Interview Questions156

    Dilution Analysis: How Follow-On Offerings Affect EPS

    Follow-on offerings dilute EPS via share count increase but can be accretive if use-of-proceeds returns exceed the issuer's pre-deal earnings yield.

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    17 min read
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    2 interview questions
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    Introduction

    Dilution analysis sits at the intersection of accounting, valuation, and ECM marketing. Every follow-on offering increases the issuer's share count and therefore creates per-share dilution unless the use of proceeds generates incremental earnings that more than offset the share-count increase. ECM bankers running follow-on transactions need to be fluent in the dilution math because the issuer's CFO and the institutional investors evaluating the deal both focus heavily on the per-share impact. The analysis combines three principal frameworks: the treasury stock method (for in-the-money options and warrants), the weighted-average share count (for partial-period issuance), and the pro-forma EPS bridge (for the use-of-proceeds offset). Together these frameworks produce the post-deal EPS analysis that informs the deal's marketing and the issuer's investor messaging. A $1 billion follow-on at a 7 percent debt-paydown use-of-proceeds and a 12 percent capex use-of-proceeds can flip from 5.2 percent accretive to 0.8 percent accretive on a six-percentage-point swing in capex returns, which is exactly the kind of sensitivity issuers' CFOs and institutional investors push hardest on during the bookbuild.

    Basic Versus Diluted Share Count

    The dilution analysis starts with a careful distinction between basic and diluted share counts.

    Basic Share Count

    Basic shares outstanding equal the issuer's actual common shares outstanding at any given moment. The basic share count is the simplest denominator for EPS calculations and is the starting point for dilution analysis on follow-on offerings.

    Diluted Share Count

    Diluted shares outstanding adjust the basic count for potentially dilutive securities (in-the-money options and warrants, convertible bonds, restricted stock units, performance stock units). The treasury stock method governs the calculation for options and warrants; the if-converted method governs the calculation for convertible bonds (revised under ASU 2020-06).

    Follow-On Shares Hit Both Counts

    Follow-on offerings increase both the basic and diluted share counts because the new shares are unconditionally outstanding from issuance. The dilution impact on diluted EPS is therefore straightforward: new shares simply add to the existing diluted share count without further adjustment for treasury-stock-method or if-converted mechanics. The complication arises when the issuer has substantial pre-existing convertible bonds or option pools whose dilutive impact interacts with the follow-on's primary issuance.

    The Treasury Stock Method

    The treasury stock method handles in-the-money stock options and warrants for diluted EPS calculations.

    Mechanics of the Treasury Stock Method

    The method makes three assumptions:

    • All in-the-money options and warrants are exercised at the beginning of the reporting period, producing additional shares outstanding.
    • The proceeds from exercise are used by the company to buy back its own shares at the average market price during the period.
    • The net incremental shares (assumed issued less assumed bought back) are added to the diluted share count:
    Net Incremental Shares=NoptionsNoptions×KPavg\text{Net Incremental Shares} = N_{\text{options}} - \frac{N_{\text{options}} \times K}{P_{\text{avg}}}

    where NoptionsN_{\text{options}} is the number of in-the-money options, KK the strike price, and PavgP_{\text{avg}} the average market price during the period.

    The Buyback Offset Logic

    The treasury stock method captures the fact that option exercise produces shares but the issuer's offsetting buyback partially neutralizes the dilution. For an option with $50 strike on a stock trading at $100: assumed exercise of 1,000 options produces 1,000 new shares; assumed proceeds of $50,000 buys back 500 shares at the $100 market price; net dilution is 500 incremental shares (the difference). The method understates economic dilution slightly (real-world option exercise rarely produces immediate offsetting buybacks at average market prices) but is the standard accounting framework.

    Applied to Follow-On Analysis

    ECM bankers running follow-on dilution analysis include the treasury-stock-method incremental shares in the diluted share count, then add the follow-on primary shares on top, then calculate the use-of-proceeds EPS impact. The combined dilution profile gives the post-deal diluted EPS.

    Treasury Stock Method

    The accounting framework under ASC 260 used to calculate diluted EPS by handling in-the-money stock options and warrants. The method assumes (1) all in-the-money options are exercised at the beginning of the period, (2) the issuer uses the exercise proceeds to buy back its own shares at the average market price, and (3) the net incremental shares are included in the diluted share count. The method understates economic dilution slightly (real-world buybacks rarely happen at average prices) but is the standard accounting framework and the foundation of every follow-on dilution analysis.

