Question
You run a coffee shop, where you currently sell 200 coffees per year at $4 each and 100 pastries per year at $3 each .
You run a coffee shop, where you currently sell
- 200 coffees per year at $4 each and
- 100 pastries per year at $3 each.
You also currently pay
- $200 per year to rent the building space, and
- you pay a barista $100 per year
to serve the coffee and pastries.
You just paid a consultant $50 to assess ways in which you can increase
revenue.
Based on his advice, you are thinking of purchasing a sign
spinner, currently priced at $125, to direct nearby foot traffic to your shop.
You will also need to hire someone to operate the sign spinner, at an
annual salary of $75 per year.
Based on market surveys, you expect that the sign spinner will enable you
to sell 150 more coffees and 50 more pastries per year. The sign-spinning
machine has a useful life of five years, and cannot be re-sold. Suppose you
book the machine as an asset upon purchase, and declare an annual
depreciation expense of $25 per year throughout its useful life. Your
relevant marginal tax rate is 30%.
Assuming the relevant OCC is 10%, what is the NPV of this investment (i.e.,
investing in the sign spinner)?
Round all work to at least 4 decimal places.
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