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Private Equity Analyst · CoreTrack
1Corporate Finance & Valuation
iCorporate Finance Fundamentals
Corporate FinanceCorporate Finance vs AccountingAgency CostsThe Financial ObjectiveThe Financing DecisionThe Investment DecisionProfit Maximisation vs Value…How Capital Allocation Affects…
iiTime Value of Money
Time Value of MoneyTime Value of MoneyCompoundingNominal and Effective Annual RatesThe Discount RateNominal vs Real Discount RateAnnuity vs Perpetuity
iiiCash Flow and Value Drivers
ReinvestmentReinvestment RateRevenue GrowthRevenue Growth vs ReinvestmentReturns in Corporate FinanceValue DriversOperating MarginEconomic ProfitFCFF vs FCFEHow to Normalise Earnings…
ivCost of Capital
The Cost of CapitalCost of CapitalSunk Cost vs Opportunity CostHow to Estimate a…Levered and Unlevered BetaCountry Risk PremiumEquity Risk PremiumThe Risk-Free Rate
vCapital Structure
Capital StructureHow to Analyse a…Financial LeverageOperating Leverage vs Financial…RecapitalisationDebt FinancingDebt CapacityGross Debt vs Net DebtEquity FinancingHow Leverage Can Increase…Refinancing RiskFinancial Distress
viCapital Budgeting
Capital BudgetingSunk CostsDiscounted PaybackPayback vs Discounted PaybackNet Present ValueInternal Rate of ReturnProject AppraisalIndependent vs Mutually Exclusive…How to Resolve NPV and IRR Conflicts
viiWorking Capital Finance
Capital RationingWorking Capital FinancingExcess CashCash ManagementShort-Term Financing
viiiPayout Policy
Payout PolicyPayout and Return of CapitalDividendsDividend Yield vs Payout RatioSignallingShare BuybacksDividend vs Buyback
ixValuation Fundamentals
ValuationValuation RangeFCFF vs FCFE ValuationSOTP vs Consolidated ValuationHow to Build a DCF ValuationHow to Build a…How to Build a…Firm Value and Equity ValueReplacement CostShareholder ValueEnterprise-to-Equity Value BridgeSum-of-the-PartsEnterprise Value vs Equity ValueValue vs PriceAsset Value vs Earnings ValueBook Value vs Adjusted Book ValueLiquidation Value vs Going-Concern…
xDiscounted Cash Flow
Discounted Cash FlowTerminal ValueNormalisationThe Forecast HorizonIncremental Cash FlowFree Cash Flow to FirmDiscounted Cash FlowBase Case vs Bull Case vs Bear CaseTwo-Stage vs Three-Stage DCFForward vs Historical FinancialsOperating vs Non-Operating AssetHow to Forecast Free Cash FlowHow to Audit a DCF Model
xiRelative Valuation
Relative ValuationDCF vs Relative ValuationConglomerate DiscountComparable Company AnalysisHow to Select Comparable CompaniesTrading MultiplesTrading Multiples
xiiTransaction Valuation
Transaction ValueDeal Value vs Enterprise ValueSources and UsesAccretion and DilutionHow to Analyse Accretion…Leveraged BuyoutManagement RolloverMinority Interest in ValuationControl Premium vs Minority DiscountPrecedent TransactionsLBO ReturnsTrading Comps vs Precedent TransactionsStrategic Buyer vs Financial BuyerHow to Build an…
xiiiValuation Discipline
Decision Rules in ValuationHow Valuation Ranges Improve…Implied AssumptionsImplied GrowthBase, Bull and BearScenario vs Sensitivity AnalysisMargin of SafetyHow to Check Discount…
2Transactions & Corporate Finance
iCapital Raising
Private PlacementRights Issue or Private PlacementSecondary SalePrimary Issue or Secondary SaleRefinancingConvertible Securities in a RaiseNet DebtUse of ProceedsAccretion Or DilutionHow To Analyse Financing…How To Map The…
iiMergers and Acquisitions
SynergyAsset Purchase or Share PurchaseExchange Ratio or Purchase PriceThe Deal RationaleDeal TermsIntegrationThe Integration PlanThe Value Creation PlanThe Synergy RegisterSynergy or Cost SavingThe Post-Merger ReviewMerger or AcquisitionReinvestment or Acquisition Spend
iiiThe Transaction Process, Governance and Communications
What a Transaction Is,…Signing and ClosingThe Term SheetTerm Sheet or Definitive AgreementThe MandateThe Data RoomThe Letter of IntentMaterial Information in a DealMaterial or Confidential InformationThe Deal Communication PlanInvestor or Employee MessageThe LeakThe Deal TeamThe Independent CommitteeHow an Information Barrier…Market SoundingThe Deal Stakeholder MapThe Deal TimelineDeal Outcome or Process QualityHow to Map a…The Long-Stop DateDeal RumoursDue Diligence or AuditConstruction Risk or Operating RiskRegulatory Approval or Third-Party ConsentExclusivity or ConfidentialityConditions Precedent or Subsequent