    The If-Converted Method

    The if-converted method handles convertible bonds (and other convertible securities) for diluted EPS calculations. The mechanics are different from the treasury stock method because conversion does not produce cash proceeds the issuer can use for buybacks.

    Mechanics of the If-Converted Method

    The method assumes:

    • All convertibles are converted at the beginning of the reporting period (or issuance date, if later), producing the full conversion-share count.
    • The after-tax interest expense the issuer would no longer pay is added back to net income (numerator adjustment).
    • The resulting EPS is compared to basic EPS to determine whether the convertible is dilutive (if-converted EPS lower than basic EPS) or anti-dilutive (if-converted EPS higher; convertible is excluded from diluted EPS).
    If-Converted Diluted EPS=Net Income+After-Tax Interest on ConvertibleDiluted Shares+Conversion Shares\text{If-Converted Diluted EPS} = \frac{\text{Net Income} + \text{After-Tax Interest on Convertible}}{\text{Diluted Shares} + \text{Conversion Shares}}

    The result is included in reported diluted EPS only if it is dilutive (lower than basic EPS); anti-dilutive convertibles are excluded under ASC 260.

    Worked Example

    A typical issuer has $100 million of 5 percent convertible bonds outstanding, converting into 5 million shares at a $20 conversion price. Standalone net income is $50 million, basic shares are 50 million, basic EPS $1.00, effective tax rate 25 percent. Under if-converted: numerator adjustment adds back $5M ×(125%)=\times (1 - 25\%) = $3.75M of after-tax annual interest expense, producing pro-forma net income of $50M ++ $3.75M == $53.75M. Denominator adjustment adds 5 million conversion shares to the basic 50 million, producing pro-forma diluted shares of 55 million. Diluted EPS == $53.75M /55/ 55M == $0.977, lower than basic EPS of $1.00, so the convertible is dilutive and the conversion shares plus interest add-back are included in diluted EPS.

    ASU 2020-06 Net-Share Settlement Adjustment

    ASU 2020-06 (effective for SEC filers excluding smaller reporting companies for fiscal years beginning after December 15, 2021) modifies the if-converted method for "Instrument C" net-share-settled convertibles where principal is settled in cash and only the conversion-spread excess is settled in shares. Under the modified mechanic: interest expense is not added back to the numerator (because the issuer is still paying cash interest until conversion), and the denominator adds only the net incremental conversion shares (the conversion-spread excess), not the full conversion-share count. The modified treatment is materially less dilutive than the standard if-converted method and is one of the reasons cash-settled convertibles became more attractive structurally post-ASU 2020-06.

    The Weighted-Average Share Count

    For partial-period issuance, EPS uses weighted-average shares outstanding rather than period-end shares.

    Time-Weighting Across the Reporting Period

    EPS is calculated for an annual or quarterly period. If the issuer's share count changes during the period (because of a follow-on offering, buyback, or other corporate action), the share count used in the EPS denominator weights each share by the fraction of the period during which it was outstanding. A share issued at mid-year contributes 0.5 share-years to the annual weighted average; a share issued at year-end contributes 0 share-years to that year's average and 1.0 share-year to the next year's.

    Applied to Follow-On Analysis

    A follow-on issued in Q3 of a calendar year affects the annual weighted-average share count by approximately 25 percent of the new shares' nominal count (assuming an October 1 issuance: 3 months of 12, equals 0.25 share-years per new share). The full annualized dilution impact only manifests in the year following the issuance.

    Forward-Looking Pro-Forma EPS

    For ECM marketing materials, bankers typically present pro-forma EPS that assumes the follow-on shares were outstanding for the full year, providing a steady-state view that is comparable across periods. The pro-forma analysis is what investors use to evaluate the deal's per-share impact, and the actual reported EPS in the issuance year may differ from the pro-forma based on the timing.

    The Use-of-Proceeds Offset

    The numerator side of the dilution analysis depends on what the issuer does with the cash raised in the follow-on.

    Use-of-Proceeds Categories

    Common follow-on use-of-proceeds categories include debt paydown (which produces interest-expense savings), capex investment (which produces incremental future earnings), M&A funding (which produces target-company earnings less integration costs), and general corporate purposes (which produces incremental balance-sheet flexibility but no immediate earnings impact).

    Calculating the Offset

    The numerator effect equals the after-tax incremental earnings from deploying the proceeds. For debt paydown: proceeds times outstanding debt's after-tax interest rate equals annual savings. For capex: incremental EBITDA from the capex less D&A, taxed at the issuer's effective tax rate. For M&A: target-company earnings less integration costs, plus any synergies. The combined numerator effect is added to the issuer's existing net income to produce pro-forma net income.

