Question

During the past year, Stacy McGill planted a new vineyard on 150 acres of land that she leases for $30,120 a year. She h...

During the past year, Stacy McGill planted a new vineyard on 150 acres of land that she leases for $30,120 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), Stacy estimates that the vines will bear grapes that can be sold for $62,250 each year. For the next 20 years (11–30), she expects the harvest will provide annual revenues of $112,900. But during the last 10 years (31–40) of the vineyard’s life, she estimates that revenues will decline to $73,490 per year.

During the first 5 years, the annual cost of pruning, fertilizing, and caring for the vineyard is estimated at $9,260; during the years of production, 6–40, these costs will rise to $12,550 per year. The relevant market rate of interest for the entire period is 5%. Assume that all receipts and payments are made at the end of each year.

DickButton has offered to buy Stacy’s vineyard business by assuming the 40-year lease. On the basis of the current value of the business, what is the minimum price Stacy should accept? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)

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Answer #1

Answer:

Minimum price Stacy should accept = $488,297

Workings:

Years 0 1 to 5 6 to 10 11 to 30 31 to 40 $0.00 $62,250.00 $112,900.00 ($9,260.00) ($12,550.00)| ($12,550.00) ($30,120.00) ($3

Factor values used are as follows:

PV of $1 annuity for discount rate of 5% For 10 years 7.72173 For 20 years 12.46221 For 5 years 4.32948 PV of $1 for disocunt

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