ivTransaction Documentation
Representations and WarrantiesThe Definitive AgreementThe Disclosure ScheduleThe Non-CompeteBreak Fee, Reverse Break…Termination RightsIndemnity, Covenant and UndertakingLimitation of LiabilityCompletion Accounts vs Locked BoxIndemnity vs EscrowHoldback vs EscrowHow to Build a…
vTransaction Valuation
ConsiderationBuilding a Consideration AnalysisComparable Companies in a DealEnterprise Value in a DealEquity ValuePurchase Price MechanicsThe Reservation PriceThe Fairness OpinionTransaction Risk and Integration RiskConflict of Interest and…Transaction Announcement and Market RumourBuilding a Diligence Workplan…Framing a Valuation Inside a TransactionKeeping a Transaction Decision…Writing a Transaction Case Study
viDeal Execution
Deal CertaintyConditions Precedent, Regulatory and…Deal Narrative vs Investment CaseThe Closing ChecklistMaterial Adverse ChangeClosing Deliverables
viiRestructuring
RestructuringHow to Map a…Demerger, Spin-Off and Carve-OutInsolvencyThe Distressed SaleThe Asset SaleThe Scheme of ArrangementThe TurnaroundDemerger vs Spin-OffTurnaround vs Debt Restructuring
viiiProject Finance
Project FinanceProject Finance vs Corporate FinanceHow to Map a…How to Review Project-Finance…The Project LenderSponsor vs LenderThe ConcessionDebt Service, the Cover…Debt Capacity and Debt OutstandingThe Offtake AgreementPolitical RiskHow to Build a…The Special Purpose VehicleCoverage RatiosDSCR and Interest Coverage
ixCapital Allocation
Capital AllocationHow to Build a…Growth Capex and Maintenance CapexThe Capital BudgetReturn of CapitalDebt Repayment or Share Repurchase
3Private Markets & Alternative Investments
iPrivate Markets Foundations
The Private FundHedge Fund vs Mutual FundHow to map a…How to distinguish a…Category I, II and III AIFs ComparedAlternative Investment FundPrivate MarketsPrivate Markets vs Public MarketsPrivate Equity vs Venture CapitalPrivate Credit vs Public CreditLong-Short vs Market NeutralHow to map Private Credit SeniorityHow to read a…How to map a…How to read a…How to map Private-Market Exit RoutesClawbackIlliquidityPreferred ReturnNAV Financing vs Preferred EquityFund RegistrationMultiple on Invested CapitalBuyout vs Growth EquityManagement Fee vs Carried InterestNAV vs Fair ValueNAV Financing vs Continuation VehicleGP vs LPHow to trace a…How to map a Fund LifecycleHow to read a…
iiPrivate Fund Structure and Governance
Limited PartnerThe Limited PartnershipPlacement MemorandumCommitment, Call and Capital AccountCapital CallCarried InterestHow Conflicts of Interest…Fund AdministratorFund SponsorKey-Person ProvisionsGeneral PartnerHow Limited-Partner Advisory Committees…Side LettersThe Waterfall
iiiFund Lifecycle
Fund Formation and TermRealisation and DistributionInvestment Period and Harvest PeriodDistributionFundraisingFinal CloseFund TermPrivate Fund Return MultiplesVintage BenchmarkVintage YearPublic Market EquivalentThe J-CurveRealised Value, Unrealised Value…MOIC vs IRR
ivPrivate Equity
Private EquityBuyoutGrowth EquityPortfolio CompanyBoard Observer
vVenture Capital
Venture CapitalSeed RoundVenture Capital Fund, Angel,…Series ASeries BThe Cap Table
viPrivate Credit
The Private Credit StackDistressed DebtWorkoutSecurity PackagePIK InterestPreferred EquitySyndicated LoansSenior DebtDirect LendingLeverage Ratios in Private Credit
viiReal Assets
Real AssetsBrownfield InfrastructureGreenfield and Brownfield InfrastructurePrivate Real Estate FundsREIT vs InvIT vs…Infrastructure FundsOccupancyThe Real Asset Risk SpectrumReal-Asset Cash Flow vs…Leases in Real AssetsNet Operating Income
viiiHedge Funds
Hedge FundsGetting Out of a Hedge FundPrime BrokerRedemption WindowSide PocketTail Risk in AlternativesGlobal MacroManaged FuturesMarket NeutralRelative ValueShort SellingHow Long-Short Strategies WorkEvent-Driven StrategiesArbitrageExposure and Leverage
ixDue Diligence and Private Fund Reporting
Private Fund NAVThe Investor LetterDue DiligenceInvestment Due Diligence vs…Fund AuditValuation AgentValuation LagLook-Through ReportingHow Private-Fund Reporting Can…The Quarterly Report
xExits
Strategic and Financial BuyersExitNAV FinancingContinuation VehicleContinuation Vehicle vs Traditional…IPO as an Exit RouteSecondary TransactionsStrategic SaleStrategic Sale vs Secondary Sale vs IPO