    Pro-Forma EPS

    The earnings per share calculation that adjusts standalone net income and share count for the impact of a contemplated transaction (follow-on offering, M&A acquisition, divestiture). Pro-forma EPS analyses include the use-of-proceeds offset on the numerator (incremental earnings from deploying the capital) and the share-count change on the denominator (new primary shares issued). The accretion/dilution test compares pro-forma EPS to standalone EPS to determine whether the transaction creates or destroys per-share value.

    Pro-Forma EPS Bridge

    Basic and pro-forma diluted EPS are defined as:

    Basic EPS=Net IncomeWeighted-Avg Basic Shares\text{Basic EPS} = \frac{\text{Net Income}}{\text{Weighted-Avg Basic Shares}}
    Pro-Forma Diluted EPS=Net Income+ΔEarningsDiluted Shares+Nnew\text{Pro-Forma Diluted EPS} = \frac{\text{Net Income} + \Delta \text{Earnings}}{\text{Diluted Shares} + N_{\text{new}}}

    where ΔEarnings\Delta \text{Earnings} is the after-tax incremental earnings from the use-of-proceeds offset and NnewN_{\text{new}} is the count of newly issued primary shares. Accretion-dilution is then a simple percentage:

    Accretion %=Pro-Forma EPSStandalone EPS1\text{Accretion \%} = \frac{\text{Pro-Forma EPS}}{\text{Standalone EPS}} - 1

    The deal is accretive if accretion is positive and dilutive if negative.

    1

    Calculate Standalone Diluted EPS

    Start with the issuer's actual diluted EPS (treasury-stock-method shares plus convertibles plus other dilutive securities).

    2

    Add Follow-On Primary Shares

    Add the new shares from the primary follow-on component to the diluted share count, weighted for the period if needed.

    3

    Calculate Numerator Impact

    Compute the after-tax incremental earnings from the use of proceeds (debt paydown savings, capex EBITDA, M&A earnings).

    4

    Build Pro-Forma Net Income

    Add incremental earnings to standalone net income to produce pro-forma net income.

    5

    Compute Pro-Forma EPS

    Divide pro-forma net income by pro-forma diluted share count.

    6

    Calculate Accretion/Dilution

    Express pro-forma EPS as a percentage of standalone EPS; positive equals accretion, negative equals dilution.

    7

    Stress Test

    Run sensitivity analysis on use-of-proceeds returns, share-count assumptions, and integration timing.

    Multiple Worked Scenarios

    Beyond the single core example, several issuer profiles produce recognizable dilution patterns worth working through.

    Pure Debt Paydown Follow-On

    An issuer raising $500 million entirely to pay down 8 percent debt at a 20 percent effective tax rate produces approximately $32 million of annual after-tax interest savings. Against a typical 10 to 15 percent share-count increase, the deal is moderately accretive at issuer earnings yields below 6 percent and dilutive above that level. Bankers running pure-debt-paydown follow-ons emphasize the interest-expense savings and the credit-rating benefit during marketing.

    M&A Funding Follow-On

    An issuer raising $1 billion to fund a strategic acquisition with target-company $80 million EBITDA and $30 million synergies produces approximately $110 million of incremental EBITDA, less integration costs, less D&A on the purchase-price step-up. The deal is typically accretive from year 2 or 3 if the synergies materialize on schedule. M&A-funded follow-ons require careful synergy disclosure during marketing.

    Capex Investment Follow-On

    An issuer raising $1 billion for capex deploying at 12 percent ROIC produces approximately $120 million of incremental EBITDA, less incremental D&A, taxed at the issuer's effective rate. The deal is accretive over the medium term as the capex projects scale, with year-one impact typically modest because of the deployment timing.

    Worked Example

    A representative follow-on dilution analysis on a typical issuer.

    Setup

    Issuer: $10 billion market cap, 100 million diluted shares, $500 million standalone net income, so standalone diluted EPS of $5.00. Follow-on raises $1 billion at $95 per share (5 percent IPO discount), issuing approximately 10.5 million new shares. Use of proceeds: 60 percent debt paydown of 7 percent debt, 40 percent capex with expected 12 percent after-tax return.

    Numerator Calculation

    Debt paydown: $600M ×7%×(121%)=\times 7\% \times (1 - 21\%) = $33.2M of after-tax interest savings annually. Capex: $400M ×12%=\times 12\% = $48M of after-tax incremental earnings annually. Combined incremental earnings: approximately $81M annually.

