Difficulty: Intermediate | Prerequisites: Understanding of the income statement, shareholders' equity, journal entries for inventory purchases, and time value of money basics.
This document covers four topics that round out the ACCTG 472 curriculum: earnings per share, share-based compensation, inventory systems, and bond accounting. These appear less connected on the surface, but they share a common thread: all of them require careful attention to how transactions are measured and when they are recognised.
EPS is the single most-watched per-share metric in financial reporting, and understanding how dilutive securities (options, convertible bonds) affect the calculation is essential. Share-based compensation drives meaningful expense recognition for virtually every public company. Inventory accounting, while more familiar from earlier courses, introduces specific journal entry mechanics (gross vs. net method, perpetual vs. periodic) that are tested directly. Bond accounting ties into both investments (from the holder's side) and liabilities (from the issuer's side).
If you are behind on any of these, this is a good place to start catching up, as the concepts are relatively self-contained.
Basic EPS uses only shares actually outstanding; diluted EPS incorporates the effect of potentially dilutive securities (options via the treasury stock method, convertibles via the if-converted method). Share-based compensation (RSAs, RSUs, stock options) is expensed at grant-date fair value over the vesting period. The perpetual inventory system updates COGS with every sale; the periodic system uses temporary accounts (Purchases, Freight-in) closed at year-end. Zero-coupon bonds record interest expense each period using the effective interest method despite no cash interest being paid.
Basic Earnings Per Share (Basic EPS)
Net income available to common shareholders divided by the weighted-average number of common shares outstanding. "Available to common shareholders" means net income minus preferred dividends (whether or not declared, if the preferred stock is cumulative).
Diluted Earnings Per Share (Diluted EPS)
Basic EPS adjusted for the effect of all potentially dilutive securities (stock options, warrants, convertible bonds, convertible preferred stock). Diluted EPS can never exceed Basic EPS; if a security would increase EPS, it is antidilutive and excluded.
Treasury Stock Method
Used to calculate the dilutive effect of stock options and warrants. Assumes all options are exercised, the proceeds are used to buy back shares at the average market price, and only the net incremental shares are added to the denominator.
If-Converted Method
Used for convertible bonds and convertible preferred stock. Assumes conversion occurred at the beginning of the period (or at issuance, if later). For convertible bonds, interest expense (net of tax) is added back to the numerator and the converted shares are added to the denominator.
Antidilutive Security
A potentially dilutive security that would increase EPS if converted or exercised. GAAP requires antidilutive securities to be excluded from the diluted EPS calculation.
Intrinsic Value (Stock Option)
The difference between the current market price of the shares and the exercise (strike) price of the option. If the market price exceeds the exercise price, the option is "in the money."
Restricted Stock Award (RSA)
Shares issued to the employee at the grant date, subject to a vesting period. The employee typically has voting and dividend rights from day one, but the shares are forfeited if they leave before vesting. Dilution occurs immediately.
Restricted Stock Unit (RSU)
A promise to issue shares at a future vesting date. No shares are issued until vesting, so dilution is delayed. RSUs are more common than RSAs because they allow the company to manage dilution more effectively.
Vesting Period
The period between the grant date and the date benefits are received (typically, when the shares or options become the employee's property).
Perpetual Inventory System
A system that updates the Inventory account and Cost of Goods Sold with every purchase and sale. No temporary accounts (Purchases, Freight-in) are needed.
Periodic Inventory System
A system that uses temporary accounts (Purchases, Freight-in, Purchase Returns) during the period. Inventory and COGS are determined only at period-end through a closing entry.
Gross Method (Inventory)
Records the purchase at the full invoice price. If the discount is taken, the Inventory account is credited for the discount amount at payment.
Zero-Coupon Bond
A bond issued at a deep discount that pays no periodic interest. The issuer records interest expense each period using the effective interest method as the discount is amortised.
Basic EPS
Basic EPS = (Net Income - Preferred Dividends) / Weighted-Average Common Shares Outstanding
For cumulative preferred stock, the preferred dividend is subtracted whether or not it was declared during the period. For non-cumulative preferred stock, subtract only if declared.
Diluted EPS: Treasury Stock Method (options and warrants)
The treasury stock method applies when the exercise price is below the average market price (the options are "in the money"). Steps:
Assume all options are exercised. New shares issued = number of options.
Calculate cash proceeds: Options x Exercise Price.
