Value In Use Calculation Example

Accurately determine the Value in Use Calculation for your assets to assess potential impairment.

Calculate Value in Use

Projected and Discounted Cash Flows

Year	Projected Cash Flow	Discount Factor	Discounted Cash Flow

What is Value in Use Calculation?

The Value in Use Calculation is a crucial financial metric used primarily in accounting, particularly for impairment testing of assets under international accounting standards like IFRS (International Financial Reporting Standards), specifically IAS 36. It represents the present value of the future cash flows expected to be derived from an asset or a cash-generating unit (CGU). Essentially, it answers the question: “What is this asset worth to the company based on the cash it’s expected to generate in the future?”

Unlike fair value, which is the price that would be received to sell an asset in an orderly transaction between market participants, the Value in Use Calculation is entity-specific. It reflects the unique way a company intends to use the asset and the cash flows it expects to generate from that specific usage. This makes the Value in Use Calculation a highly relevant measure for internal decision-making and financial reporting.

Who Should Use the Value in Use Calculation?

• Accountants and Auditors: Essential for compliance with IAS 36 (Impairment of Assets) to determine if an asset’s carrying amount exceeds its recoverable amount. If the carrying amount is higher than the recoverable amount (the higher of fair value less costs to sell and Value in Use Calculation), an impairment loss must be recognized.
• Financial Analysts: Useful for internal valuation purposes, especially when market values are not readily available or when assessing the strategic value of an asset within a company’s operations.
• Business Owners and Managers: To understand the intrinsic value of their long-term assets and make informed decisions about capital expenditure, asset utilization, and strategic planning.
• Investors: To gain deeper insight into a company’s asset valuations, particularly for companies with significant tangible or intangible assets that are not frequently traded.

Common Misconceptions about Value in Use Calculation

• It’s the same as Fair Value: While both are valuation methods, fair value is market-based, reflecting what others would pay. Value in Use Calculation is entity-specific, reflecting the value to the current owner based on their planned use.
• It’s a simple calculation: The Value in Use Calculation involves complex estimations of future cash flows, growth rates, and an appropriate discount rate, making it prone to subjectivity and requiring careful judgment.
• It only applies to tangible assets: The Value in Use Calculation applies to both tangible assets (e.g., machinery, buildings) and intangible assets (e.g., patents, brands) that generate identifiable cash flows.
• It’s always higher than fair value: Not necessarily. An asset’s Value in Use Calculation could be lower than its fair value if the company’s planned use is inefficient or if market conditions are very favorable for selling the asset.

Value in Use Calculation Formula and Mathematical Explanation

The core of the Value in Use Calculation lies in the concept of Discounted Cash Flow (DCF). It involves projecting future cash flows an asset is expected to generate and then discounting them back to their present value using an appropriate discount rate. The formula typically consists of two main parts: the present value of explicit cash flows during a projection period and the present value of a terminal value.

Step-by-Step Derivation of the Value in Use Calculation

1. Estimate Future Cash Flows (CF_t): For each year (t) within a defined explicit projection period (T), estimate the net cash flows the asset is expected to generate. This involves forecasting revenues, operating costs, and capital expenditures directly attributable to the asset.
   
   Formula: CF_t = CF_1 * (1 + g_cf)^(t-1) (where CF_1 is Year 1 cash flow, g_cf is the cash flow growth rate)
2. Calculate Discount Factor (DF_t): Determine the factor by which each future cash flow needs to be discounted to bring it to its present value. This factor depends on the discount rate (r) and the year (t).
   
   Formula: DF_t = 1 / (1 + r)^t
3. Calculate Discounted Cash Flows (DCF_t): Multiply each projected cash flow by its corresponding discount factor.
   
   Formula: DCF_t = CF_t * DF_t = CF_t / (1 + r)^t
4. Sum Discounted Cash Flows for Projection Period: Add up all the discounted cash flows for the explicit projection period (from year 1 to year T).
   
