How can I convert a series of expenses and revenues to an equivalent annual cash flow?

Problem

On January 1st, 2004, you buy a $1,000 car. Annual maintenance cost for the first year is $100, and this cost will increase by $10 each year. At the end of four years you'll be able to sell the car for $200.

What is the equivalent annual cash flow if interest is at 4 % compounded annually?

Solution

Set up the following cash flow or open the "Analysis - Annual cost" example in the Help examples folder.

Comment Type Occurs Date Amount Occurrences Change Step
Initial cost outflow once 1-1-2005 1000      
Maintenance cost outflow annually 1-1-2004 100 4 10 (amount) 1
Annual cost unknown annually 1-1-2004 1 4 (no change)  
Residual value inflow once 1-1-2008 200      

Enter 4 into the rate field and select annual compounding.

The equivalent annual cash flow is $342.90.