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At the end of 2015, Uma Corporation is considering undertaking a major long-term project in an effort to remain competitive in its industry. The production
At the end of 2015, Uma Corporation is considering undertaking a major long-term | ||||
project in an effort to remain competitive in its industry. The production and sales | ||||
departments have determined the potential annual cash flow savings that could accrue | ||||
to the firm if it acts soon. Specifically, they estimate that a mixed stream of future | ||||
cash flow savings will occur at the end of the years 2016 through 2021. The years | ||||
2022 through 2025 will see consecutive and equal cash flow savings at the end of | ||||
each year. The firm estimates that its discount rate over the first 6 years will be 7%. | ||||
The expected discount rate over the years 2022 through 2027 will be 11%. | ||||
The project managers will find the project acceptable if it results in present cash | ||||
flow savings of at least $860,000. The following cash flow savings data are supplied | ||||
to the finance department for analysis. | ||||
End of year | Cash flow savings | |||
2,016.00 | 110,000.00 | |||
2,017.00 | 120,000.00 | |||
2,018.00 | 130,000.00 | |||
2,019.00 | 150,000.00 | |||
2,020.00 | 160,000.00 | |||
2,021.00 | 150,000.00 | |||
2,022.00 | 90,000.00 | |||
2,023.00 | 90,000.00 | |||
2,024.00 | 90,000.00 | |||
2,025.00 | 90,000.00 | |||
2,026.00 | 90,000.00 | |||
To Do | ||||
Create spreadsheets similar to Table 5.2, and then answer the following questions. | ||||
a. Determine the value (at the beginning of 2017) of the future cash flow savings | ||||
expected to be generated by this project. | ||||
b. Based solely on the one criterion set by management, should the firm undertake | ||||
this specific project? Explain. | ||||
c. What is the interest rate risk, and how might it influence the recommendation | ||||
made in part b? Explain. | ||||
a. | ||||
Discount rate for years 2016 - 2021 | 7% | |||
Discount rate for years 2022 - 2027 | 11% | |||
Cash | Present | |||
Year | Year (n) | Flow | Value | |
2016 | 1 | $110,000 | 110,000.00 | |
2017 | 2 | 120,000 | ||
2018 | 3 | 130,000 | ||
2019 | 4 | 150,000 | ||
2020 | 5 | 160,000 | ||
2021 | 6 | 150,000 | ||
2022 | 7 | 90,000 | ||
2023 | 8 | 90,000 | ||
2024 | 9 | 90,000 | ||
2025 | 10 | 90,000 | ||
2026 | 11 | 90,000 | ||
Reminder: | ||||
First, we will discount cash flows for year 2022 to 2026 at 11%. | ||||
Next, we will discount cash flows for Year 2016 to 2021 at 7%. | ||||
Present value of cash flows for year 2022 to 2026 at the end of year 2021 is $332,630.73. | ||||
by discounting cash flows for Year 2016 to 2021 at 7%, we get PV of 863,844.42. |
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