Math Problem Statement

You have just landed an internship in the CFO's office of Hawkesworth Inc. Your first task is to estimate the Year 1 cash flow for a project with the following data. What is the Year 1 cash flow?

Sales revenues $13,000

Depreciation $4,000

Other operating costs $6,000

Tax rate 25.0%

Group of answer choices

$6,250

$6,406

$6,566

$6,731

$6,899

Solution

To calculate the Year 1 cash flow, we can follow this step-by-step approach using the formula for after-tax cash flow (ATCF):

Cash Flow=(Sales RevenueOperating Costs)×(1Tax Rate)+Depreciation\text{Cash Flow} = (\text{Sales Revenue} - \text{Operating Costs}) \times (1 - \text{Tax Rate}) + \text{Depreciation}

Step 1: Calculate Earnings Before Tax (EBT)

EBT=Sales RevenueOperating CostsDepreciation\text{EBT} = \text{Sales Revenue} - \text{Operating Costs} - \text{Depreciation} EBT=13,0006,0004,000=3,000\text{EBT} = 13,000 - 6,000 - 4,000 = 3,000

Step 2: Calculate Taxes

Taxes=EBT×Tax Rate\text{Taxes} = \text{EBT} \times \text{Tax Rate} Taxes=3,000×0.25=750\text{Taxes} = 3,000 \times 0.25 = 750

Step 3: Calculate Net Income

Net Income=EBTTaxes\text{Net Income} = \text{EBT} - \text{Taxes} Net Income=3,000750=2,250\text{Net Income} = 3,000 - 750 = 2,250

Step 4: Add Back Depreciation (Non-cash expense)

Since depreciation is a non-cash expense, it must be added back to the net income to determine the cash flow: Cash Flow=Net Income+Depreciation\text{Cash Flow} = \text{Net Income} + \text{Depreciation} Cash Flow=2,250+4,000=6,250\text{Cash Flow} = 2,250 + 4,000 = 6,250

Answer:

The Year 1 cash flow is $6,250.

Would you like more details on this or have any questions?

Related Questions:

  1. How is depreciation treated in cash flow calculations?
  2. What are the different methods of calculating depreciation?
  3. How does the tax rate affect cash flow?
  4. What role do non-cash expenses play in financial analysis?
  5. How would the cash flow change if the tax rate was different?

Tip: Always add back non-cash expenses like depreciation when calculating cash flow, as they don't affect actual cash.

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Math Problem Analysis

Mathematical Concepts

Cash Flow Calculation
Taxation
Depreciation

Formulas

Cash Flow = (Sales Revenue - Operating Costs) × (1 - Tax Rate) + Depreciation
EBT = Sales Revenue - Operating Costs - Depreciation
Taxes = EBT × Tax Rate
Net Income = EBT - Taxes

Theorems

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Suitable Grade Level

College (Finance/Accounting)