1. Find the present value of an investment in plant and equipment if it is expected to provide annual earnings of $26,000 for 15 years and to have a resale value of $50,000 at the end of that period.
Assume a 10% rate and earnings at year end, and the the following factors:
The present value of 1 at 10% for 15 periods is .23939.
The present value of an ordinary annuity at 10% for 15 periods is 7.60608.
The future value of 1 at 10% for 15 periods is 4.17725.
2. On January 15, 2012, Dolan Corp. adopted a plan to accumulate funds for environmental improvements beginning July 1, 2016, at an estimated cost of $5,000,000. Dolan plans to make four equal annual deposits in
A fund that will earn interest at 10% compounded annually. The first deposit was made on July 1, 2012. Future value factors are as follows:
Future value of 1 at 10% for 5 periods 1.61
Future value of ordinary annuity of 1 at 10% for 4 periods 4.64
Future value of annuity due of 1 at 10% for 4 periods 5.11
Dolan should make four annual deposits of?
3. During the past year, Stacy McGill planted a new vineyard on 150 acres of land that she leases for $31,060 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 $61,290 each year. For the next 20 years (11–30), she expects the harvest will provide annual revenues of $111,160. But during the last 10 years (31–40) of the vineyard’s life, she estimates that revenues will decline to $83,280 per year.
During the first 5 years, the annual cost of pruning, fertilizing, and caring for the vineyard is estimated at $9,410; during the years of production, 6–40, these costs will rise to $12,780 per year. The relevant market rate of interest for the entire period is 11%. Assume that all receipts and payments are made at the end of each year.
Required:
Dick Button 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?