During the past year, Maria McGill planted a new vineyard on 150 acres of land that she leases for $31,480 a year. She has asked you, as her accountant, to assist her in determining the value of her vineyard operation.
The vineyard will bear no grapes for the first 5 years (1–5). In the next 5 years (6–10), Maria estimates that the vines will bear grapes that can be sold for $63,660 each year. For the next 20 years (11–30), she expects the harvest will provide annual revenues of $112,070. But during the last 10 years (31–40) of the vineyard’s life, she estimates that revenues will decline to $78,820 per year.
During the first 5 years, the annual cost of pruning, fertilizing, and caring for the vineyard is estimated at $9,810; during the years of production, 6–40, these costs will rise to $11,070 per year. The relevant market rate of interest for the entire period is 6%. Assume that all receipts and payments are made at the end of each year.
Dicks Button has offered to buy Maria’s vineyard business by assuming the 40-year lease. On the basis of the current value of the business, what is the minimum price Maria should accept? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)
Minimum price at which Maria should accept the business.