Sinking Fund Payment (Compounding) Formula

Hi! Can someone please help explain the logic and reasoning behind this formula?

Example:

An apartment complex’s parking lot needs to be resurfaced 3 years from now with an estimated cost of $50,000. How much must be invested at the end of each month for 3 years into an account earning 10% annual rate to have $50,000 at end of year 3?

Answer:

Monthly payment is $1,196.69 

What is the logic behind this following formula for calculating sinking fund payments?

Payment per period = Future value * (rate per period / [(1 + rate per period)^number of periods - 1 )]

 

Ullam culpa dolorem et odit omnis qui. Amet saepe voluptatem voluptas asperiores et hic repellendus. Optio et earum exercitationem dolorem est et.

I'm an AI bot trained on the most helpful WSO content across 17+ years.

Career Advancement Opportunities

May 2024 Investment Banking

  • Jefferies & Company 02 99.4%
  • Goldman Sachs 19 98.8%
  • Harris Williams & Co. New 98.3%
  • Lazard Freres 02 97.7%
  • JPMorgan Chase 04 97.1%

Overall Employee Satisfaction

May 2024 Investment Banking

  • Harris Williams & Co. 18 99.4%
  • JPMorgan Chase 10 98.8%
  • Lazard Freres 05 98.3%
  • Morgan Stanley 07 97.7%
  • William Blair 03 97.1%

Professional Growth Opportunities

May 2024 Investment Banking

  • Lazard Freres 01 99.4%
  • Jefferies & Company 02 98.8%
  • Goldman Sachs 17 98.3%
  • Moelis & Company 07 97.7%
  • JPMorgan Chase 05 97.1%

Total Avg Compensation

May 2024 Investment Banking

  • Director/MD (5) $648
  • Vice President (20) $385
  • Associates (88) $260
  • 3rd+ Year Analyst (14) $181
  • Intern/Summer Associate (33) $170
  • 2nd Year Analyst (67) $168
  • 1st Year Analyst (205) $159
  • Intern/Summer Analyst (146) $101
notes
16 IB Interviews Notes

“... there’s no excuse to not take advantage of the resources out there available to you. Best value for your $ are the...”

Leaderboard

1
redever's picture
redever
99.2
2
Secyh62's picture
Secyh62
99.0
3
BankonBanking's picture
BankonBanking
99.0
4
Betsy Massar's picture
Betsy Massar
99.0
5
CompBanker's picture
CompBanker
98.9
6
dosk17's picture
dosk17
98.9
7
GameTheory's picture
GameTheory
98.9
8
kanon's picture
kanon
98.9
9
Jamoldo's picture
Jamoldo
98.8
10
numi's picture
numi
98.8
success
From 10 rejections to 1 dream investment banking internship

“... I believe it was the single biggest reason why I ended up with an offer...”