Series A: What Changes at the First Priced Round

Series A is a priced round led by an outside institution. In Aravalli Learning Systems Private Limited, invented, it set Rs 120.00 a share against a pre-money of Rs 1,20,00,00,000, issued 25,00,000 new shares for Rs 30,00,00,000, and took the total to 1,25,00,000 shares. The round sold 20.0 per cent, so every holder already on the register was multiplied by 0.8.

A priced roundA round in which a price per share is agreed and new shares are issued at it. fixes two numbers and derives the rest. The pre-money divided by the shares already in issue gives the price. The raise divided by the price gives the new shares. Every percentage on the register afterwards is those two divisions worked through. There is far less to argue about inside a round than the vocabulary around it suggests. Two things are left to negotiate: the pre-money, and where an enlarged employee option pool is taken from. The first has a headline, and it gets argued over for weeks. The second has no headline at all, usually occupies one sentence, and on the arithmetic below it moves more of the register than a sizeable change in the pre-money would.

What is a Series A, and what actually changes from the seed?

Picture a tuition centre run by two people out of two rented rooms. When it first needed money, the money came from people who already believed in the two of them: a small early stage fund that writes first cheques, half a dozen individuals who had watched them teach. There was very little arithmetic to do, so nobody spent four months on it. Two years on, the centre has eleven branches, a payroll, a waiting list and a landlord problem. The next cheque does not come from somebody who believes in the two of them. The money comes from an institution that has read the accounts, sent people to sit at the back of three branches, and will put a number on the whole thing in writing before it parts with anything. A change of counterparty, and not the size of the cheque, is what a Series A actually is.

The finance version runs on the same distinction. A seed round is money against a plan and a pair of people. A Series A is money against a business that has begun to work, put in by an institution whose job is to price things for a living, usually with one investor doing the pricing and the rest following. The investor doing the pricing is the lead investorThe investor that sets the price and the terms the others come in on., and its arrival is the structural change. Somebody outside the existing register now sets the number that every holder inside the register is measured against.

The company worked through here is Aravalli Learning Systems Private Limited, invented. Aravalli is one of eighteen investments held by Nilgiri Venture Fund I, a venture capital fund registered as an Alternative Investment Fund with the Securities and Exchange Board of India and holding Rs 1,50,00,00,000 of commitments. Time runs on Aravalli's own clock throughout, a different clock from any fund's. The seed was Aravalli Year 1 and the Series A is Aravalli Year 3.

Why is it called the first priced round when this seed already had a price?

The phrase first priced round is attached to Series A almost everywhere. Aravalli's round does not support it, so the phrase is worth taking apart rather than repeating. Aravalli's seed had a price. The seed price was Rs 30.00 a share, it was agreed, and 20,00,000 shares were issued at it. So the phrase and the case appear to disagree, and the reason they do not is worth setting out.