    Denominator Calculation

    Pre-deal diluted shares: 100 million. Post-deal diluted shares: $100\text{M} + 10.5\text{M} = 110.5\text{M}$.

    Pro-Forma EPS

    Pro-forma net income: $500M ++ $81M == $581M. Pro-forma diluted shares: 110.5 million. Pro-forma EPS: $5.26. The deal is approximately 5.2 percent accretive to EPS, with the use-of-proceeds offset more than compensating for the share-count dilution.

    What If the Use of Proceeds Underperforms

    If the capex returns 6 percent rather than 12 percent: capex incremental earnings become $24 million rather than $48 million; total incremental earnings of $57.2 million; pro-forma net income of $557.2 million; pro-forma EPS of $5.04. The deal is barely accretive (0.8 percent) rather than the 5.2 percent at the 12 percent return assumption. The sensitivity illustrates why bankers stress-test the use-of-proceeds return assumptions before finalizing the dilution analysis.

    Anti-Dilution Provisions and Convertible Interactions

    Beyond the basic dilution math, several specific structural features can amplify or offset the dilution impact of a follow-on.

    Anti-Dilution Adjustments on Pre-Existing Convertibles

    Issuers with outstanding convertible bonds typically have anti-dilution provisions that adjust the conversion ratio when the issuer issues new shares at below-market prices (which IPOs and follow-ons typically do). The adjustment increases the convertible's effective dilution if the bonds eventually convert. ECM bankers running follow-ons need to track outstanding convertible terms and quantify any anti-dilution adjustment that the follow-on triggers.

    Standstill and Lockup Considerations

    Follow-on offerings frequently include lockup provisions on insiders, sponsors, and the issuer itself, restricting additional issuance for 60 to 180 days post-deal. The lockups address concerns about cumulative dilution from rapid successive issuances and signal commitment to the deal's pricing. Standard follow-on lockups run 60 to 90 days; sponsor-led secondary follow-ons sometimes include longer 120 to 180 day lockups on the remaining sponsor stake to manage post-deal supply expectations.

    The Buyback Offset

    Issuers concerned about dilution sometimes pair the follow-on with a concurrent share buyback to partially offset the share-count increase. The structure is more common in convertible deals (under Reg M's 144A exemption) but appears occasionally in straight follow-ons. A standalone ASR can also be paired into the dilution conversation: Albertsons announced a $750 million ASR with JPMorgan in October 2025 targeting approximately 8 percent of outstanding shares for immediate EPS accretion, illustrating how issuers use ASRs as a parallel capital-allocation lever to offset other dilutive events.

    EPS Guidance Updates

    Issuers typically update their forward EPS guidance following a meaningful follow-on to reflect the new diluted share count. The guidance update is often the principal post-deal market signal, and bankers help the issuer's IR team craft the messaging carefully to support post-deal trading. Issuers that update guidance to fully incorporate the use-of-proceeds offset typically maintain accretive guidance even after the share-count increase; issuers that update only the share-count denominator without revising the numerator produce optically dilutive guidance that hurts post-deal trading.

    Dilution Politics on Live Deals

    Beyond the mechanical calculation, the dilution analysis interacts with the deal in several recognizable patterns.

    Sponsor Secondary Considerations

    Sponsor secondary follow-ons (where proceeds flow to the selling sponsor rather than the issuer) face a particular dilution challenge: the issuer gets no use-of-proceeds offset, so the deal is purely dilutive on a per-share basis until the sponsor's overhang clears. Sponsor-led secondaries have weaker dilution arguments than primary deals and typically face more buyer scrutiny, with bookrunners explicitly framing the case as a sponsor-monetization event rather than an issuer-driven capital raise.

    Mixed Primary/Secondary Deals

    Mixed deals combine primary issuance (with use-of-proceeds offset) and secondary issuance (no offset). The dilution analysis bridges the two: bankers separate the primary from the secondary and present the use-of-proceeds offset against the primary share count only. The mixed-deal analysis is more complex but produces a defensible case if the primary use-of-proceeds is strong. Approximately 35 percent of 2025 follow-ons included a secondary component (above the 5-year median of 24 percent), increasing the prevalence of mixed-deal dilution analysis across the market.

    Convertible Issuance Comparison

    Follow-on dilution analysis frequently includes a comparison to alternative structures, particularly convertible bonds. Convertibles produce contingent dilution (only if the stock trades through the conversion price) versus the follow-on's immediate dilution. The comparison is part of the structuring conversation between the issuer and the bank's coverage and equity-linked teams. For a typical issuer, the convertible dilution profile delivers approximately 30 to 50 percent less near-term per-share impact than an equivalent-size follow-on, in exchange for the convertible's specific structural features (coupon, soft-call, conversion premium).

