Engineering economic analysis: Difference between revisions

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Net Present Value (NPV), also known as Net Present Worth (NPW), gives the present value of all payments and provides a basis of comparison for projects with different payment schedules but similar lifetimes. (Biegler 151). In making comparisons between projects, the larger the net present worth, the more favorable the investment. (Peters 328).  The NPV can be represented as:  
Net Present Value (NPV), also known as Net Present Worth (NPW), gives the present value of all payments and provides a basis of comparison for projects with different payment schedules but similar lifetimes. (Biegler 151). In making comparisons between projects, the larger the net present worth, the more favorable the investment. (Peters 328).  The NPV can be represented as:  


<math> \sum_{n=1}^{n=t}\frac{CF_n} {\left( 1+i \right) ^n} </math>
<math> NPV = \sum_{n=1}^{n=t}\frac{CF_n} {\left( 1+i \right) ^n} </math>


where <math>CF_n</math> = cash flow in year <math>n</math> and <math>t</math> = project lifetime.
where <math>CF_n</math> = cash flow in year <math>n</math> and <math>t</math> = project lifetime.

Revision as of 21:51, 23 February 2014

Introduction

Taxes

Chemical production facilities are subject to the same financial levies by the government as all corporations. Specifically, corporations typically pay income taxes, and may collect incentives based on state and federal regulations. Detailed tax filings are almost always conducted by the accounting or financial department of a corporation. When preparing process economics estimations, taxes should be included, however all final cost estimates reported to management should be prepared by the appropriate specialist (Douglas, 23).

Corporate Taxes

The specific tax codes will vary from state to state, and from country to country (Peters, 303). The common factor will be that income is taxed at marginal rates. In the United States, this percentage is 35%, although the effective rate may be lower.

Corporate income taxes is a yearly expense. The percentage rate is to be applied on the income, not the revenue. See other Economics sections on the difference between income and revenue.

Investment Incentives

Local, state, and federal governments generally encourage capital investments by corporations. Financial incentives afforded to corporations include low interest loans, free capital for research and development, and tax holidays for new technologies.

When conducting economic estimates of a chemical process plant, especially if the plant utilizes efficient or "green" technology, it is important to investigate any and all sources of government incentives.

Depreciation

Depreciation, in the colloquial sense, is the loss of value of an item. As it pertains to the chemical process industry, depreciation is the loss of value due to "wear and tear" of the components and facilities of the plant. It is important to note that this does not include working capital or land.

Economics of Depreciation

Depreciation can be thought of as a yearly expense that the plant incurs. It can then be considered a cost, effectively reducing the income and thus the income tax. However, depreciation is not an actual cash flow. There is no transfer of money.

Note how depreciation lowers the amount of taxes:

where is the taxes due; is the gross profit; is the depreciation; and are the taxes due.

Two commons methods of calculating depreciation are discussed in the next sections.

Straight Line Depreciation

Straight line depreciation is the most common method of approximating depreciation when calculating profitability measures, such as return on investment (Seider, 392).

In this method, the depreciable value is written off over the total life of years at a constant linear rate:


, where is each year in the lifetime.


Therefore, the book value , or the initial cost of the item minus the accumulated depreciation charges, at year , can be defined as:


where is the initial cost of the item.

Depreciation Case Study

For example, let us find the book value after 3 years of a compressor which originally costs $50,000, has a depreciable value of $5,000, and has a lifetime of 20 years.


Therefore we can say that over the three years, the compressor has cost the process a difference of $750, which can be taken out of the taxable income.

Time Values of Money

Discounted Cash Flow Methods

As discussed above, the value of money is directly related to time, insofar as $500 today is worth more than $500 in two years. Discounted cash flow methods, such as net present value (NPV) and internal rate of return (IRR) take the time value of money into account. The main difference between nondiscounted and discounted cash flows is that all cash flows are related to time zero in the latter.(Turton 266).

Net Present Value

Net Present Value (NPV), also known as Net Present Worth (NPW), gives the present value of all payments and provides a basis of comparison for projects with different payment schedules but similar lifetimes. (Biegler 151). In making comparisons between projects, the larger the net present worth, the more favorable the investment. (Peters 328). The NPV can be represented as:

where = cash flow in year and = project lifetime.