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Florida Car Wash Is Considering a New Project Whose Data  Currrent NPV \text { Currrent NPV }

question 52

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Florida Car Wash is considering a new project whose data are shown below.
 Currrent NPV \text { Currrent NPV }
 Year 0123 Sales 700007000070000 Less: VC 150501505015050 Less: Dep 200002000020000 Less: Fixed Cos: 100001000010000 Profit Befor Tax 249502495024950 Less: Tax 8732.58732.58732.5 Profit After Tax $16,217.5016217.516217.5 Add Dep 200002000020000 Cash Flow 36217.536217.536217.5 Investment ($60,000)  Net Cash Flow ($60,000) 36217.536217.536217.5 PV Factor 10.90910.82640.7513 PV Factor ($60,000) $32,925$29,931.82$27,210.74 NVP $30,067.56\begin{array}{|l|c|c|c|c|}\hline \text { Year } & 0 & 1 & 2 & 3 \\\hline \text { Sales } & & 70000 & 70000 & 70000 \\\hline \text { Less: VC } & & 15050 & 15050 & 15050 \\\hline \text { Less: Dep } & & 20000 & 20000 & 20000 \\\hline \text { Less: Fixed Cos: } & & 10000 & 10000 & 10000 \\\hline \text { Profit Befor Tax } & & 24950 & 24950 & 24950 \\\hline \text { Less: Tax } & & 8732.5 & 8732.5 & 8732.5 \\\hline \text { Profit After Tax } & & \$ 16,217.50 & 16217.5 & 16217.5 \\\hline \text { Add Dep } & & 20000 & 20000 & 20000 \\\hline \text { Cash Flow } & & 36217.5 & 36217.5 & 36217.5 \\\hline \text { Investment } & (\$ 60,000) & & & \\\hline \text { Net Cash Flow } & (\$ 60,000) & 36217.5 & 36217.5 & 36217.5 \\\hline \text { PV Factor } & 1 & 0.9091 & 0.8264 & 0.7513 \\\hline \text { PV Factor } & (\$ 60,000) & \$ 32,925 & \$ 29,931.82 & \$ 27,210.74\\\hline \\\hline\text { NVP } &\$30,067.56\\\hline\end{array}

 Project NPV \text { Project NPV }
 Year 0123 Sales 420004200042000 Less: VC 903090309030 Less: Dep 200002000020000 Less: Fixed Cost 100001000010000 Profit Befor Tax 297029702970 Less: Tax 1039.51039.51039.5 Profit After Tax $1,930.50$1,930.50$1,930.50 Add Dep 200002000020000 Cash Flow 21930.521930.521930.5 Investment ($60,000)  Net Cash Flow ($60,000) 21930.521930.521930.5 PV Factor 10.90910.82640.7513 PV Factor ($60,000) 19936.81818124.3816476.709 NPV ($5,462.09) \begin{array}{|l|c|c|c|c|}\hline \text { Year } & 0 & 1 & 2 & 3 \\\hline \text { Sales } & & 42000 & 42000 & 42000 \\\hline \text { Less: VC } & & 9030 & 9030 & 9030 \\\hline \text { Less: Dep } & & 20000 & 20000 & 20000 \\\hline \text { Less: Fixed Cost } & & 10000 & 10000 & 10000 \\\hline \text { Profit Befor Tax } & & 2970 & 2970 & 2970 \\\hline \text { Less: Tax } & & 1039.5 & 1039.5 & 1039.5 \\\hline \text { Profit After Tax } & & \$ 1,930.50 & \$ 1,930.50 & \$ 1,930.50 \\\hline \text { Add Dep } & & 20000 & 20000 & 20000 \\\hline \text { Cash Flow } & & 21930.5 & 21930.5 & 21930.5 \\\hline \text { Investment } & (\$ 60,000) & & & \\\hline \text { Net Cash Flow } & (\$ 60,000) & 21930.5 & 21930.5 & 21930.5 \\\hline \text { PV Factor } & 1 & 0.9091 & 0.8264 & 0.7513 \\\hline \text { PV Factor } & (\$ 60,000) & 19936.818 & 18124.38 & 16476.709 \\\hline\\\hline\text { NPV } & (\$ 5,462.09) \\\hline\end{array}
The equipment to be used has a 3-year tax life, would be depreciated on a straight-line basis over the project's 3-year life, and would have a zero salvage value after Year 3.No new working capital would be required.Revenues and other operating costs will be constant over the project's life, and this is just one of the firm's many projects, so any losses on it can be used to offset profits in other units.If the number of cars washed declined by 40% from the expected level, by how much would the project's NPV decline? (Hint: Note that cash flows are constant at the Year 1 level, whatever that level is.)

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Definitions:

Taxable Income

The portion of income that is subject to income tax after all deductions, exemptions, and credits are considered.

Tax Liability

The total amount of tax owed by an individual or business entity to taxing authorities like the IRS after accounting for deductions, credits, and exemptions.

Tax Rate Structure

The system of varying tax rates that apply to different levels of income, used by governments to calculate tax liability.

Regressive

pertains to a tax system where the tax rate decreases as the taxable amount increases, meaning lower-income individuals pay a higher percentage of their income compared to higher-income individuals.

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