   Formula: PV_Projection = Σ (DCF_t) from t=1 to T
5. Calculate Terminal Value (TV_T): This represents the value of all cash flows beyond the explicit projection period (T). It’s often calculated using a perpetuity growth model (Gordon Growth Model), assuming cash flows grow at a constant, sustainable rate (g_terminal) indefinitely. The terminal value is calculated at the end of the projection period (Year T).
   
   Formula: TV_T = [CF_T * (1 + g_terminal)] / (r - g_terminal)
   
   Where CF_T is the cash flow in the last year of the explicit projection period. Note: r must be greater than g_terminal.
6. Calculate Present Value of Terminal Value (PV_TV): Discount the terminal value back to the present day (Year 0).
   
   Formula: PV_TV = TV_T / (1 + r)^T
7. Calculate Total Value in Use: Sum the present value of the explicit projection period cash flows and the present value of the terminal value.
   
   Formula: Value in Use = PV_Projection + PV_TV

Variable Explanations and Table

Understanding each variable is key to an accurate Value in Use Calculation.

Key Variables for Value in Use Calculation

Variable	Meaning	Unit	Typical Range
Annual Cash Flow (Year 1)	Net cash flow expected in the first year of projection.	Currency (e.g., $)	Varies widely by asset
Cash Flow Growth Rate (g_cf)	Annual rate at which explicit cash flows are expected to grow.	Percentage (%)	0% to 5% (can be negative)
Projection Period (T)	Number of years for which cash flows are explicitly forecasted.	Years	3 to 10 years
Discount Rate (r)	Rate used to convert future cash flows to present value, reflecting risk. Often WACC.	Percentage (%)	5% to 15%
Terminal Growth Rate (g_terminal)	Sustainable, constant growth rate for cash flows beyond the projection period.	Percentage (%)	0% to 3% (must be < Discount Rate)

Practical Examples of Value in Use Calculation

To illustrate the application of the Value in Use Calculation, let’s consider a couple of real-world scenarios.

Example 1: Manufacturing Machine Impairment Test

A manufacturing company owns a specialized machine with a carrying amount of $1,200,000 on its books. Due to changes in market demand, the company needs to perform an impairment test. They estimate the following for the machine:

• Annual Cash Flow (Year 1): $150,000
• Cash Flow Growth Rate: 3% per year for the explicit period
• Projection Period: 7 years
• Discount Rate: 9% (reflecting the company’s cost of capital and asset-specific risk)
• Terminal Growth Rate: 2%

Calculation Steps:

1. Project and Discount Cash Flows (Years 1-7):
   • Year 1: $150,000 / (1.09)^1 = $137,614.68
   • Year 2: $150,000 * (1.03)^1 / (1.09)^2 = $131,004.40
   • …and so on for 7 years.

   Sum of Discounted Cash Flows (Years 1-7) = Approximately $850,000

2. Calculate Terminal Value (at Year 7):
   • Cash Flow Year 7 = $150,000 * (1.03)^6 = $179,107.80
   • Cash Flow Year 8 = $179,107.80 * (1.02) = $182,690.00
   • Terminal Value (Year 7) = $182,690.00 / (0.09 – 0.02) = $2,609,857.14
3. Present Value of Terminal Value:
   • PV of TV = $2,609,857.14 / (1.09)^7 = $1,428,000.00
4. Value in Use:
   • Value in Use = $850,000 (PV of explicit CFs) + $1,428,000 (PV of TV) = $2,278,000

Financial Interpretation: The calculated Value in Use is $2,278,000. Since this is greater than the machine’s carrying amount of $1,200,000, no impairment loss is recognized. The asset is generating sufficient future cash flows to support its book value.

Example 2: Software License Valuation

A tech company is evaluating the Value in Use Calculation of a proprietary software license with a carrying amount of $500,000. They project the following:

• Annual Cash Flow (Year 1): $80,000
• Cash Flow Growth Rate: 5% for the explicit period
• Projection Period: 5 years
• Discount Rate: 12%
• Terminal Growth Rate: 0% (assuming no growth after 5 years due to potential obsolescence)

Calculation Steps:

1. Project and Discount Cash Flows (Years 1-5):
   • Year 1: $80,000 / (1.12)^1 = $71,428.57
   • Year 2: $80,000 * (1.05)^1 / (1.12)^2 = $67,000.00
   • …and so on for 5 years.

