Question: **Please explain how to get the payback period. My calculations do not make sense. Thank you!** ETMC invested $200,000 in a feasibility study for this
**Please explain how to get the payback period. My calculations do not make sense. Thank you!**
ETMC invested $200,000 in a feasibility study for this expansion, and its executives are somewhat confident that there is a significant market for its expansion, but there is clearly risk involved. Given the lower level of fixed costs of Alternative A, you have determined that this project has 10% less risk than an average project for ETMC. In contrast, given the higher fixed costs of Alternative B, you have determined that it is 20% more risky than an average project for ETMC.
Currently, ETMCs capital structure is as follows:
| Component | Description |
| Long-term Debt | $1000 par, 9% coupon bonds with 16 years until maturity. 10,000 bonds outstanding. Current market price of $1050.00.
Your investment bankers estimate that, at your investors current required rate of return, new bonds could be sold at par minus 5% flotation costs. |
| Preferred Stock | $100 par, 11% dividend preferred stock, currently selling for $110.00. 16,000 shares outstanding.
Your investment bankers estimate that ETMC could issue new preferred stock at par at your investors current required rate of return, but with a $2 per share discount and $3.75 per share flotation costs. |
| Common Stock | 200,000 outstanding shares, with a book value of $46 per share and a $68.00 current market price per share. Dividend history shown below.
Your investment bankers estimate that you could issue additional common stock shares with $2 per share underpricing and with flotation costs of $5.00 per share. |
| Year | Dividend |
| 2020 | $3.95 |
| 2019 | $3.76 |
| 2018 | $3.58 |
| 2017 | $3.41 |
| 2016 | $3.25 |
Currently, the rate of return for the stock market is 9.9%, and the risk-free rate is 4.7%. ETMCs corporate beta is 1.35.
ETMC is in the 24 percent tax bracket.
ETMC uses a 4-year decision rule for the payback period.
Investment
If ETMC does not expand, it can sell the proposed expansion site for $500,000.
Alternative A requires an additional plant, equipment, and technology of $2,200,000. The plant, equipment, and technology are classified as MACRS 5-year property. The useful life of the equipment, however, is 7 years; at the conclusion of the 7-year period, it is estimated that the salvage value will be $250,000.
Under Alternative A, inventories will increase by $140,000, accounts receivable will increase by $135,000, and accounts payable will increase by $80,000.
Alternative B requires an additional plant, equipment, and technology of $6,100,000. The plant, equipment, and technology are classified as MACRS 5-year property. The useful life of the equipment, however, is 7 years; at the conclusion of the 7-year period, it is estimated that the salvage value will be $360,000.
Under Alternative B, inventories will increase by $180,000, accounts receivable will increase by $150,000, and accounts payable will increase by $85,000.
Revenues and Expenses
The following chart shows the expected revenues and operating costs for each project for each year.
| Alternative A | Alternative B |
| Year | Revenue | Operating Costs | Revenue | Operating Costs |
| 2021 | $1,100,000 | $510,000 | $1,700,000 | $380,000 |
| 2022 | $1,200,000 | $530,000 | $1,875,000 | $390,000 |
| 2023 | $1,300,000 | $560,000 | $1,975,000 | $400,000 |
| 2024 | $1,350,000 | $570,000 | $2,075,000 | $410,000 |
| 2025 | $1,250,000 | $585,000 | $2,150,000 | $420,000 |
| 2026 | $1,150,000 | $595,000 | $2,000,000 | $420,000 |
| 2027 | $1,050,000 | $600,000 | $1,800,000 | $425,000 |
This is what I got
| Alternative A | Alternative B | |
| 2021 | 590,000 | |
| 2022 | 670,000 | |
| 2023 | 740,000 | |
| 2024 | 780,000 | |
| Payback period | 0.681654676 |
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