Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Roger, who is in the 32% marginal tax bracket, must decide between two investmen

ID: 2609955 • Letter: R

Question

Roger, who is in the 32% marginal tax bracket, must decide between two investment opportunities, both of which require an initial cash outlay of $60,000 at the beginning of year 1. Investment A: This investment will yield $9,000 before-tax cash flow at the end of years 1, 2 and 3. This cash represents ordinary taxable income. At the end of year 3, Roger can liquidate the investment and recover his $60,000 cash outlay. He must pay a nondeductible (for tax purposes) $500 annual fee at the end of years 1, 2, and 3 to maintain Investment A. Investment B: This investment will not yield any before-tax cash flow during the period over which Roger will hold the investment. At the end of year 3, Roger will be able to sell Investment B for $82,000 cash. His $22,000 profit on the sale will be a capital gain. Required: Assuming a 6% discount rate and end-of-year tax payments, determine which investment has the greater net present value.

Explanation / Answer

Net Present Value for Investment A

*9000(1-0.32) = 6120 **500(1-0.32) = 340 ***60000(1-0.32) = 40800

Net Present Value for Investment B

*82000(1-0.32) = 55760

Year Particulars Before tax After Tax 0 Initial Investment -60000 -60000 1-3 Cash flow 9000 6120* 1-3 Annual Fees -500 -340** 3 Recover amount 60000 40800*** Net Present Value -13420
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote