
Cashflow and TimeValue Question
Posted:
Jul 1, 2013 5:41 AM


Hello. When doing NetPresent value types of problems, I seem to occasionaly get slightly different answers when compared to a very popular spreadsheet program. The Spreadsheet program uses a standard 365 day year, yet I don't see anything in the Mathematica documentation on this. I've reduced the issue down to these two simple examples.
1. 3 simple daily cash flows in a row. cf[[1,1,1]] is returning the start date, or time 0. The days per year is a fraction, so I use Rationalize to return the values used for easy viewing.
cf=Cashflow[{ {{2009,12,29},a}, {{2009,12,30},b}, {{2009,12,31},c} }];
Rationalize[TimeValue[cf,r,cf[[1,1,1]]],0]
a + b/(r+1)^(1/365) + c/(r+1)^(2/365)
It appears the program uses 365 days/year also. This example would most likely match. We just note that the year 2009 is not a leap year.
2. However, If I change the year to 2007, which is also not a leap year, it appears that the program is using a 366 day year. These types of problems are giving slightly different answers then spreadsheets that use a constant 365 day year.
cf=Cashflow[{ {{2007,12,29},a}, {{2007,12,30},b}, {{2007,12,31},c} }];
Rationalize[TimeValue[cf,r,cf[[1,1,1]]],0]
a + b/(r+1)^(1/366) + c/(r+1)^(1/183)
Note: it's using 366 day year... {1,2}/366 {1/366,1/183}
Does anyone have any insight? I'm not sure what the standard convention is. I just note that both years are non leap years, yet different methods of calculations. It appears to me that the random use of 366 is causing the slightly different answers.
Thanks in advance. :>) Mac, and Mathematical v 9.

