In: Accounting
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?
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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