You are provided with the below table indicating the costs and the benefits for the system on 4 years with a discount factor of 15%. Calculate the Present Value (PV) for each year and fill the table. Given the formula to calculate the PV: PV = 1/(1 + i)" where n is the number of years and i is the discount rate. The system will cost $50,000 to be developed, and once operated it will cost $75,000 for the 1st year, $82,500 for the 2nd year, $91,000 for 3rd year, and $99,500 for 4th. The annual benefits are: $125,000 for the 1* year with an additional of $10,000 for each year after that, as stated in the below table. Use the cost benefit analysis technique to determine when the project pay back for its cost.

Cornerstones of Cost Management (Cornerstones Series)
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ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
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Chapter19: Capital Investment
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You are provided with the below table indicating the costs and the benefits for the system on 4 years
with a discount factor of 15%. Calculate the Present Value (PV) for each year and fill the table.
Given the formula to calculate the PV:
PV, = 1/(1 + i)" where n is the number of years and i is the discount rate.
The system will cost $50,000 to be developed, and once operated it will cost $75,000 for the 1st year,
$82,500 for the 2nd year, $91,000 for 3rd year, and $99,500 for 4th year.
The annual benefits are: $125,000 for the 1st year with an additional of $10,000 for each year after
that, as stated in the below table.
Use the cost benefit analysis technique to determine when the project pay back for its cost.
Year
1
3
Discount Factor
15%
Development
Costs
Operation Costs
Present Value
Costs
Cumulative Costs
Annual Benefits
Present Value
Benefits
Cumulative
Benefits
Cumulative: Costs
+ Benefits
Transcribed Image Text:You are provided with the below table indicating the costs and the benefits for the system on 4 years with a discount factor of 15%. Calculate the Present Value (PV) for each year and fill the table. Given the formula to calculate the PV: PV, = 1/(1 + i)" where n is the number of years and i is the discount rate. The system will cost $50,000 to be developed, and once operated it will cost $75,000 for the 1st year, $82,500 for the 2nd year, $91,000 for 3rd year, and $99,500 for 4th year. The annual benefits are: $125,000 for the 1st year with an additional of $10,000 for each year after that, as stated in the below table. Use the cost benefit analysis technique to determine when the project pay back for its cost. Year 1 3 Discount Factor 15% Development Costs Operation Costs Present Value Costs Cumulative Costs Annual Benefits Present Value Benefits Cumulative Benefits Cumulative: Costs + Benefits
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