Murdock Co. has additional funds that need to be invested, and is considering purchasing an asset that is expected to return $15,000 per year after tax for the next 5 years, with an after-tax disposal value of $30,000. Merrill Co.'s required rate of return is 10%. What is the maximum amount that Merrill Co. would be willing to pay to purchase this asset? (Use the appropriate discount factor from Appendix A.)
Please show work
Solution:
After tax annual cash flow from asset = $15,000
Life of asset = 5 years
After tax disposal value at the end of 5 years = $30,000
Maximum amount that company willing to pay for purchase of asset = Present value of cash inflows discounted at 10%
= $15,000 * Cumulative PV Factor at 10% for 5 periods + $30,000 * PV factor at 10% for 5th period
= $15,000 * 3.790787 + $30,000 * 0.620921
= $75,489.44
Hence maximum amount that company would be willing to pay to purchase the asset = $75,489.44
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