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Amortized cost

What Is Amortized Cost?

Amortized cost is a method of valuing financial assets and financial liabilities on a balance sheet in financial accounting. It represents the initial recognition amount of a financial instrument, adjusted for subsequent principal repayments, the accretion of any discount or amortization of any premium using the effective interest rate, and any impairment losses or gains. This accounting measurement is commonly applied to debt instruments and certain other types of financial assets and liabilities that are held with the objective of collecting contractual cash flows, rather than for short-term trading or sale. Amortized cost reflects the historical cost of an asset or liability and systematically allocates interest income or expense over its expected life.

History and Origin

The concept of amortized cost in financial reporting has evolved significantly, particularly with the introduction and subsequent refinements of international accounting standards. Historically, the International Accounting Standards Board (IASB) addressed the recognition and measurement of financial instruments under IAS 39, "Financial Instruments: Recognition and Measurement." This standard allowed for certain financial assets, such as "loans and receivables" and "held-to-maturity investments," to be measured at amortized cost using the effective interest method.9

However, IAS 39 faced criticism for its complexity and, notably, its "incurred loss" model for impairment, which was deemed to be too little, too late, especially following the 2007–2008 global financial crisis. I8n response, the IASB initiated a project to replace IAS 39, leading to the phased release of IFRS 9, "Financial Instruments." IFRS 9, which became mandatory for annual periods beginning on or after January 1, 2018, introduced new requirements for classifying and measuring financial assets, including revised criteria for measurement at amortized cost. I7t also introduced a forward-looking "expected credit loss" impairment model, a significant change from the incurred loss model.

6Under U.S. Generally Accepted Accounting Principles (GAAP), similar principles for amortized cost exist, particularly within ASC 310-20, "Receivables—Nonrefundable Fees and Other Costs." The Financial Accounting Standards Board (FASB) has also issued updates, such as ASU 2017-08, to clarify and modify the amortization period for premiums on purchased callable debt securities, bringing the amortization period closer to market expectations by amortizing to the earliest call date when held at a premium.

##5 Key Takeaways

  • Amortized cost is an accounting measurement that adjusts the initial cost of a financial instrument for interest, principal repayments, and any premiums or discounts.
  • It is calculated using the effective interest method, which smooths the interest income or expense over the instrument's life.
  • This measurement is primarily applied to financial assets and liabilities that are intended to be held to collect contractual cash flows.
  • Under IFRS 9, specific "business model" and "contractual cash flow characteristics" tests must be met for an instrument to qualify for amortized cost measurement.
  • Amortized cost typically includes an assessment for impairment to reflect expected credit losses.

Formula and Calculation

The calculation of amortized cost primarily relies on the effective interest method. This method allocates interest income or expense over the relevant period so that a constant periodic rate of return is achieved on the net carrying amount of the financial asset or financial liability.

The general formula for calculating the amortized cost at any given period is:

Amortized CostPeriod n=Amortized CostPeriod n1+(Carrying AmountPeriod n1×Effective Interest Rate)Cash Received/PaidPeriod n\text{Amortized Cost}_{\text{Period } n} = \text{Amortized Cost}_{\text{Period } n-1} + (\text{Carrying Amount}_{\text{Period } n-1} \times \text{Effective Interest Rate}) - \text{Cash Received/Paid}_{\text{Period } n}

Where:

  • (\text{Amortized Cost}_{\text{Period } n}) = Amortized cost at the end of the current period.
  • (\text{Amortized Cost}_{\text{Period } n-1}) = Amortized cost at the end of the prior period (or initial recognition amount).
  • (\text{Carrying Amount}_{\text{Period } n-1}) = The amortized cost balance at the beginning of the period.
  • (\text{Effective Interest Rate}) = The rate that discounts the estimated future cash payments or receipts over the expected life of the financial instrument to the net carrying amount. This rate includes all fees and points paid or received between the parties to the contract that are an integral part of the effective interest rate, transaction costs, and all other premiums or discounts.
  • 4 (\text{Cash Received/Paid}_{\text{Period } n}) = The actual cash flow (interest and/or principal) received or paid during the period.

