FNCE20005 Lecture Notes - Lecture 4: Net Present Value

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Mutually exclusive projects with di erent lives: assessing mutually exclusive projects. Example: the student union is considering investing in either a beverage automatic distributor (bad) or a sweet-and-direct (sad) machine. Equivalent annual value (eav) method: constant chain of replacement (ccr) method. Therefore, recommend project sad over project bad: what if we have two projects with 21 and 23 years, i. e. lcm=483. Lcm method can be very cumbersome: instead of nding lcm, assume project exists forever. Perpetuity method: make lengths of the chains equal by making them in nite. In other words, both projects are replicated forever. Eav method: consider an annuity over n years, eav = annual cash ow from an annuity that has the same life as the project and whose present value is equal to standard npv of the project. Converting the npv value into an annuity - same cash ow every year over the life of the project.

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