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3#
发表于 2013-4-12 22:57
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I paused on this one too. But if you think about it, a postponed cash flow, even including the initial investment, will still have a different NPV now (at T0).
Example:
Cash Flow 1: -100…50…50…50
Cash Flow 2: 0…-100…50…50…50
At, say, a 10% discount rate, CF1 is worth 24.34, and CF2 is worth 22.13.
Essentially, by beginning the whole process one period later, you are reducing the value of that cash stream. Your original NPV, begun one period later, must be itself discounted by that one period. Money tomorrow is worth less than money today (assuming a positive discount rate); so an NPV at T1 is worth less today than that same unadjusted NPV “received” at T0 is.
It’s simple when you think about it. The confusion comes from the fact that both streams have identical IRRs (in this case, 23.4%) and identical outlays.
Option value is not really the point. In the example they are postponing implementation because they are unsure about their figures. If their figures were correct and the NPV positive, then postponing would have been costly. In this sense it is true to say that an option to proceed (or not) was essentially purchased, with the price being equivalent to the difference in expected NPVs of T0 and T1 implementation. Still, the option to delay is always present in every conceived project, and without having firmer figures to value (rather than price) this option, I feel it differs importantly from other fundamental options discussed in the reading. The main thing, I’m sure, is the additional discounted period. |
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