   Sum of Discounted Cash Flows (Years 1-5) = Approximately $300,000

2. Calculate Terminal Value (at Year 5):
   • Cash Flow Year 5 = $80,000 * (1.05)^4 = $97,240.50
   • Cash Flow Year 6 = $97,240.50 * (1.00) = $97,240.50
   • Terminal Value (Year 5) = $97,240.50 / (0.12 – 0.00) = $810,337.50
3. Present Value of Terminal Value:
   • PV of TV = $810,337.50 / (1.12)^5 = $459,800.00
4. Value in Use:
   • Value in Use = $300,000 (PV of explicit CFs) + $459,800 (PV of TV) = $759,800

Financial Interpretation: The calculated Value in Use is $759,800. This is higher than the carrying amount of $500,000, indicating no impairment. The software license is expected to generate sufficient cash flows to justify its book value.

How to Use This Value in Use Calculation Calculator

Our Value in Use Calculation calculator simplifies the complex process of determining an asset’s Value in Use. Follow these steps to get accurate results:

Step-by-Step Instructions

1. Input Annual Cash Flow (Year 1): Enter the estimated net cash flow the asset is expected to generate in its first year of operation or the first year of your projection. This should be a positive number.
2. Input Cash Flow Growth Rate (%): Provide the expected annual growth rate for the cash flows during your explicit projection period. Enter as a percentage (e.g., 2 for 2%). This can be positive, negative, or zero.
3. Input Projection Period (Years): Specify the number of years for which you will explicitly forecast the cash flows. Typically, this ranges from 3 to 10 years. Enter a whole number greater than zero.
4. Input Discount Rate (%): Enter the discount rate that reflects the time value of money and the risks associated with the asset’s cash flows. This is often the Weighted Average Cost of Capital (WACC) or an asset-specific rate. Enter as a percentage (e.g., 10 for 10%). This must be a positive number.
5. Input Terminal Growth Rate (%): Enter the constant growth rate expected for cash flows beyond your explicit projection period. This rate should be sustainable in the long term and, critically, must be less than your Discount Rate. Enter as a percentage (e.g., 1 for 1%).
6. View Results: The calculator will automatically update the results in real-time as you adjust the inputs.
7. Reset Form: Click the “Reset” button to clear all inputs and revert to default values.
8. Copy Results: Use the “Copy Results” button to copy the main result, intermediate values, and key assumptions to your clipboard for easy documentation.

How to Read the Results

• Total Discounted Cash Flows (Projection Period): This is the sum of the present values of all cash flows explicitly forecasted during your chosen projection period.
• Terminal Value (at end of Projection Period): This represents the estimated value of the asset’s cash flows beyond the explicit projection period, calculated at the end of that period.
• Present Value of Terminal Value: This is the terminal value discounted back to the present day.
• Calculated Value in Use: This is the primary result, representing the total present value of all future cash flows expected from the asset. This is the figure you compare against the asset’s carrying amount for impairment testing.

Decision-Making Guidance

The Value in Use Calculation is primarily used for impairment testing. If the asset’s carrying amount (its value on the balance sheet) is greater than its Value in Use, the asset is considered impaired, and an impairment loss must be recognized. This means the asset is worth less to the company than its recorded value. If the Value in Use is greater than or equal to the carrying amount, no impairment is recognized.

Key Factors That Affect Value in Use Calculation Results

The accuracy and reliability of a Value in Use Calculation are highly sensitive to the assumptions made for its input variables. Understanding these sensitivities is crucial for robust asset valuation and impairment analysis.

