life cycle costing

[dazruss]

I have an exam for my bsc and need a formula for future value of running costs for a buildings life cycle, say 70000 at 4% for year 1,2,3,4,......20 I know its (70000x1.04) to the power of the year but need a formula that will find the yearly fv and total the whole sum for the number of years, as its 45mins per question I wont have time to do 20 years and separately total them and then another 20years for option 2 plus maintenance costs every so many years plus justifying any assumptions made...........the teacher says there is one but has consistently failed to post the formula

any help would be much appreciated

 

[dazruss]

found it

found it in another thread of yours, think i've asked the wrong question blame my advanced years what i was looking for was

i = .05
n = 3
a = 1000

a(1-1/(1+i)^n)/i

unless theres a shorter version?

a((/1+i)^n)/i

no that doesnt work!!