Jenny Jenks has researched the financial pros and cons of entering into a$1-$year MBA program at her state university. The tuition and needed books for a$$ master's program will have an upfront cost of $$$$53$ comma $00053,000.$ If she enrolls in an MBA$$ program, Jenny will quit her current$$ job, which pays $$$$50$ comma $00050,000$ per year after taxes$($for simplicity, treat any lost earnings as part of the upfront$$ cost$).$ On$$ average, a person with an MBA degree earns an extra $$$$23$ comma $00023,000$ per year$($after taxes$)$ over a business career of $3939$ years. Jenny believes that her opportunity cost of capital is $5\mathrm{.}45\mathrm{.}4\%.$ Given her$$ estimates, find the net present value$($NPV$)$ of entering this MBA program. Are the benefits of further education worth the associated$$ costs?

The following time line depicts the cash flows associated with this$$ problem:

nothing$001122$nothing$3939$

Tuition left parenthesis CF $0$ right parenthesisTuition $($CF$0)$negative $ $103,000$$$103,000$ nothingnothingnothingnothing

Extra earnings Extra earnings nothing$ $23,000$$$23,000$$ $23,000$$$23,000$ times times times $$$ $23,000$$$23,000$