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You give up a full-time salary of $45,000 a year to go to school for 2 years. The total cost of going to school is $30,000. If you want to be able to recover your investment in 5 years or less, what is the minimum salary you would need to earn upon earning your degree?

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Posted on Jul 15, 2010

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SOURCE: Expected returns: You have chosen biology as your

So expected returns are just a little more advanced version of probability - without getting too in detail it uses weighted averages so you do not have to add the same number 17 times.
Let's first define our variables:
E(X) = Expected Return X1 = Variable 1 P1 = Probability 1 (in decimal format so 55% would be .55) X2 = Variable 2 P2 = Probability 2 (P2 is also equal to 1 - P1)
So the expected return formula is as follows:
E(X) = (X1)*(P1) + (X2)*(P2)
Plugging in our given numbers we get E(X) = Expected Return X1 = 300,000 P1 = 10% or .1 X2 = 40,000 P2 = 1 - P1 = 1 - .1 = .9
E(X) = (300,000)*(.1) + (40,000)*(.9) E(X) = 66,000
Now remember this does not include the opportunity cost of spending your four years in college studying biology instead of another degree.

Posted on Mar 01, 2011

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SOURCE: On the Sharp EL-738 calculator,

Hi,

Jane starts with 1200$ at the beginning of the first year, and at the end of the fourth year she has 1200$+300$=1500$
Use x for her annual interest rate, that means at the end of the first year she will have 1200$*[(100+x)/100]. At the end of the second year her first-year money earns at the same rate, so she will have 1200$*[(100+x)/100]*[(100+x)/100]=1200$*[(100+x)/100]^2 at the end of the second year.
At the end of the third year she will have 1200$*[(100+x)/100]^2 *[(100+x)/100]=1200$*[(100+x)/100]^3
At the end of the fourth year she will have
1200$*[(100+x)/100]^3 *[(100+x)/100]=1200$*[(100+x)/100]^4 which is equals to 1500$

1200$*[(100+x)/100]^4=1500$ divide both sides by 1200$
[(100+x)/100]^4=1,25 take the fourth root of both sides
(100+x)/100=1,05737 both sides*100
100+x = 105,737 both sides -100
x=5,737
So Jane's annaual interest rate was 5,737%.

Hope it helps you.

Posted on Mar 15, 2011

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Posted on Aug 17, 2011

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You give up a full-time salary of $45,000 a year to go to school for 2 years. The total cost of going to school is $30,000. If you want to be able to recover your investment in 5 years or less, what is the...


Your 'investment' consists 2 years loss of 45k and a further 30k = 75k
if you work for the next 5 years you would need to earn 75k more than whatever your wages were without the qualification. That's an extra 15k a year.
None of this allows for tax or inflation, and is a gross over-simplification of events.

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So expected returns are just a little more advanced version of probability - without getting too in detail it uses weighted averages so you do not have to add the same number 17 times.
Let's first define our variables:
E(X) = Expected Return X1 = Variable 1 P1 = Probability 1 (in decimal format so 55% would be .55) X2 = Variable 2 P2 = Probability 2 (P2 is also equal to 1 - P1)
So the expected return formula is as follows:
E(X) = (X1)*(P1) + (X2)*(P2)
Plugging in our given numbers we get E(X) = Expected Return X1 = 300,000 P1 = 10% or .1 X2 = 40,000 P2 = 1 - P1 = 1 - .1 = .9
E(X) = (300,000)*(.1) + (40,000)*(.9) E(X) = 66,000
Now remember this does not include the opportunity cost of spending your four years in college studying biology instead of another degree.

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