Browse Financial Accounting and Reporting (FAR)

FAR Formula, Ratio, and Journal Entry Reference for Final Review

A final-review FAR reference for recurring formulas, ratio logic, and journal entry patterns that appear across financial accounting and reporting tasks.

Use this page as a late-stage FAR reference. The formulas and entries below are intentionally compressed, but the exam rarely rewards memorization alone. For each item, know the triggering fact pattern, the account affected, and the financial statement effect.

How to Use This Reference

FAR questions often combine a formula with a journal-entry consequence. A bond problem may require effective interest first, then the carrying amount. A receivables problem may require an allowance estimate first, then the correct write-off entry. A lease or revenue problem may ask for a balance sheet amount after several recognition events.

    flowchart LR
	    A["Read the fact pattern"] --> B{"Is the task a measurement question?"}
	    B -->|Yes| C["Identify the formula and period"]
	    B -->|No| D["Identify recognition, derecognition, or presentation"]
	    C --> E["Calculate the amount"]
	    D --> F["Choose the debit and credit effect"]
	    E --> G["Tie the result to the statement line item"]
	    F --> G

Before calculating, mark the date, reporting period, method, and account basis. Most FAR mistakes come from using the right formula on the wrong base.

Core Formulas

Area Formula Exam use
Basic EPS (\text{Basic EPS} = \frac{\text{Net income} - \text{Preferred dividends}}{\text{Weighted-average common shares}}) Use weighted shares, and subtract cumulative preferred dividends even if not declared.
Diluted EPS (\frac{\text{Adjusted income available to common}}{\text{Weighted shares + dilutive potential shares}}) Include only instruments that reduce EPS. Options, warrants, and convertibles use different adjustment logic.
Straight-line depreciation (\frac{\text{Cost} - \text{Salvage value}}{\text{Useful life}}) Apply partial-year conventions when the asset is placed in service mid-period.
Double-declining-balance depreciation (\frac{2}{\text{Useful life}} \times \text{Beginning book value}) Ignore salvage in the rate calculation, but do not depreciate below salvage value.
Units-of-production depreciation (\frac{\text{Cost} - \text{Salvage value}}{\text{Expected units}} \times \text{Actual units}) Match expense to activity rather than calendar time.
Effective interest expense (\text{Beginning carrying amount} \times \text{Market yield per period}) Use the market yield from issuance, not the stated coupon rate.
Cash bond interest (\text{Face amount} \times \text{Stated rate per period}) This is the cash paid, not necessarily interest expense.
Discount or premium amortization (\text{Interest expense} - \text{Cash interest paid}) A discount increases carrying amount; a premium decreases carrying amount.
Current ratio (\frac{\text{Current assets}}{\text{Current liabilities}}) Broad short-term liquidity measure.
Quick ratio (\frac{\text{Cash + marketable securities + net receivables}}{\text{Current liabilities}}) Excludes inventory and prepaid expenses.
Inventory turnover (\frac{\text{Cost of goods sold}}{\text{Average inventory}}) Use cost, not sales, in the numerator.
Accounts receivable turnover (\frac{\text{Net credit sales}}{\text{Average net receivables}}) Focuses on collection speed.
Gross margin percentage (\frac{\text{Net sales} - \text{COGS}}{\text{Net sales}}) Separates selling price effects from cost effects.
Return on assets (\frac{\text{Net income}}{\text{Average total assets}}) Measures profitability relative to asset base.
Return on equity (\frac{\text{Net income}}{\text{Average shareholders’ equity}}) Measures return to common and preferred equity financing.
Debt-to-equity (\frac{\text{Total liabilities}}{\text{Total shareholders’ equity}}) Solvency and leverage measure.
Times interest earned (\frac{\text{EBIT}}{\text{Interest expense}}) Measures ability to cover interest from earnings before interest and tax.

Formula Traps

Trap Correct exam discipline
Using ending shares for EPS Weight issuances, repurchases, stock dividends, and stock splits over the period.
Treating all potential shares as dilutive Exclude antidilutive securities from diluted EPS.
Mixing stated and effective bond rates Stated rate determines cash interest; effective rate determines interest expense.
Forgetting the direction of bond amortization Discount amortization raises carrying amount; premium amortization lowers it.
Using sales instead of COGS in inventory turnover Inventory is measured at cost, so turnover normally uses cost of goods sold.
Including inventory in the quick ratio The quick ratio is stricter than the current ratio and excludes inventory.
Depreciating below salvage value Accelerated methods stop when book value reaches salvage value.