Assume proceeds are used to repurchase shares at the average market price: Proceeds / Average Market Price = Shares Repurchased.
Net incremental shares = Shares Issued - Shares Repurchased.
Add the net incremental shares to the denominator. The numerator does not change.
If the exercise price exceeds the average market price, the options are out of the money and antidilutive. Exclude them.
Diluted EPS: If-Converted Method (convertible bonds)
Assumes conversion occurred at the beginning of the period (or at issuance, if later).
Add back interest expense on the convertible bonds (net of tax) to the numerator.
Add the shares that would be issued upon conversion to the denominator.
If the resulting EPS is higher than Basic EPS, the convertible is antidilutive and must be excluded.
Worked example (from the practice exam):
Zeta Inc.: Net Income $1,000,000. Common shares 200,000. Cumulative preferred: 10,000 shares x $100 par x 5% = $50,000 dividend. Options: 50,000 at $20 exercise price, average market price $25.
Basic EPS = ($1,000,000 - $50,000) / 200,000 = $4.75
Treasury Stock Method: 50,000 shares issued, proceeds $1,000,000, repurchase 40,000 shares ($1,000,000 / $25). Net incremental = 10,000.
Diluted EPS = $950,000 / 210,000 = $4.52
General principle
All share-based compensation is measured at fair value on the grant date and expensed over the vesting (service) period. The total compensation cost does not change with subsequent market price movements (for equity-settled awards).
Total Compensation Expense = Number of Awards x Grant-Date Fair Value
Annual Expense = Total Compensation / Vesting Period
Restricted Stock Awards (RSAs) vs. Restricted Stock Units (RSUs)
RSAs: Shares are issued at the grant date. The employee may have voting and dividend rights immediately. Dilution occurs right away because the shares are outstanding from the grant date.
RSUs: No shares are issued until vesting. The employee receives no voting or dividend rights until shares are delivered. Dilution is delayed until the vesting date.
Both are expensed at grant-date fair value over the vesting period. The journal entry each year: Debit Compensation Expense, Credit Paid-in Capital (or APIC).
Stock options
Measured at fair value on the grant date (using an option pricing model such as Black-Scholes). Expensed over the vesting period. The intrinsic value (market price minus exercise price) is used for the treasury stock method in diluted EPS but is not how the compensation expense is measured.
Perpetual inventory system
The Inventory account and COGS are updated with every transaction.
Purchase: Debit Inventory, Credit Accounts Payable.
Sale: Debit COGS, Credit Inventory (for the cost); and Debit Accounts Receivable, Credit Sales Revenue (for the selling price).
No closing entry needed for Purchases or Freight-in because those accounts do not exist.
Periodic inventory system
Inventory is not updated during the period. Instead, purchases go to temporary accounts (Purchases, Freight-in, Purchase Returns and Allowances, Purchase Discounts). At year-end, a closing entry determines COGS.
COGS = Beginning Inventory + Purchases + Freight-in - Purchase Returns - Purchase Discounts - Ending Inventory
Gross method under a perpetual system (worked example)
Purchase $10,000 of inventory on account, terms 2/10, n/30:
Entry 1 (purchase): Debit Inventory $10,000, Credit Accounts Payable $10,000.
Entry 2 (payment within discount period): Debit Accounts Payable $10,000, Credit Inventory $200 (the 2% discount), Credit Cash $9,800.
The discount reduces the Inventory account directly, reflecting the lower actual cost of the goods.
Zero-coupon bonds
Issued at a deep discount to face value. No periodic cash interest is paid. The issuer still recognises interest expense each period as the discount is amortised using the effective interest method.
Interest Expense = Carrying Amount at Start of Period x Market Rate
The entire interest expense increases the carrying amount of the bond (since no cash is paid). By maturity, the carrying amount equals the face amount.
Effective interest method (general)
This is the required method under GAAP for amortising bond premiums and discounts, for both the issuer and the investor.
Interest Expense (issuer) or Interest Revenue (investor) = Carrying Amount x Effective (Market) Rate.
Cash Interest = Face Amount x Stated (Coupon) Rate.
Amortisation = the difference between interest expense/revenue and cash interest.
Interest Coverage Ratio
A commonly tested leverage metric: EBIT / Interest Expense. Lenders use it to assess a borrower's ability to service its debt (default risk). Higher is better.
Students often include potential shares from stock options in the Basic EPS denominator. Basic EPS uses only actual common shares outstanding. Options, warrants, and convertibles are included only in Diluted EPS.
