Time Value of Money Formulas

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10 Questions

The lifetime repair cost factor is 0.85.

False

The hour repair cost is $3.50.

False

Tire cost only includes the cost of tire replacement.

False

Tire repair will add about 20% to tire replacement cost.

False

Table 4 provides a guide to approximate equipment life.

False

The cost of replacing high wear items is included in the equipment operating cost.

True

The operator's wage does not include overtime or premium pay.

False

Total operating costs include overhead or profit.

False

The cost of worker's compensation insurance is excluded from the operator's wage.

False

Total owning and operating cost per hour of operation is calculated by subtracting owning cost from operating cost.

False

Study Notes

Time Value of Money

  • Formula to calculate the future value (F) of a current amount of money (P) invested for n periods with an interest rate (i): F = P (1 + i)n
  • Formula to calculate the present value (P) of a future amount of money (F) received after n periods with a discount rate (i): P = F / (1 + i)n

Equipment Cost: Owing Costs

  • Elements of equipment cost: owning costs and operating costs
  • Owing costs: fixed costs incurred each year whether the equipment is operated or not
  • Owning costs include:
    • Investment cost (cost of finance): calculated using the purchase price, salvage value, and interest rate
    • Insurance, tax, and storage costs
    • Depreciation: decline in market value of the equipment due to age, wear, deterioration, and obsolescence

Equipment Cost: Operating Costs

  • Operating costs:
    • Maintenance and repairs
    • Fuel, oil, and lubricants
    • Tires
  • Fuel costs: calculated based on fuel consumption per hour and cost per unit of fuel
  • Service costs: includes oil, hydraulic fluids, grease, and filters, as well as labor required for routine maintenance
  • Repair costs: estimated as a percentage of the equipment's initial cost less tires
  • Tire costs: estimated based on tire life and replacement cost
  • Special items: cost of replacing high wear items, such as dozer blades and ripper tips
  • Operator costs: includes wages, worker's compensation insurance, Social Security taxes, overtime, and fringe benefits

Calculating Total Owning and Operating Costs

  • Total owning and operating cost per hour of operation is calculated by totaling owning costs and operating costs
  • Does not include overhead or profit

This quiz covers the formulas for calculating future and present values of investments, including compound interest and discount rates.

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