For financial assets, credit losses are also considered, reducing the amortized cost basis.

Interpreting the Amortized Cost

Interpreting the amortized cost of a financial instrument provides insights into its carrying value over time, distinct from its market value. When an asset or liability is measured at amortized cost, it suggests that the entity's business model for managing that instrument is to hold it to collect its contractual cash flows. This means the entity expects to receive (or pay) the principal and interest as specified in the contract until maturity.

For a bond purchased at a discount, the amortized cost will gradually increase towards its face value as the discount is accreted, leading to higher recognized interest income over time. Conversely, for a bond purchased at a premium, the amortized cost will decrease towards its face value as the premium is amortized, resulting in lower recognized interest income. This systematic adjustment ensures that the total interest income or expense recognized over the life of the instrument reflects the true economic yield based on its initial investment. The amortized cost method helps users of financial statements understand the long-term cash flow expectations from these instruments, rather than short-term market fluctuations.

Hypothetical Example

Consider a company, Diversified Holdings Inc., that issues a three-year bond with a face value of $10,000 and a stated annual coupon rate of 4%, paid annually. Due to market conditions, the bond is issued at a discount for $9,737.56, resulting in an effective interest rate of 5%.

Initial Recognition:

  • Initial Amortized Cost: $9,737.56

Year 1:

  1. Interest Expense Calculation: Initial Amortized Cost × Effective Interest Rate = $9,737.56 × 0.05 = $486.88
  2. Cash Paid (Coupon): $10,000 × 0.04 = $400.00
  3. Discount Amortization: Interest Expense – Cash Paid = $486.88 – $400.00 = $86.88
  4. Ending Amortized Cost: Initial Amortized Cost + Discount Amortization = $9,737.56 + $86.88 = $9,824.44

Year 2:

  1. Interest Expense Calculation: Beginning Amortized Cost × Effective Interest Rate = $9,824.44 × 0.05 = $491.22
  2. Cash Paid (Coupon): $400.00
  3. Discount Amortization: Interest Expense – Cash Paid = $491.22 – $400.00 = $91.22
  4. Ending Amortized Cost: Beginning Amortized Cost + Discount Amortization = $9,824.44 + $91.22 = $9,915.66

Year 3:

  1. Interest Expense Calculation: Beginning Amortized Cost × Effective Interest Rate = $9,915.66 × 0.05 = $495.78 (adjusted slightly for rounding to reach exactly $10,000 at maturity)
  2. Cash Paid (Coupon): $400.00
  3. Discount Amortization: Interest Expense – Cash Paid = $495.78 – $400.00 = $95.78
  4. Ending Amortized Cost (before principal repayment): Beginning Amortized Cost + Discount Amortization = $9,915.66 + $95.78 = $10,011.44 (this should ideally be exactly $10,000, minor differences are due to rounding of the effective interest rate or initial price)
  5. Principal Repayment: $10,000.00 (the bond matures)
  6. Final Amortized Cost: $0 (after repayment)

This example illustrates how the amortized cost of the bond, recorded as a financial liability on Diversified Holdings Inc.'s balance sheet, gradually increases from its discounted issuance price to its face value by maturity.

Practical Applications

Amortized cost is a fundamental accounting measurement with broad applications across various financial sectors, especially in the context of debt instruments.

  • Banking and Lending: Banks and other financial institutions extensively use amortized cost to measure their loan portfolios. Loans and receivables, which are typically held with the objective of collecting contractual cash flows, are reported at amortized cost. This reflects the outstanding principal amount adjusted for unamortized loan origination fees or costs and any allowance for expected credit losses.
  • Corporate Finance: Companies report their issued bonds and other long-term debt securities at amortized cost on their balance sheets. This ensures that the interest expense recognized each period reflects the effective yield of the debt.
  • Insurance Companies: Insurers hold substantial portfolios of fixed-income investments. Those classified as "held-to-collect" are measured at amortized cost, providing a stable valuation basis consistent with their long-term liability profiles.
  • Regulatory Reporting: Regulators, such as the Securities and Exchange Commission (SEC) in the U.S., mandate specific accounting standards that often involve amortized cost measurements for publicly traded entities. The SEC plays a critical role in ensuring transparency and accuracy in financial reporting, influencing the application of U.S. GAAP standards set by the FASB.,

This measurement pro3v2ides a clear and consistent way to track the value of financial instruments over their lifespan, reflecting the economic substance of the contractual agreement.