• Future Cash Flow Estimates: This is arguably the most critical factor. Overly optimistic or pessimistic projections of revenues, operating costs, and capital expenditures will directly inflate or deflate the Value in Use. Detailed cash flow forecasting based on historical performance, market conditions, and strategic plans is essential.
• Cash Flow Growth Rate: Even a small change in the annual growth rate of cash flows during the explicit projection period can significantly impact the total discounted cash flows. A higher growth rate leads to a higher Value in Use Calculation.
• Projection Period Length: A longer projection period allows for more explicit cash flows to be included, potentially increasing the Value in Use. However, forecasting accuracy decreases with longer periods, introducing more uncertainty.
• Discount Rate: The discount rate has an inverse relationship with the Value in Use Calculation. A higher discount rate (reflecting higher risk or cost of capital) will result in a lower present value of future cash flows, thus reducing the Value in Use. This rate should accurately reflect the risks specific to the asset and the company.
• Terminal Growth Rate: This rate, applied to cash flows beyond the explicit projection period, has a substantial impact, especially for assets with long economic lives. A higher terminal growth rate significantly increases the terminal value and, consequently, the overall Value in Use. It must be a sustainable, long-term growth rate, typically not exceeding the long-term economic growth rate or inflation.
• Inflation: While not a direct input, inflation implicitly affects cash flow projections and the discount rate. If cash flows are projected in nominal terms, the discount rate should also be nominal. If cash flows are real, the discount rate should be real. Consistency is key.
• Taxes: Cash flows should be after-tax cash flows, as taxes directly reduce the cash available to the entity. Changes in tax rates or regulations can therefore impact the Value in Use Calculation.

Frequently Asked Questions (FAQ) about Value in Use Calculation

Q1: What is the primary purpose of a Value in Use Calculation?

A1: The primary purpose of a Value in Use Calculation is for impairment testing of assets under accounting standards like IAS 36. It helps determine if an asset’s carrying amount on the balance sheet is recoverable from its future economic benefits.

Q2: How does Value in Use differ from Fair Value?

A2: Value in Use is entity-specific, based on the present value of cash flows an asset is expected to generate for a specific entity. Fair Value is market-based, representing the price an asset would fetch in an orderly transaction between market participants.

Q3: Can the cash flow growth rate be negative?

A3: Yes, the cash flow growth rate can be negative if the asset is expected to generate declining cash flows over its explicit projection period. The calculator handles negative growth rates.

Q4: What happens if the discount rate is less than or equal to the terminal growth rate?

A4: If the discount rate (r) is less than or equal to the terminal growth rate (g_terminal), the Gordon Growth Model used for terminal value calculation becomes mathematically unsound (it would imply an infinite or negative terminal value). In practice, the terminal growth rate must always be less than the discount rate to ensure a sensible Value in Use Calculation.

Q5: How long should the projection period be for Value in Use Calculation?

A5: The projection period typically ranges from 3 to 10 years. It should be long enough to capture the asset’s initial growth phase but not so long that cash flow forecasts become unreliable. Beyond this period, a terminal value is used.

Q6: What kind of cash flows should be used in the Value in Use Calculation?

A6: The cash flows should be future pre-tax cash flows (or post-tax, depending on the discount rate used) that are directly attributable to the asset or cash-generating unit. They should exclude financing cash flows and income tax receipts or payments.

Q7: Is Value in Use Calculation only for IFRS?

A7: While prominently featured in IFRS (IAS 36), similar concepts are used in other accounting frameworks and for internal asset valuation and investment appraisal, even if the terminology differs slightly.

Q8: What if an asset doesn’t generate direct cash flows?

A8: If an individual asset does not generate cash inflows that are largely independent of other assets, its Value in Use is determined for the smallest group of assets that does generate independent cash flows (a cash-generating unit or CGU).

Related Tools and Internal Resources

Explore other valuable resources to deepen your understanding of financial valuation and accounting principles:

• Impairment Testing Guide: A comprehensive guide to understanding and performing impairment tests on assets.
• Discounted Cash Flow (DCF) Valuation Methods: Learn more about the foundational principles behind Value in Use and other DCF models.
• Asset Valuation Principles: Understand the various approaches and considerations in valuing different types of assets.
• Understanding Present Value: A detailed explanation of how the time value of money impacts financial decisions.
• Terminal Value Explained: Dive deeper into the calculation and significance of terminal value in financial models.
• Cash Flow Forecasting: Master the techniques for accurately projecting future cash flows for your business or assets.
• IFRS Accounting Standards: An overview of International Financial Reporting Standards and their impact on financial reporting.