    Post-Deal Tracking

    Post-deal, ECM bankers track whether the issuer's actual EPS performance matches the pro-forma analysis presented at marketing. Sustained accretion supports the bank's coverage relationship and credibility; underperformance versus the pro-forma case damages both the bank and the issuer's later capital-markets reception. The post-deal tracking discipline is one of the principal reasons strong banks invest in clean dilution analysis upfront.

    Theoretical Ex-Rights Price Cross-Check

    For rights offerings, the dilution analysis includes a Theoretical Ex-Rights Price (TERP) calculation: the post-issuance share price assuming full exercise at the subscription price. TERP equals the weighted average of the cum-rights price and the subscription price weighted by the share counts. The TERP framework is conceptually parallel to follow-on dilution analysis but operates in the rights-issue context where the issuance price is below market and the dilution profile is structurally different.

    A treasury-stock denominator, a weighted-average bridge across partial-period issuance, and a use-of-proceeds offset on the numerator: those three pieces compose every follow-on dilution model that defends a deal at marketing. The next several articles shift from the math of the deal to the people taking the other side of it: investor-base segments, the cornerstone-investor framework, the investor-targeting analysis, and the shareholder-analysis framework that anchors every roadshow.

    Interview Questions

    2
    Interview Question #1Medium

    A company has $200M of net income and 100M shares outstanding (EPS = $2.00). It does a $300M follow-on at $30 per share, raising 10M new shares. The proceeds are used to repay $300M of 6% pre-tax debt. Assume a 25% tax rate. What is pro-forma EPS, and is the deal accretive or dilutive?

    New shares: 10M (raised at $30 = $300M).

    Post-deal share count: 100M + 10M = 110M.

    Interest savings: $300M × 6% = $18M pre-tax = $18M × (1 − 25%) = $13.5M after-tax interest savings.

    Pro-forma net income: $200M + $13.5M = $213.5M.

    Pro-forma EPS: $213.5M / 110M = $1.94.

    Standalone EPS was $2.00; pro-forma is $1.94. The deal is dilutive to EPS by 3.0%.

    Why it's dilutive: the new equity is being issued at an earnings yield of EPS / price = $2 / $30 = 6.67%, while the after-tax cost of the debt being repaid is 6% × (1 − 25%) = 4.5%. Since 6.67% > 4.5%, the company is funding the swap at a higher cost than the debt it's paying off, so the deal is dilutive.

    Breakeven analysis: to be neutral, raise price would need to be where new EPS = $2.00. Solve: $213.5M / X = $2.00 → X = 106.75M total shares → 6.75M new shares. New shares × price = $300M → price = $300M / 6.75M = $44.44.

    So the deal would need to price at $44.44 (vs $30) to be EPS-neutral. At $30, it is dilutive.

    Interview Question #2Hard

    A REIT has $500M of NOI, 80M shares outstanding, and trades at $30 per share. It does a $400M follow-on at $28 to fund a $400M acquisition that will produce $30M of incremental NOI. Is this AFFO-accretive? Use a 12% capitalization rate on the existing portfolio for context.

    Standalone NOI per share: $500M / 80M = $6.25/share of NOI (rough proxy for AFFO-per-share momentum).

    New shares from offering: $400M / $28 = 14.3M shares.

    Post-deal share count: 80M + 14.3M = 94.3M.

    Pro-forma NOI: $500M + $30M = $530M.

    Pro-forma NOI per share: $530M / 94.3M = $5.62.

    Comparison: $5.62 vs $6.25 standalone = 10% dilutive on NOI/share.

    Cap rate analysis on the acquisition: $30M NOI on $400M = 7.5% cap rate, vs the existing portfolio's implied 12% cap rate. Buying assets at 7.5% when existing NOI streams imply a 12% cap means the company is paying a premium per dollar of incremental NOI, which is the structural reason the deal dilutes per-share NOI.

    Conclusion: the deal is meaningfully dilutive to AFFO/share. The REIT would only do this if (1) the acquired property has stronger NOI growth than the existing portfolio (closing the gap over time), (2) there is a strategic rationale beyond per-share NOI (geography, scale, deleveraging), or (3) the equity raise is at depressed prices and management expects the discount to close. Otherwise this is a value-destructive transaction on a per-share basis.

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