The total Capitalized Cost (CC) is calculated by first finding the pump’s total initial installed cost, then converting that investment into the present value of replacing the equipment indefinitely. Add the purchased equipment price to installation expenses to obtain the initial investment, (P). Then apply the capitalized-cost factor using the interest rate and equipment service life:

[ CC=P\left[\frac{(1+i)^n}{(1+i)^n-1}\right] ]

Here, (i) is the interest rate per period and (n) is the equipment’s useful life in the same number of periods.

Capitalized Cost accounts for both the initial installed investment and all future equipment replacements. For an industrial pump, the calculation is (P=\text{purchase cost}+\text{installation cost}), followed by the capitalized-cost formula.

How to Calculate Capitalized Cost

Step 1: Determine the Purchased Equipment Cost

Start with the pump’s purchase price, including the equipment required for the intended fluid-delivery service.

This may include the pump, motor, standard accessories, controls, and other directly supplied components, depending on how the vendor quotation is defined.

Step 2: Estimate Installation Cost

Installation cost covers the work required to place the pump into operating service.

Typical items include piping, electrical wiring, mounting, foundations, valves, instrumentation, alignment, and commissioning. In preliminary estimates, installation is often expressed as a percentage of the purchased equipment cost.

For example, if installation is estimated at 75% of the pump purchase price:

[ \text{Installation Cost}=0.75 \times \text{Purchased Cost} ]

Step 3: Calculate the Initial Installed Capital Cost

Add the purchased cost and installation cost:

[ P=\text{Purchased Cost}+\text{Installation Cost} ]

For a pump priced at $35,000 with installation estimated at 75%:

[ \text{Installation Cost}=0.75(35{,}000)=$26{,}250 ]

[ P=35{,}000+26{,}250=$61{,}250 ]

The value (P) is the total initial installed capital cost.

Applying the Capitalized-Cost Formula

Identify the Interest Rate

Use the interest rate appropriate to the economic analysis.

For an annual analysis, (i) should be expressed as an annual decimal rate. Thus, a 10% interest rate becomes:

[ i=0.10 ]

Identify the Service Life

The value (n) is the expected operating life before the pump must be replaced.

If the pump is expected to operate for three years:

[ n=3 ]

The interest-rate period and service-life period must match. An annual interest rate requires a service life stated in years.

Calculate the Replacement Factor

Substitute the interest rate and service life into the capitalized-cost factor:

[ \frac{(1+i)^n}{(1+i)^n-1} ]

For (i=0.10) and (n=3):

[ \frac{(1.10)^3}{(1.10)^3-1}

\frac{1.331}{0.331} \approx 4.020 ]

Calculate Total Capitalized Cost

Finally:

[ CC=61{,}250(4.020) ]

[ CC\approx $246{,}225 ]

The result is approximately $246,000, subject to rounding and the assumptions used for installation cost, interest rate, and service life.

What the Result Represents

Present Value of Repeated Replacements

The capitalized cost represents the present sum required to purchase the pump and replace it every three years indefinitely, assuming the same cost and economic conditions continue.

It is therefore a life-cycle economic measure, rather than merely the price of the first pump.

Influence of Equipment Life

A shorter service life increases capitalized cost because replacements occur more frequently.

A more durable pump may have a higher initial purchase price but a lower capitalized cost if its longer service life reduces the frequency of replacement.

Influence of the Interest Rate

A higher interest rate increases the cost of future replacement requirements when expressed as an equivalent present investment.

The rate should reflect the organization’s required return, financing assumptions, or chosen economic-analysis standard.

Extending the Estimate Beyond the Pump

Installed Onsite Equipment Costs

For a single pump or other fluid-delivery unit operation, the direct calculation above may be sufficient for a preliminary equipment comparison.

For a larger process installation, the pump is usually one component of the installed onsite equipment cost, also called the inside-battery-limits or ISBL cost.

Offsite and Owner Costs

A broader process-plant estimate may also include outside-battery-limits infrastructure, such as utilities and steam generation, along with owner’s costs and contingency.

These additions are separate from the pump’s own capitalized replacement cost and should not be added automatically unless the analysis is intended to estimate total plant investment.

Working Capital and Start-Up Costs

Working capital and start-up costs may also be included in a total capital investment estimate.

Those categories describe the broader project investment and should be kept distinct from the equipment-level (CC) calculation to avoid double counting.

Understanding the Trade-offs

Installation Percentages Are Approximate

Using 75% of purchase price for installation is a preliminary estimating assumption, not a universal rule.

Actual installation cost depends on site conditions, piping complexity, electrical classification, structural requirements, labor rates, controls, and whether supporting utilities already exist.

Salvage Value Is Not Included

The stated formula assumes no material salvage value at the end of each service cycle.

If a reliable salvage or resale value exists, it should be incorporated into the replacement-cost model because it reduces the net cost of each replacement cycle.

Operating Costs Are Separate

Capitalized cost does not automatically include electricity, maintenance, seals, lubrication, spare parts, labor, downtime, or fluid-treatment costs.

For pump selection, these operating costs may materially affect the best economic choice and should be evaluated separately or added through a broader life-cycle-cost analysis.

Capitalized Cost Is Not the Same as Total Project Investment

The pump-level calculation produces an equipment-related capitalized cost.

A full process project estimate may additionally include utilities, site infrastructure, engineering, construction management, contingency, start-up, and working capital. These broader estimates require a separate plant-cost methodology.

Making the Right Choice for Your Goal

Use the calculation according to the decision you are trying to make:

If your primary focus is comparing pump alternatives: Calculate (P) for each option and apply the same interest rate and analysis period to compare capitalized costs consistently.
If your primary focus is estimating a complete process plant: Use installed onsite equipment cost as a starting point, then separately account for offsite facilities, owner’s costs, contingency, start-up, and working capital.
If your primary focus is selecting durable equipment: Test how longer service life changes (CC), while also including the equipment’s purchase price and expected maintenance requirements.
If your primary focus is operational economics: Combine the capitalized cost with energy, maintenance, replacement parts, and downtime costs for a complete life-cycle evaluation.

A defensible capitalized-cost estimate begins with a realistic installed cost and makes the replacement, interest-rate, service-life, and salvage assumptions explicit.

Summary Table:

Calculation Element	Formula or Example	Purpose
Purchased equipment cost	Pump, motor, controls, and accessories	Establishes the equipment purchase price
Installation cost	75% x $35,000 = $26,250	Covers piping, wiring, mounting, valves, and commissioning
Initial installed cost, P	$35,000 + $26,250 = $61,250	Defines the initial capital investment
Capitalized-cost factor	(1 + i)^n / [(1 + i)^n - 1]	Converts repeated replacements into present value
Example assumptions	i = 10%, n = 3 years	Sets the economic analysis conditions
Total capitalized cost, CC	$61,250 x 4.020 = approximately $246,225	Represents the present value of indefinite replacements
Excluded costs	Energy, maintenance, downtime, working capital, and contingency	Requires separate life-cycle or plant-cost analysis

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What is the method for calculating total Capitalized Cost (CC) for industrial pumps? See the 3-step method