Final answer:
The minimum amount of after-tax annual savings needed to make the investment yield a 12% return is $17,166.
Step-by-step explanation:
To calculate the minimum amount of after-tax annual savings needed to make the investment yield a 12% return, we need to consider the net initial investment outlay, after-tax cash inflow from disposal of the asset, present value of an annuity, and present value of $1. Using these data, we can set up an equation as follows:
Net initial investment outlay - (Annual after-tax savings x Present value of annuity) + After-tax cash inflow from disposal of the asset = 0
Plugging in the given values, we get:
48000 - (Annual after-tax savings x 3.605) + 14000 = 0
Simplifying the equation:
(Annual after-tax savings x 3.605) = 62000
So, the minimum amount of after-tax annual savings needed to make the investment yield a 12% return is $17,166 (rounded to the nearest whole dollar).