The minimum amount that you will accept today if you are to select the lump sum offer is $11,324.66.
The minimum amount that you will accept today if you are to select the lump sum offer is known as the present value of the cash flows. Present value is the sum of discounted cash flows.
Present value = ($4000 / 1.097) + ($4500 / 1.097²) + ($5200 / 1.097³) = $11,324.66
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