Yes we do need to start from time 0.
The initial outlay cannot have a duration. The initial outlay is the cost you incur for the first time, It may or may not be at time 0. You may, however, have other outlays. So only in those cases, will you discount it back to time 0.If the initial outlay is not at time 0, then we need to discount that also.
The question is unclear.Do you mean that there are expenditures on 1 Jan 2002 and 2003 as well? And do you also mean that the revenues are received from I jan 2003 to 1 jan 2015? In that case we can construct a time line for 14 years and calculate the NPV. But otherwise I really don't think we can do much with the information given.
Last edited by a moderator: Apr 7, 2014