per year, what is the present value of their future prices? Please show work.

3. Using the time value of money equation, compute the growth rate of the trees between the third year and the sixth year and between the sixth year and the ninth year. Please show work.

4. When should Jake sell the trees? Please show work.

5. A major landscape contractor who has bid successfully on a large-scale Boston beautification and urban greening project has offered to buy all 10,000 flowering dogwood trees at a price of $28,000, payable immediately. However, the contractor does not need the trees for three years. If Jake accepts, he will be obliged to deliver 10,000 trees three years from today. If anything should happen to his own crop, he would need to buy trees on the open market at the prevailing price, which might be higher or lower than the price estimated in Question 1. Should Jake accept the offer if his required rate of return is 10%? Hint: What is the present value of the price he expects to receive for the trees three years in the future? Discount the price at 10%. Please show work.