# how to calculate benefit cost ratio

We can conclude that if the investment has a BCR which is greater than one, the investment proposal will deliver a positive NPV and on the other hand, it shall have an IRR that would be above the discount rate or the cost of project rate, which will suggest that the Net Present Value of the investment’s cash flows will outweigh the Net Present Value of the investment’s outflows and the project can be considered.

The present value of the costs is \$4,00,000. The following points must be noted before making a decision based upon the Benefit-Cost Ratio. Since the Benefit-Cost ratio is greater than 1, the renovation decision appears to be beneficial. Benefit-Cost Ratio = \$3,130,501.92 / \$3,000,000; Benefit-Cost Ratio = 1.04; Therefore, it can be seen that Project A has a higher benefit-cost ratio as compared to Project B which indicates that out of the two Project A is the better investment option. Change ), You are commenting using your Facebook account. Therefore, the Benefit-Cost Ratio can be calculated as using the below formula as, The formula for Calculating BCR = PV of Benefit expected from the Project / PV of the cost of the Project. A project is considered cost-effective when the BCR is 1.0 or greater. In humans it is considered a problem to express health in terms of money. In either case, the next alternative in order or increasing value of Ck is picked as the new challenger. Calculate the incremental benefit-cost ratio to compare the challenger and defender: (B f-B d)/(C f-C d) If the incremental B/C ratio is greater than 1, the challenger becomes the defender.

Now we can discount the cash flows at 9.83% and arrive at the discounted benefit and discounted cost per below: Benefit-cost ratio = PV of Benefit expected from the Project /PV of the cost of the Project. Since the outflow of \$50,000 is immediate and hence that would remain the same. Sorry, your blog cannot share posts by email. Since it is greater than 1, the mega order appears to be beneficial.

capital cost or internal return target, or a risk-adjusted market interest rate. Step 5: Insert the formula =SUM(D9: D11) in cell D12. The present value of the future benefits of a project is \$6,00,000. = \$6,00,000 – \$4,00,000 Net Present Value (NPV) will be – 1. Can an employee challenge the organization for his/her termination due to restructuring or business downsizing? Benefit cost ratio Compares the revenue to the cost Benefit cost ratio=benefit/cost Cost benefit ratio=cost/benefit Suppose a house costs \$1,000,000 and you sell it … Change ), You are commenting using your Twitter account. The major limitation of the BCR is that since it reduces the project to mere a number when the failure or success of the projector of expansion or investment etc. The guidance includes: Background information on benefit-cost analysis and how it may fit into the project development process.

All this will be deposited in a separate escrow account explicitly created for this purpose and cannot be withdrawn for any other purpose. = \$2,00,000 Sin… Since here the costs are also incurred in different years, we need to discount them as well. If the Benefit-Cost Ratio (BCR) is equal to one, the ratio will indicate that the NPV of investment inflows will equal investment’s outflows. Otherwise, the defender remains. If the benefit-cost ratio is less than 1, you should not proceed with the proposed project.

In either case, the next alternative in order or increasing value of C k is picked as the new challenger.
The inflation rate that is currently prevailing is 3%. Project A – The present value of the benefits expected from the project is \$40,00,000.

Sunshine private limited has recently received an order where they will sell 50 tv sets of 32 inches for \$200 each in the first year of the contract, 100 air condition of 1 tonne each for \$320 each in the second year of the contract, and the third year they will sell 1,000 smartphones valuing at \$500 each. Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. Advantages and limitations. It compares benefit and cost at the same level that is it considers the time value of money before giving any outcome based on absolute figures as there could be a scenario that the project appears to be lucrative without considering time value and when we consider time value, the benefit-cost ratio goes less than 1. ", Bk = the total discounted benefits of an alternative k, calculated as aboveCk = the total discounted costs of an alternative k, calculated as above. ( Log Out /

Step 2: Insert the relevant formula in cells C10 and C11. Calculate the benefit-cost ratio and evaluate which project should be undertaken.

Benefit-Cost Ratio Definition. Discount Rate.

You will need to input the following parameters to calculate the benefit-cost ratio. There is no cash outflow or inflow in the 0 years as the company is making a deposit and its earning interest on the same at the rate of 3%, and in the final year, the company will make a payment of \$35,000, which has been included in the cash outflow. It will lead to the following extra profits in the following years: Assuming a discounting rate of 3%, calculate a benefit-cost ratio of the proposed investment. One stop site to pass PMP in your first attempt. Training need identification for blue collar and white collar in a manufacturing company? Compares the revenue to the cost Benefit cost ratio=benefit/cost Cost benefit ratio=cost/benefit Suppose a house costs \$1,000,000 and you sell it for \$1,500,000 then BCR=1500000/1000000=1.5:1, You get \$1.5 of benefit for every \$1 of cost.Greater than 1 indicates your benefits are more than costs, Is an accounting practice that allows a business to spread the cost of an asset over the assets life span There are two types Straight line depreciation Accelerated depreciation, Say you have an asset of Rs 50000 and it has a life of 3 years.The straight line depreciation for this is, Now same problem we will calculate using declining balance method, Current asset value=original asset value-previous depreciations, Depreciation amt=current asset value/total estimated life. Calculate the Net Present Value (NPV) of the project and determine whether the project should be executed. To do the cost-benefit analysis first, we need to bring both costs and benefit in today’s value. Assume the cost of the project is 9.83%. Σ(Bi/(1+d)i)/Σ (Ci/(1+d)i), summed over i = 0 to n. This method is applicable if there are two or more alternative projects to compare to the base case. Still, the company will earn a 2% rate on the same for the next three years as the same will be paid at the end of 3rd year to the contract employees. First, discount all future costs and benefits to obtain Ck and Bk for each alternative and for the base case.Then start by identifying the base case as the defender, represented by the subscript "f." Pick the alternative with the least value of total discounted costs as the challenger "c."Calculate the incremental benefit-cost ratio to compare the challenger and defender:  (Bf-Bd)/(Cf-Cd)If the incremental B/C ratio is greater than 1, the challenger becomes the defender. Explanation.

In the 2nd year, it will be 75% of the gross revenue earned, and in the last year will be 83% of the gross income as per the estimates. Calculate the B/C ratio and PVR for the cash flow in Example 3-6.
Then, sum both the discounted benefits and the discounted costs over all years (0 though n) and divide the sum of the discounted benefits by the sum of the discounted costs. A company will have to incur a cost of \$1,00,000 if new machinery is purchased. Step 4: Drag the formula from cell D9 up to D11. 1 PURPOSE . The benefit-cost ratio indicates the relationship between the cost and benefit of project or investment for analysis as it is shown by the present value of benefit expected divided by present value of cost which helps to determine the viability and value that can be derived from investment or project.

You are required to assess whether the decision to renovate will be profitable by using a BCR. Sign in|Report Abuse|Print Page|Powered By Google Sites, The total discounted benefits are divided by the total discounted costs.

First, discount the costs and benefits in future years. This procedure is mathematically equivalent to Net Present Value, and it always gives the same result, but use of this procedure may provide greater insights into the relationships between costs and benefits of the different projects.