<p>Wow. Great question. Let me try this simple example.</p>
<p>College A: Total 4 year borrowing costs=200K Total costs + simple interest =210K
College B: Total 4 year borrowing costs=100K Total costs + simple Interest =105K
Assume interest = 5% Payback period 10yrs after graduation.</p>
<p>The difference between Cost from College A to College B= 210-105=105K</p>
<p>Question is how many years would it take to pay back difference in education of College A to College B if the difference in job income is 10k between College A to College B?</p>
<p>Assume College A starting salary 50K
Assume College B starting salary 40k
Assume both salaries increasing 3.5% per year compounded.</p>
<p>Year 1
CollegeA=50,000
CollegeB=40,000</p>
<p>Year 2
A=51,750
B=41,400</p>
<p>Yr3
A=53,561
B=42,849</p>
<p>Yr4
A=55,436
B=44,349</p>
<p>Yr5
A=57,376
B=45,901</p>
<p>Yr6
A=59,384
B=47,507</p>
<p>Yr7
A=61,463
B=49,170</p>
<p>Yr8
A=63,614
B=50,891</p>
<p>Yr9
A=65,840
B=52,672</p>
<p>Yr10
A=68,145
B=54,516</p>
<p>10 Yr Total Income
A=586,570
B=469,256</p>
<p>Difference between College A vs College B income after 10 yrs
117,314</p>
<p>After 10 years the income differential of 117k pays for the 105k initial differential in college costs!</p>