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The power of compound interest versus the penalty of procrastination: An example

This page demonstrates the increase in wealth that results from early reinvestment. For a simple example, if $1,000 were invested in a savings account at 7% interest, compounded annually, at the end of the year there would be $1,070. Now if the $70 interest were withdrawn from the account, there would be no compound return, as there would be no reinvestment. If the $70 were left in the savings account along with the original $1,000 investment for another year, 7% interest would be earned on the $1,070 total. This would produce a final amount after two years of $1,144.90.

Now, for a more thorough demonstration, here we’ll look at our two twins – Smart Sam and Larry the Late – and how they’ve adopt different savings patterns. Sam starts at a young age and invests $4000 every year for 15 years, while Larry waits fifteen years to begin, and then invests $4000 each year for 30 years – with some eye popping results.

Meet Sam and Larry, the twins, aged 22.

Smart Sam

Larry the Late

  • Smart Sam deposits $4,000 per year, for 15 years.
  • Sam decided to stop investing and leaves the money to grow at 4% return.
  • 30 years later, Sam’s money has grown to $270,168.
  • Sam only deposited (invested) a total of $60,000. His total return is $186,170.
  • Larry the “Late” twin was always procrastinating, never saving a penny in the same 15 years.
  • Larry then started investing $3,000 per year, for 30 years, earning 4% return.
  • After 30 years, Larry’s money has grown to $233,313.
  • Larry started late and invested $120,000. His total return is $113,313.

 
Sam's results in detail (click to expand)

Smart Sam’s results in detail

Assumptions

First calculation Final calculation
Initial Investment $0.00 $83,298
Annual Return 4.00% 4.00%
Number of Years 15 30
Deposit Frequency Annually Annually
Deposits made at Beginning Beginning
Amount per Deposit $4,000 $0.00

 

Results

Year
Deposit Amount
Total Deposit
Growth
Estimated Value
1
$4,000
$4,000
$160
$4,160
2
$4,000
$8,000
$486
$8,486
3
$4,000
$12,000
$986
$12,986
4
$4,000
$16,000
$1,665
$17,665
5
$4,000
$20,000
$2,532
$22,532
6
$4,000
$24,000
$3,593
$27,593
7
$4,000
$28,000
$4,857
$32,857
8
$4,000
$32,000
$6,331
$38,331
9
$4,000
$36,000
$8,024
$44,024
10
$4,000
$40,000
$9,945
$49,945
11
$4,000
$44,000
$12,103
$56,103
12
$4,000
$48,000
$14,507
$62,507
13
$4,000
$52,000
$17,168
$69,168
14
$4,000
$56,000
$20,094
$76,094
15
$4,000
$60,000
$23,298
$83,298
Note: At this point, Sam stops making annual deposits.
Year
Deposit Amount
Total Deposit
Growth
Estimated Value
1
$83,298
$83,298
$3,332
$86,630
2
$0
$83,298
$6,797
$90,095
3
$0
$83,298
$10,401
$93,699
4
$0
$83,298
$14,149
$97,447
5
$0
$83,298
$18,047
$101,345
6
$0
$83,298
$22,101
$105,399
7
$0
$83,298
$26,317
$109,615
8
$0
$83,298
$30,701
$113,999
9
$0
$83,298
$35,261
$118,559
10
$0
$83,298
$40,003
$123,301
11
$0
$83,298
$44,935
$128,233
12
$0
$83,298
$50,065
$133,363
13
$0
$83,298
$55,399
$138,697
14
$0
$83,298
$60,947
$144,245
15
$0
$83,298
$66,717
$150,015
16
$0
$83,298
$72,718
$156,016
17
$0
$83,298
$78,958
$162,256
18
$0
$83,298
$85,448
$168,746
19
$0
$83,298
$92,198
$175,496
20
$0
$83,298
$99,218
$182,516
21
$0
$83,298
$106,519
$189,817
22
$0
$83,298
$114,111
$197,409
23
$0
$83,298
$122,008
$205,306
24
$0
$83,298
$130,220
$213,518
25
$0
$83,298
$138,761
$222,059
26
$0
$83,298
$147,643
$230,941
27
$0
$83,298
$156,881
$240,179
28
$0
$83,298
$166,488
$249,786
29
$0
$83,298
$176,479
$259,777
30
$0
$83,298
$186,870
$270,168
Larry's results in detail (click to expand)

Larry the Late’s results in detail

Assumptions

Initial Investment $0.00
Annual Return 4.00%
Number of Years 30
Deposit Frequency Annually
Deposits made at Beginning
Amount per Deposit $4,000

 

Results

Year
Deposit Amount
Total Deposit
Growth
Estimated Value
1
$4,000
$4,000
$160
$4,160
2
$4,000
$8,000
$486
$8,486
3
$4,000
$12,000
$986
$12,986
4
$4,000
$16,000
$1,665
$17,665
5
$4,000
$20,000
$2,532
$22,532
6
$4,000
$24,000
$3,593
$27,593
7
$4,000
$28,000
$4,857
$32,857
8
$4,000
$32,000
$6,331
$38,331
9
$4,000
$36,000
$8,024
$44,024
10
$4,000
$40,000
$9,945
$49,945
11
$4,000
$44,000
$12,103
$56,103
12
$4,000
$48,000
$14,507
$62,507
13
$4,000
$52,000
$17,168
$69,168
14
$4,000
$56,000
$20,094
$76,094
15
$4,000
$60,000
$23,298
$83,298
16
$4,000
$64,000
$26,790
$90,790
17
$4,000
$68,000
$30,582
$98,582
18
$4,000
$72,000
$34,685
$106,685
19
$4,000
$76,000
$39,112
$115,112
20
$4,000
$80,000
$43,877
$123,877
21
$4,000
$84,000
$48,992
$132,992
22
$4,000
$88,000
$54,471
$142,471
23
$4,000
$92,000
$60,330
$152,330
24
$4,000
$96,000
$66,584
$162,584
25
$4,000
$100,000
$73,247
$173,247
26
$4,000
$104,000
$80,337
$184,337
27
$4,000
$108,000
$87,870
$195,870
28
$4,000
$112,000
$95,865
$207,865
29
$4,000
$116,000
$104,340
$220,340
30
$4,000
$120,000
$113,313
$233,313