Journal Entry Patterns

The exact account names in a simulation may vary, but the debit and credit logic should remain stable. Read each entry as an account-effect pattern rather than a script to memorize.

Receivables and Allowance Accounting

Estimate expected credit losses under the allowance method:

1Debit   Bad Debt Expense
2Credit  Allowance for Doubtful Accounts

Write off a specific account after it is deemed uncollectible:

1Debit   Allowance for Doubtful Accounts
2Credit  Accounts Receivable

Collect a receivable:

1Debit   Cash
2Credit  Accounts Receivable

Inventory and Cost of Goods Sold

Purchase inventory under a perpetual system:

1Debit   Inventory
2Credit  Cash or Accounts Payable

Record a sale under a perpetual system:

1Debit   Cash or Accounts Receivable
2Credit  Sales Revenue
3
4Debit   Cost of Goods Sold
5Credit  Inventory

The first pair records the customer transaction. The second pair removes the cost of the item sold.

Property, Plant, Equipment, and Depreciation

Acquire an asset:

1Debit   Property, Plant, and Equipment
2Credit  Cash, Accounts Payable, or Notes Payable

Record depreciation:

1Debit   Depreciation Expense
2Credit  Accumulated Depreciation

Dispose of equipment for proceeds above carrying amount:

1Debit   Cash
2Debit   Accumulated Depreciation
3Credit  Equipment
4Credit  Gain on Disposal

If proceeds are below carrying amount, debit a loss instead of crediting a gain.

Debt Issuance and Effective Interest

Issue bonds at a discount:

1Debit   Cash
2Debit   Discount on Bonds Payable
3Credit  Bonds Payable

Amortize a discount under the effective interest method:

1Debit   Interest Expense
2Credit  Discount on Bonds Payable
3Credit  Cash

Issue bonds at a premium:

1Debit   Cash
2Credit  Premium on Bonds Payable
3Credit  Bonds Payable

Amortize a premium under the effective interest method:

1Debit   Interest Expense
2Debit   Premium on Bonds Payable
3Credit  Cash

Revenue, Accruals, and Unearned Amounts

Recognize revenue when the performance obligation is satisfied:

1Debit   Cash or Accounts Receivable
2Credit  Revenue

Collect cash before satisfying the performance obligation:

1Debit   Cash
2Credit  Contract Liability or Unearned Revenue

Recognize revenue previously deferred:

1Debit   Contract Liability or Unearned Revenue
2Credit  Revenue

Accrue an expense incurred but not yet paid:

1Debit   Expense
2Credit  Accrued Liability

Pay an accrued liability:

1Debit   Accrued Liability
2Credit  Cash

Equity and Treasury Stock

Issue common stock for more than par:

1Debit   Cash
2Credit  Common Stock
3Credit  Additional Paid-in Capital

Repurchase shares using the cost method:

1Debit   Treasury Stock
2Credit  Cash

Reissue treasury stock above cost:

1Debit   Cash
2Credit  Treasury Stock
3Credit  Additional Paid-in Capital from Treasury Stock

Leases and Contingencies

Recognize a lease at commencement when the lessee records a right-of-use asset and lease liability:

1Debit   Right-of-Use Asset
2Credit  Lease Liability

Record a finance lease payment:

1Debit   Interest Expense
2Debit   Lease Liability
3Credit  Cash

Record amortization of the finance lease right-of-use asset:

1Debit   Amortization Expense
2Credit  Accumulated Amortization

Accrue a probable and reasonably estimable loss contingency:

1Debit   Loss
2Credit  Liability

If the loss is only reasonably possible, recognition is generally not appropriate, but disclosure may be required.

Worked Mini-Example

Assume a company issues a $100,000 bond at a discount. The stated annual rate is 10%, the market yield is 12%, annual interest is paid in cash, and the beginning carrying amount is $96,535.80.

