# Quiz 8: Benefitcost Analysis

Given information: • Initial investment is $5,000. • Annual maintenance cost is $48,830. • Annual revenue is $117,400. • Discount rate is 6%. • Time period is 5 years. Present equivalent worth of the annual cash flow can be obtained by using the following formula: …… (1)Where, P = Present equivalent worth A = Annual cash flow i = Interest rate N = Number of years Present equivalent worth: To obtain the benefit-cost ratio, equalize the present equivalent revenue of plan with its present equivalent cost. Equation (1) is used to convert the annual cash flow to present worth. Benefit-cost ratio: Benefit-cost ratio is as follows: Since the benefit-cost ratio is greater than 1, the project is economically feasible.

Given information: • Initial investment of the building is $2,000,000. • Annual operating cost is $200,000. • Annual revenue is $500,000. • Rate of interest is 6%. • Time period is 8 years. Present worth of the annual cash flow can be obtained by using the following formula: …… (1)Where, P = Present worth A = Annual cash flow i = Interest rate N = Number of years Present worth of benefit: The present worth of benefit is calculated by using Equation - 1 as follows: Hence, the present worth of benefit is $3,105,600 Present worth of cost: The present worth of cost can be calculated as follows: …… (2)Present worth of cost: Using the Equation - 2, the present worth of cost is calculated as follows: Hence, the present worth of cost is $2,318,800 Benefit cost ration: The benefit cost ratio can be calculated as follows: …… (3)Benefit cost ratio: Using the Equation - 3, the benefit cost ratio can be calculated as follows: Hence, the benefit cost ratio is . Hence, the answer is option (c)

The given information: Formula: The benefit - cost ratio: The benefit - cost ratio can be calculated by using the following formula: …… (1)Present equivalent worth of the annual cash: Present equivalent worth of the annual cash flow can be calculated by using the following formula: …… (2)Where, P = Present equivalent worth A = Annual cash flow i = Interest rate N = Number of years The cost: The cost can be calculated as follows: Thus, the value of cost is Benefit: Benefit can be calculated as follows: Thus, the value of benefit is Benefit - cost ratio: By using of equation (1), the benefit - cost ratio can be calculated as follows: Since, the value of benefit - cost ratio (1.29) is greater than 1 , the project is economically feasible.

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