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# Benefit-Cost Ratio (BCR): Definition, Formula, And Example

Published: October 15, 2023

Learn the definition, formula, and example of Benefit-Cost Ratio (BCR) in finance. Discover how to calculate BCR for informed financial decision-making.

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## Benefit-Cost Ratio (BCR): Definition, Formula, and Example

When it comes to making financial decisions, it’s crucial to evaluate the true value of an investment or project. The Benefit-Cost Ratio (BCR) is a valuable tool that helps in determining whether the benefits of a project outweigh its costs. In this blog post, we’ll delve into the definition, formula, and provide an example of how to calculate the BCR.

## Key Takeaways:

- The Benefit-Cost Ratio (BCR) is a financial metric used to assess the profitability and feasibility of an investment or project.
- The formula for calculating BCR is dividing the total present value of benefits by the total present value of costs.

## Understanding BCR: Definition and Importance

The Benefit-Cost Ratio (BCR) is a quantitative measure used to evaluate the economic efficiency of a project. It provides an estimate of the benefits received in comparison to the costs incurred. Simply put, the BCR helps answer the question: Is the investment worthwhile?

By calculating the BCR, individuals, businesses, and organizations can make informed decisions about whether to proceed with a particular project or investment. It aids in prioritizing different projects, as those with a higher BCR are generally considered more attractive.

## Calculating BCR: The Formula

The formula for calculating the BCR is as follows:

**BCR = Total Present Value of Benefits / Total Present Value of Costs**

Let’s break down the components of the formula:

**Total Present Value of Benefits:**This represents the estimated value of all the benefits that will be received over the life of the project, converted to their present value.**Total Present Value of Costs:**This refers to the estimated total cost of the project, also converted to its present value.

To obtain accurate results, it’s essential to account for all relevant costs and benefits while calculating the BCR. This includes both tangible and intangible factors, such as direct expenses, indirect costs, potential revenue increases, and risk reduction.

## An Example of BCR Calculation

Let’s consider an example to better understand how the BCR is calculated:

Suppose a company is considering investing in a new manufacturing plant, which has a total present value of benefits amounting to $5,00,000. The total present value of costs associated with the project, including land acquisition, construction, and operational expenses, is estimated at $4,00,000. To calculate the BCR:

- Determine the total present value of benefits: $5,00,000
- Determine the total present value of costs: $4,00,000
- Calculate the BCR: BCR = $5,00,000 / $4,00,000 = 1.25

In this example, the resulting BCR is 1.25, indicating that for every dollar invested in the new manufacturing plant, the company can expect to receive $1.25 in benefits. A BCR greater than 1 typically suggests that the investment is financially viable.

## Conclusion

The Benefit-Cost Ratio (BCR) is a valuable financial tool that assists in making informed decisions about investments and projects. By evaluating the ratio between the total present value of benefits and costs, individuals and organizations can assess the economic feasibility and profitability of various endeavors. Understanding the BCR can help shape effective financial strategies and ensure prudent resource allocation.