[ \text{Cash interest} = 100{,}000 \times 10% = 10{,}000 ]

[ \text{Interest expense} = 96{,}535.80 \times 12% = 11{,}584.30 ]

[ \text{Discount amortization} = 11{,}584.30 - 10{,}000 = 1{,}584.30 ]

The entry is:

1Debit   Interest Expense                 11,584.30
2Credit  Discount on Bonds Payable         1,584.30
3Credit  Cash                             10,000.00

After the entry, the bond’s carrying amount is $98,120.10. The discount credit reduces the unamortized discount, which increases the net carrying amount of the debt.

Final Review Checklist

  • Identify whether the task is asking for measurement, recognition, presentation, or disclosure.
  • Match numerator, denominator, and period before computing a ratio.
  • Separate cash paid from expense recognized.
  • Use carrying amount, not face amount, for effective-interest calculations.
  • Trace every journal entry to at least one financial statement effect.
  • For simulations, label accounts carefully before entering amounts.

Quiz: Formulas, Ratios, and Entry Patterns

### A company has net income of $900,000, cumulative preferred dividends of $60,000, and weighted-average common shares of 210,000. What is basic EPS? - [ ] $4.29 - [x] $4.00 - [ ] $4.57 - [ ] $3.71 > **Explanation:** Basic EPS is \((900,000 - 60,000) / 210,000 = 4.00\). ### Under the effective interest method, interest expense on a bond is based on: - [ ] Face value multiplied by the stated rate - [ ] Face value multiplied by the market rate at the reporting date - [x] Beginning carrying amount multiplied by the effective yield per period - [ ] Cash paid multiplied by the effective yield per period > **Explanation:** Effective interest expense uses the beginning carrying amount and the market yield established at issuance. ### Which statement correctly describes bond discount amortization? - [ ] It decreases the carrying amount of the bond liability. - [x] It increases the carrying amount of the bond liability. - [ ] It has no effect on carrying amount. - [ ] It is recorded only at maturity. > **Explanation:** Amortizing a discount reduces the contra-liability discount account, increasing the net carrying amount of the bond. ### Which entry records a write-off under the allowance method? - [ ] Debit Bad Debt Expense; credit Accounts Receivable - [x] Debit Allowance for Doubtful Accounts; credit Accounts Receivable - [ ] Debit Accounts Receivable; credit Allowance for Doubtful Accounts - [ ] Debit Cash; credit Bad Debt Expense > **Explanation:** A specific write-off uses the existing allowance and removes the receivable. It does not create new bad debt expense at the write-off date. ### Which ratio excludes inventory from the numerator? - [ ] Current ratio - [x] Quick ratio - [ ] Inventory turnover - [ ] Gross margin percentage > **Explanation:** The quick ratio uses cash, marketable securities, and net receivables, but excludes inventory and prepaid expenses. ### In a perpetual inventory system, the sale of inventory normally requires: - [ ] Only an entry to debit cash and credit inventory - [ ] Only an entry to debit cost of goods sold and credit sales revenue - [x] One entry for revenue and receivable or cash, plus one entry for cost of goods sold and inventory - [ ] No entry until the end of the period > **Explanation:** A perpetual system records both the sales transaction and the cost flow when inventory is sold. ### Which formula is used for inventory turnover? - [x] Cost of goods sold divided by average inventory - [ ] Net sales divided by average inventory - [ ] Average inventory divided by cost of goods sold - [ ] Gross profit divided by average inventory > **Explanation:** Inventory turnover uses cost of goods sold because inventory is measured at cost. ### A company records depreciation on equipment used in operations. Which entry is correct? - [x] Debit Depreciation Expense; credit Accumulated Depreciation - [ ] Debit Equipment; credit Depreciation Expense - [ ] Debit Accumulated Depreciation; credit Equipment - [ ] Debit Depreciation Expense; credit Equipment > **Explanation:** Accumulated depreciation is the contra-asset account. The equipment account itself is not credited for routine depreciation. ### Which ratio best measures the ability to cover interest obligations from earnings? - [ ] Debt-to-equity - [ ] Current ratio - [x] Times interest earned - [ ] Accounts receivable turnover > **Explanation:** Times interest earned equals EBIT divided by interest expense. ### Cash collected before a performance obligation is satisfied is initially recorded as: - [ ] Revenue - [ ] Accounts receivable - [x] Contract liability or unearned revenue - [ ] Additional paid-in capital > **Explanation:** Cash received before performance creates an obligation to transfer goods or services later, so it is recorded as a liability until revenue is earned.
Revised on Monday, June 15, 2026