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The increase in value of a home due to the addition of central air conditioning is best estimated by using

Rationale

The difference in the sales prices of comparable homes with and without air conditioning.

This approach accurately reflects how much value central air conditioning adds to a home by examining the market, comparing similar properties, and determining the premium buyers are willing to pay for this feature.

A (the full cost of the purchase and installation of the air conditioning) YOUR ANSWER

This option suggests that the total cost incurred for purchasing and installing the air conditioning directly correlates with home value. However, the actual increase in value is typically less than the total expense, as buyers do not pay a full premium for improvements due to depreciation and market conditions.

B (one-half the cost of the purchase and installation of the air conditioning) YOUR ANSWER

Estimating value as one-half the cost is arbitrary and does not reflect actual market behavior. The increase in home value is determined by buyer preferences and market comparables, not a fixed percentage of installation costs, which can vary greatly.

C (the cost of the purchase but not the installation of the air conditioning) YOUR ANSWER

This choice also fails to account for how home values are influenced by market demand rather than just the purchase price of the system. Ignoring installation costs overlooks the full investment homeowners make and does not accurately represent the value added to the property.

Conclusion

To estimate the increase in a home's value from central air conditioning, it's most effective to analyze the difference in sales prices between comparable homes with and without this feature. This method reflects actual market dynamics, providing a clearer and more realistic picture of how much value buyers associate with central air conditioning, rather than relying solely on costs incurred during installation.

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