Question

In: Finance

Suppose that, at age 30, you might wish to leave your job and pursue a master’s...

Suppose that, at age 30, you might wish to leave your job and pursue a master’s degree. If you choose to remain at your job, your employer would pay you $76k per year until retirement, at age 55. If you go back to the university, you would have to sacrifice 2 years of income, but once you graduate, you would receive $115k per year until you retire at age 65. The master’s program you are interested in costs $22 per year.

Note: The term “k” is used to represent thousands (× $1,000).

Required: At an opportunity cost of 8%, determine the percentage difference between your most and least profitable alternatives, with the least profitable option as the basis for your calculation.

interest is $22k

correction *** the cost is $22k ($22,000) per year

Solutions

Expert Solution

The first step is to calculate the present value of both the alternatives.

The present value of remaining at the job is calculated as

Present value of remaining at the current job = $811,282.99   $ 811283

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The present value of going back to the university is calculated as follows

Present value of going back to the unversity = - $ 42370.37037 + $1,324,097.16

Present value of going back to the unversity = $1,281,726.79   $ 1,281,727

The difference between the two alternatives = $ 1,281,727 - $ 811283 = $ 470444

In percentage terms, the difference  between the most and least profitable alternatives is calculated as follows

The percentage difference between the most and least profitable alternatives = 57.99%


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