Comparing Mutually Exclusive Alternatives Lecture No 18 Chapter Contemporary Engineering Economics Copyright © 2016 th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Comparing Mutually Exclusive Projects: Basic Terminologies th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Revenue Versus Service Projects Revenue Projects o Project revenues depend on the choice of Service Projects o alternatives o Revenue and cost streams vary with the choice of alternatives th Contemporary Engineering Economics, edition Park Project revenues not depend on the choice of alternatives o Fixed (or constant) revenues for all alternatives Copyright © 2016 by Pearson Education, Inc All Rights Reserved Analysis Period Versus Required Service Period Analysis Period The time span over which the economic Required Service Period The time span over which the service of effects of an investment will be evaluated equipment (or investment) will be (study period or planning horizon) needed th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Road Map: A Process of Making a Choice Among Mutually Exclusive Alternatives th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Comparing Mutually Exclusive Projects Principle: Projects must be compared over an equal time span Rule of Thumb: If the required service period is given, the analysis period should be the same as the required service period th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Case Analysis Period Equals Project Lives What to do: Compute the NPW for each project over its life and select the project with the largest NPW th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Comparing Projects Requiring Different Levels of Investment Assume that the unused funds will be invested at MARR This portion of investment will earn a 10% return on investment PW(10%) A = −$4,000 + $450( P / F ,10%,1) + $600( P / F ,10%,2) +$4, 493( P / F ,10%,3) = $283 th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Analysis Period Implied in Comparing Mutually Exclusive Alternatives th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Case Project Lives Longer Than the Analysis Period What to o Estimate the salvage value at the end of the required service period o Compute the NPW for each project over the required service period o PW(15%)A = −$362 o PW(15%)B = −$364 th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Case 3A: Service Projects Project Lives Shorter than the Analysis Period What to o o o o Come up with replacement projects that match or exceed the required service period Compute the NPW for each project over the required service period PW(15%)A = −$34,359 PW(15%)B = −$31,031 th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Case 3B: Revenue Projects Analysis Period Coincides with the Project with the Longest Life in the Mutually Exclusive Group What to Compute the NPW of each project over its analysis period, assuming no cash flows after the service life for the shorter-lived project PW(15%)Drill = $2,208,470 PW(15%)Lease = $2,180,210 th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Case Analysis Period Is Not Specified What to o o o o Come up with replacement projects that serve out the least common multiple period (LCM) Compute the NPW for each project over the LCM PW(15%)A = −$53,657 PW(15%)B = −$48,534 th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Summary • Present worth is an equivalence method of analysis in which a project’s cash flows are discounted to a lump sum amount at the present time • The MARR, or minimum attractive rate of return, is the interest rate at which a firm can always earn or borrow money • MARR is generally dictated by management and is the rate at which NPW analysis should be conducted • Two measures of investment, the net future worth and the capitalized equivalent worth, are variations of the NPW criterion th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved • The term mutually exclusive means that when one of several alternatives that meet the same need is selected, the others will be rejected • Revenue projects are those for which the income generated depends on the choice of project • Service projects are those for which income remains the same, regardless of which project is selected • The analysis period (study period) is the time span over which the economic effects of an investment will be evaluated th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved • The required service period is the time span over which the service of equipment (or investment) will be needed • The analysis period should be chosen to cover the required service period • When not specified by management or company policy, the analysis period to use in a comparison of mutually exclusive projects may be chosen by the individual analyst th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved ... Choice Among Mutually Exclusive Alternatives th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Comparing Mutually Exclusive Projects. ..Comparing Mutually Exclusive Projects: Basic Terminologies th Contemporary Engineering Economics, edition Park Copyright © 2016 by Pearson Education, Inc All Rights Reserved Revenue Versus Service Projects. .. Education, Inc All Rights Reserved Case 3B: Revenue Projects Analysis Period Coincides with the Project with the Longest Life in the Mutually Exclusive Group What to Compute the NPW of each