1. Problem Identification and Parameters The objective is to determine the Present Worth ( PWcap P cap W

PW=∑t=0nNCFt(1+i)tcap P cap W equals sum from t equals 0 to n of the fraction with numerator cap N cap C cap F sub t and denominator open paren 1 plus i close paren to the t-th power end-fraction

) of acquiring and operating an asset (typically a vehicle or machine) over a specific lifecycle, accounting for depreciation, maintenance, and tax incentives. Salvage Value ( ): (after 3 years) Life ( ): 3 years Annual Maintenance ( ): Tax Rate ( ): Interest Rate ( ): Depreciation Method: Double Declining Balance (DDB) Special Incentive: 8% Tax Credit (applied at for assets held ≥3is greater than or equal to 3 2. Depreciation and Tax Shield Calculation

return rate, the inclusion of this credit significantly increases the of the project by providing an immediate cash inflow at the time of purchase. 101 Solved Mechanical Engineering Problems PDF - Scribd

The total Present Worth is the sum of all discounted after-tax cash flows:

The Special 8% Tax Credit is a direct reduction in tax liability at the time of purchase. Net Cash Flows ( NCFcap N cap C cap F ): : : : 4. Mathematical Visualization of Present Worth