Math Problem Statement

Silver Shipping is evaluating a 5-year project that would require an initial investment in equipment of $490,000. Accelerated depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 would be 25%, 40%, 20%, and 15%, respectively. In year 2, the project is expected to have relevant revenue of $221,000 and relevant variable costs of $91,000. In addition, Silver Shipping would have one source of fixed costs associated with the project. Yesterday, Silver Shipping signed a deal with Diamond Advertising to develop an advertising campaign for the project. The terms of the deal require Silver Shipping to pay $23,000 to Diamond Advertising in 2 years. The tax rate is 35 percent. What is the operating cash flow for year 2 that Silver Shipping should use in its NPV analysis of the project?

Input instructions: Round your answer to the nearest dollar.

Solution

To determine the operating cash flow (OCF) for Year 2, we need to follow these steps:

  1. Calculate Depreciation Expense for Year 2:

    • The initial equipment investment is 490,000490,000.
    • The depreciation rate for Year 2 is 40%40\%.
    • Depreciation Expense (Year 2) = 490,000×0.40=196,000490,000 \times 0.40 = 196,000.
  2. Determine Earnings Before Interest and Taxes (EBIT):

    • Revenue in Year 2 = 221,000221,000
    • Variable costs in Year 2 = 91,00091,000
    • Fixed costs: The fixed cost for the project is not directly given in the problem. However, the advertising campaign fee of 23,00023,000 is relevant only for calculating OCF but is not included as an operating cost for Year 2.

    Without additional information on fixed costs, we’ll assume the EBIT calculation is based on the given revenue and variable costs only: EBIT=RevenueVariable CostsDepreciation Expense\text{EBIT} = \text{Revenue} - \text{Variable Costs} - \text{Depreciation Expense} Plugging in the values: EBIT=221,00091,000196,000=66,000\text{EBIT} = 221,000 - 91,000 - 196,000 = -66,000

  3. Calculate Tax on EBIT:

    • Since EBIT is negative, we won't have any tax expenses in Year 2.
    • Tax = 66,000×0.35=0-66,000 \times 0.35 = 0 (no tax effect as there’s no taxable income).
  4. Calculate Operating Cash Flow (OCF):

    • OCF is calculated using the formula: OCF=(EBIT+Depreciation)×(1Tax Rate)\text{OCF} = (\text{EBIT} + \text{Depreciation}) \times (1 - \text{Tax Rate}) Substituting the values we have: OCF=(66,000+196,000)=130,000\text{OCF} = (-66,000 + 196,000) = 130,000 Hence, the Operating Cash Flow (OCF

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Math Problem Analysis

Mathematical Concepts

Depreciation
Operating Cash Flow
Net Present Value (NPV)
Tax Calculations

Formulas

Operating Cash Flow (OCF) = (EBIT + Depreciation) × (1 - Tax Rate)
EBIT = Revenue - Variable Costs - Depreciation

Theorems

Basic Taxation and Depreciation Calculations
Operating Cash Flow Formula

Suitable Grade Level

Grades 10-12