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In: Accounting

During the past year, Julia McGill planted a new vineyard on 150 acres of land that...

During the past year, Julia McGill planted a new vineyard on 150 acres of land that she leases for $30,920 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), Julia estimates that the vines will bear grapes that can be sold for $64,360 each year. For the next 20 years (11–30), she expects the harvest will provide annual revenues of $110,130. But during the last 10 years (31–40) of the vineyard’s life, she estimates that revenues will decline to $75,170 per year. During the first 5 years, the annual cost of pruning, fertilizing, and caring for the vineyard is estimated at $8,830; during the years of production, 6–40, these costs will rise to $12,050 per year. The relevant market rate of interest for the entire period is 4%. Assume that all receipts and payments are made at the end of each year. Button has offered to buy Julia’s vineyard business by assuming the 40-year lease. On the basis of the current value of the business, what is the minimum price Julia 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 Julia should accept the business?

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Expert Solution

JULIA Mc GILL VINE YARD
During 1-5 Years $
Revenue from the Vine Yard per year I              -  
Less:
Payments/Expenses Incurred towards Cost of Pruning, fertilising and caring per year II          8,830
Lease Rent per Year III        30,920
Net Income/(loss) per year I-(II+III)      -39,750
JULIA Mc GILL VINE YARD
During 6-10 Years $
Revenue from the Vine Yard per year I        64,360
Less:
Payments/Expenses Incurred towards Cost of Pruning, fertilising and caring per year II        12,050
Lease Rent per Year III        30,920
Net Income/(loss) per year I-(II+III)       21,390
JULIA Mc GILL VINE YARD
During 11-30 Years $
Revenue from the Vine Yard per year I     1,10,130
Less:
Payments/Expenses Incurred towards Cost of Pruning, fertilising and caring per year II        12,050
Lease Rent per Year III        30,920
Net Income/(loss) per year I-(II+III)       67,160
JULIA Mc GILL VINE YARD
During 31-40 Years $
Revenue from the Vine Yard per year I        75,170
Less:
Payments/Expenses Incurred towards Cost of Pruning, fertilising and caring per year II        12,050
Lease Rent per Year III        30,920
Net Income/(loss) per year I-(II+III)       32,200
Calculating the Present Value of the Net Profit/(Loss) @ 4% which is the current market interest rates
Year Net Profit or (Loss) for the relevant Year Present Value Annuity Factor @ 4% for relevant Year Present Value of the Profit/(Loss)
i ii iii iv=ii*iii
1              -39,750 0.96154           -38,221
2              -39,750 0.92456           -36,751
3              -39,750 0.88900           -35,338
4              -39,750 0.85481           -33,979
5              -39,750 0.82193           -32,672
6               21,390 0.79032            16,905
7               21,390 0.75992            16,255
8               21,390 0.73069            15,629
9               21,390 0.70259            15,028
10               21,390 0.67557            14,450
11               67,160 0.64959            43,626
12               67,160 0.62461            41,949
13               67,160 0.60059            40,336
14               67,160 0.57749            38,784
15               67,160 0.55528            37,293
16               67,160 0.53392            35,858
17               67,160 0.51338            34,479
18               67,160 0.49363            33,152
19               67,160 0.47464            31,877
20               67,160 0.45638            30,650
21               67,160 0.43883            29,472
22               67,160 0.42195            28,338
23               67,160 0.40572            27,248
24               67,160 0.39012            26,200
25               67,160 0.37512            25,193
26               67,160 0.36069            24,224
27               67,160 0.34682            23,292
28               67,160 0.33348            22,397
29               67,160 0.32065            21,535
30               67,160 0.30832            20,707
31               32,200 0.29646             9,546
32               32,200 0.28506             9,179
33               32,200 0.27410             8,826
34               32,200 0.26355             8,486
35               32,200 0.25341             8,160
36               32,200 0.24366

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