Students frequently think compensation expense for RSUs is variable, changing with the market price each year. For equity-settled awards, the expense is fixed at the grant-date fair value and spread evenly over the vesting period.
In the periodic system, students sometimes try to debit Inventory directly for purchases. Under the periodic system, purchases go to the Purchases account. The Inventory account is only adjusted at year-end.
Students assume no interest expense exists for a zero-coupon bond because no cash interest is paid. Interest expense is recognised each period as the discount is amortised.
Students confuse antidilutive with dilutive. An antidilutive security would increase EPS if included. Since the purpose of diluted EPS is to show the worst case, antidilutive securities are excluded.
⚠️ EPS calculations are a near-certainty on the exam. Know the full Basic and Diluted EPS computation, including how cumulative preferred dividends are treated (subtracted whether or not declared).
⚠️ Treasury stock method steps: be able to compute net incremental shares from options. Know when options are antidilutive (exercise price > average market price).
⚠️ If-converted method: know that conversion is assumed at the beginning of the period and that interest expense (net of tax) is added back to the numerator.
⚠️ RSA vs. RSU timing difference: RSAs issue shares at grant (immediate dilution), RSUs issue shares at vesting (delayed dilution). This is a favourite short-answer question.
⚠️ Compensation expense calculation: Total = Shares x Grant-Date Fair Value. Annual = Total / Vesting Period.
⚠️ Perpetual vs. periodic inventory: know which system uses a Purchases account (periodic) and which updates COGS after every sale (perpetual).
⚠️ Gross method journal entries: be ready to write both entries (purchase and payment within the discount period).
⚠️ Zero-coupon bond interest expense: effective interest method, no cash paid, carrying amount increases each period.
True or false: Basic EPS includes potential shares from stock warrants. (False.)
Fill in the blank: The ______ method is used to calculate the dilutive effect of stock options for EPS. (Treasury stock.)
Fill in the blank: COGS is updated after every sale in the ______ inventory system. (Perpetual.)
True or false: An antidilutive security would increase EPS if converted. (True.)
Fill in the blank: The period between the grant date and the date benefits are received is the ______ period. (Vesting.)
Q: A company grants 1,000 RSUs with a 4-year vesting period. Grant-date fair value is $40 per share. How much compensation expense is recognised in Year 1?
A: Total = 1,000 x $40 = $40,000. Year 1 expense = $40,000 / 4 = $10,000.
Q: Differentiate between RSAs and RSUs regarding timing of share issuance and dilution.
A: RSAs issue shares at the grant date (immediate dilution, voting and dividend rights from day one). RSUs issue shares at the vesting date (delayed dilution, no voting or dividend rights until shares are delivered).
Q: Using the gross method under a perpetual system, provide journal entries for a $10,000 purchase on account (terms 2/10, n/30) and payment within the discount period.
A: Purchase: Debit Inventory $10,000, Credit AP $10,000. Payment: Debit AP $10,000, Credit Inventory $200, Credit Cash $9,800.
Q: A zero-coupon bond is issued at a deep discount. Is interest expense recorded?
A: Yes. Interest expense is recorded annually based on the effective interest method. The discount is amortised over the life of the bond, increasing the carrying amount each period.
Q: When calculating diluted EPS, the if-converted method for convertible bonds assumes conversion occurred at what point?
A: At the beginning of the period (or at the date of issuance, if later).
EPS connects to investments (convertible securities are potentially dilutive) and income taxes (the if-converted method adds back interest net of tax). Share-based compensation creates deferred tax assets, linking to the income taxes topic.
Inventory accounting connects to revenue recognition: the periodic system's closing entry is an indirect way to determine COGS, while the perpetual system recognises it directly at the point of sale.
Bond accounting from the issuer's side mirrors the investor's HTM accounting from the investments topic: both use the effective interest method, just from opposite perspectives.
earnings per share, EPS, basic EPS, diluted EPS, treasury stock method, if-converted method, antidilutive, cumulative preferred stock, preferred dividends, weighted-average shares, stock options, RSA, restricted stock award, RSU, restricted stock unit, vesting period, grant-date fair value, compensation expense, perpetual inventory, periodic inventory, purchases account, COGS, cost of goods sold, gross method, net method, purchase discount, 2/10 n/30, zero-coupon bond, effective interest method, bond discount amortisation, interest coverage ratio, default risk, ASC 718