Subdivision Development [2918]

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A developer can buy a piece of land and break it into 20 lots.  The development cost is $15,000 per lot and must be paid immediately.  If he can sell 10 lots for $20,000 the first year, 5 lots for $22,000 the second year, and 5 lots for $25,000 the third year; what is the maximum amount he should be for t he raw land.  Assume a discount rate of $8%.  (In a subdivision development problem, the developer’s profit is assumed to be in the sale of the lot and not considered otherwise)

 

Column

Rate

Period

Amount

Factor

Value

N/A

N/A

N/A

-$300,000

1.000000

($300,000)

4

8.0%

1

$200,000

0.925926

$185,185

4

8.0%

2

$110,000

0.857339

$94,307

4

8.0%

3

$125,000

0.793832

$99,229

 

 

 

 

 

$78,721


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