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Engineering Economics -  EIT Review   Cash Flow Evaluation Hugh Miller Colorado School of Mines Mining Engineering Department Fall 2008
Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Present Value ,[object Object],T = 0 +/- Cash Flows PV
Net Present Value (NPV) ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Present Value Example
Present Value Example Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Future Value ,[object Object],T = 0 +/- Cash Flows FV
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Future Value Example
Future Value Example Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PV/FV Example ,[object Object],[object Object],[object Object],[object Object],[object Object]
Annual Value ,[object Object]
Annual Analysis Example ,[object Object]
Annual Example Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Benefit/Cost Ratio ,[object Object]
B/C Ratio Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Payback Period ,[object Object],[object Object],[object Object],[object Object]
Payback Period
Example ,[object Object],[object Object],[object Object],[object Object],[object Object],a b c)  0.78 = 10,500/13,500 d)  3 + 0.78
Example:   ,[object Object]
Example:   ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Effect of Pre-production Period ,[object Object],[object Object]
Effect of Pre-production Period ,[object Object],[object Object],[object Object],[object Object]
Advantages ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Engineering Economics   EIT Review IRR & Discount Rates
Investment Rate of Return ,[object Object],[object Object],[object Object]
Internal Rate of Return ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
IRR using Excel ,[object Object]
Analysis ,[object Object],[object Object]
Analysis ,[object Object],[object Object],[object Object]
Analysis ,[object Object],[object Object],[object Object]
Multiple Roots Case ,[object Object],[object Object],[object Object],[object Object]
Multiple Roots Case ,[object Object],[object Object],[object Object],[object Object]
Multiple Roots Case ,[object Object],[object Object]
Multiple Roots Case ,[object Object],[object Object],[object Object],[object Object]
Multiple Roots Case ,[object Object],[object Object],[object Object]
Selecting a Discount Rate ,[object Object],[object Object],[object Object]
Example ,[object Object],+1000 +800 +600 +750 -500 -500 Cash Flow Yr 5 Cash Flow Yr 4 Cash Flow Yr 3 Cash Flow Yr 2 Cash Flow Yr 1 Cash Flow Yr 0 NPV ROR 0 47.82% IRR 739  20% 981  15% 1,283  10% 1,581  6% 1,941  2%
What is in the Discount Rate? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Financial Cost of Capital ,[object Object]
Marginal Weighted Average Cost of Capital ,[object Object]
Hurdle Rate ,[object Object],[object Object]
Opportunity Cost of Capital The opportunity cost of capital is the most common method of establishing the investor’s minimum rate of return. This is based upon the expected returns that the company will generate in the next 1 to 15 years.  It is the average return that investors expect to make over the next few years expressed as a compound interest.

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Lecture cash flow evaluation new

  • 1. Engineering Economics - EIT Review Cash Flow Evaluation Hugh Miller Colorado School of Mines Mining Engineering Department Fall 2008
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  • 47. Opportunity Cost of Capital The opportunity cost of capital is the most common method of establishing the investor’s minimum rate of return. This is based upon the expected returns that the company will generate in the next 1 to 15 years. It is the average return that investors expect to make over the next few years expressed as a compound interest.