Limitations and Criticisms

While amortized cost provides a stable and predictable measurement, it has certain limitations and has faced criticisms, particularly in comparison to fair value accounting.

One primary criticism is that amortized cost does not reflect current market conditions or changes in an instrument's fair value due to shifts in interest rates, credit spreads, or other market factors. For instruments intended for sale or trading, this can obscure the true economic value and potential profit or loss if they were to be realized. This lack of market sensitivity was a significant point of debate during the financial crisis, as assets held at amortized cost on bank balance sheets might have been significantly overvalued compared to their distressed market prices.

Another limitation, historically tied to IAS 39's "incurred loss" model, was the delayed recognition of credit losses. Under this model, impairment losses were only recognized when there was objective evidence of an actual "loss event," rather than anticipating future credit losses. This was widely criticized for leading to "too little, too late" provisioning for bad debts, exacerbating financial instability during downturns. The introduction of IFRS 9's "expected credit loss" model sought to address this by requiring entities to recognize provisions for credit losses earlier, based on forward-looking information.

Furthermore, the appl1ication of the effective interest method can be complex, especially for financial instruments with variable cash flows or embedded options, requiring significant judgment and robust internal systems.

Amortized Cost vs. Fair Value

The distinction between amortized cost and fair value is central to the classification and measurement of financial instruments under modern accounting standards like IFRS 9 and U.S. GAAP.

Amortized Cost represents the initial cost of a financial asset or liability, adjusted for the systematic recognition of interest income or expense using the effective interest method, and reduced by any principal repayments or impairment losses. This method is used when the entity's business model for managing the asset is to hold it to collect contractual cash flows, and those cash flows consist solely of payments of principal and interest income on the outstanding principal. It provides a historical, cost-based valuation that remains relatively stable over the instrument's life, reflecting the cash flows expected from the contractual agreement.

Fair Value, on the other hand, is the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date. Fair value reflects the current market price or an estimate derived from market inputs, even if the asset or liability is not intended for immediate sale. Financial instruments held for trading purposes or designated under specific fair value options are measured at fair value, with changes typically recognized in profit or loss or other comprehensive income. This method aims to provide users of financial statements with more relevant, up-to-date information about the economic value of assets and liabilities, particularly in volatile markets.

The key difference lies in their objective: amortized cost reflects the contractual cash flows and the effective yield over the instrument's life, whereas fair value reflects its current market-based exit price.

FAQs

What types of financial instruments are typically measured at amortized cost?
Financial instruments typically measured at amortized cost include loans, receivables, and certain debt securities (like bonds) where the entity's business model is to hold them to collect contractual cash flows and the cash flows are solely payments of principal and interest.

Why is the effective interest method used with amortized cost?
The effective interest method is used to ensure that the total interest income or expense over the life of the financial instrument is recognized systematically, reflecting a constant yield on the carrying amount. It properly accounts for any premiums or discounts over the instrument's term.

Does amortized cost reflect changes in market interest rates?
No, amortized cost does not directly reflect changes in market interest rates after initial recognition. It is a historical cost-based measurement. Only the fair value measurement captures these market fluctuations.

What happens to amortized cost if a loan goes bad?
If a loan goes bad, its amortized cost is reduced by an expected credit loss allowance. This allowance reflects the present value of the cash shortfalls expected over the life of the loan.

Is amortized cost used under both IFRS and U.S. GAAP?
Yes, the concept of amortized cost is used under both International Financial Reporting Standards (IFRS) and U.S. Generally Accepted Accounting Principles (GAAP). While the specific criteria and terminology may differ, both frameworks apply similar principles for measuring certain financial assets and liabilities this way.