Compare financial model assumptions and outcomes
The following comparison concerns a workshop printer with increasing production use
The initial printer value is $18,000. Let \(V_n\) be the value in dollars after \(n\) annual periods, with \(V_0\) as the initial value
The time-based and unit-cost depreciation models are compared. Use is 187 units in the first period and increases by 36 units in each later period. The unit cost is $0.22 per unit
Model A is the time-based depreciation model; model B is the unit-cost depreciation model. The comparison horizon is 7 complete years
The time-based model subtracts a fixed $60.95 each year. Keep this annual amount separate from the cost per unit of use
Retain full precision between model updates. Round each requested monetary result only at the end to the nearest cent. Rates and rules remain fixed over the stated interval; there are no fees or other transactions
For a depreciation-loss table, report the positive amount lost: initial value minus future value. A loss is not the signed change in value. The numerical comparison criterion is the larger retained value; this criterion alone does not establish that a depreciation model is realistic