The phrase carries an assumption inside it. The assumption is that the seed was raised on an instrument that defers pricing: money goes in now, and how many shares that money converts into is settled later, at the next round, on a formula agreed in advance. Where a seed is raised that way, nobody has yet agreed what a share is worth, so there genuinely is no price until Series A arrives. The phrase is exactly right for a seed of that kind, and raising a seed that way is common. Aravalli did not do it, and where a seed was itself priced, the phrase describes a different round from the one at hand.

So what is first at Aravalli's Series A is not the price. The new thing is an outside institution setting it. At the seed, the price was agreed among people who were all about to be on the register together. At the Series A, it is agreed by an institution that was not on the register at all and will only join if the number suits it. The change is real and it deserves its own name, but the name it usually gets does not fit this case, and the arithmetic below contradicts what the phrase leads a reader to expect.

Try it out

Aravalli's seed was priced at Rs 30.00 a share. So why does the vocabulary call the Series A the first priced round?

What did the register look like the morning before the round?

Everything a round does happens to a list, and the list is the share register. Aravalli's had four lines on it and 1,00,00,000 shares in total. The two founders held 70,00,000 between them. An employee option poolShares set aside for employees, including ones not yet hired. held 10,00,000. Nilgiri Venture Fund I held 15,00,000, and an angel syndicate of six individuals held 5,00,000.

HolderSharesPer centWhere it came from
The two founders70,00,00070.0Held from the start
Employee option pool10,00,00010.0Set aside at the seed
Nilgiri Venture Fund I15,00,00015.0Rs 4,50,00,000 at Rs 30.00 a share
Angel syndicate, six individuals5,00,0005.0Rs 1,50,00,000 at Rs 30.00 a share
Total in issue1,00,00,000100.0Aravalli Year 1

Two things in that table are worth pausing on. The first is the pool. The pool's 10,00,000 shares belong to nobody yet; they are set aside for employees the company has hired and employees it has not hired. The reserved shares are still counted in the 1,00,00,000. Counting them is what people mean when they say a register is being read fully dilutedCounted as if every reserved share were already issued.. The pool sits inside the count, and every calculation in this guide divides by a count that includes it. The second is the fund's cheque. Nilgiri Venture Fund I put Rs 4,50,00,000 into that seed, and Rs 4,50,00,000 is 3.0 per cent of the fund's own Rs 1,50,00,00,000 of commitments. Rs 4,50,00,000 is not 3.0 per cent of anything else, and naming the denominator every time is the difference between a figure and a number that merely looks like one.

Try it out

Before any share counts: Rs 30,00,00,000 is raised against a pre-money of Rs 1,20,00,00,000. What percentage of the company does the new investor end up holding?

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Where does the price of Rs 120.00 come from?

The pre-moneyThe value agreed for the company before the new money arrives. agreed for Aravalli at its Year 3 round was Rs 1,20,00,00,000. The Rs 1,20,00,00,000 is the whole of what was negotiated. The figure is not a fact about the company, it is not the output of a model that both sides ran and agreed on, and nothing anywhere confirms it: it is the number at which one institution was willing to put money in and the existing holders were willing to let it. Everything else in the round is arithmetic performed on that one negotiated figure.

The price per share is the pre-money divided by the shares already in issue. Rs 1,20,00,00,000 over 1,00,00,000 shares is Rs 120.00 a share. The denominator repays attention. The right count is the one before the round, not the one afterwards, and using the wrong one is the single commonest slip on this subject. Dividing the same pre-money by the 1,25,00,000 shares that exist afterwards gives Rs 96.00, a number that reproduces nothing. Rs 96.00 will not give the right number of new shares, it will not rebuild the post-money, and it does not correspond to a price anybody paid.

Try it out

Pre-money Rs 1,20,00,00,000 and 1,00,00,000 shares already in issue. What is the price per share, and what does dividing by the 1,25,00,000 shares there are afterwards give instead?

How many shares does Rs 30,00,00,000 buy at that price?

The second division answers it. Rs 30,00,00,000 divided by Rs 120.00 a share is 25,00,000 shares. The 25,00,000 shares did not exist before and are created by the round, so the total in issue rises from 1,00,00,000 to 1,25,00,000. Nothing was taken from anybody to make them. A round issues new shares; it does not move existing ones.

WHERE THE 25,00,000 NEW SHARES COME FROMRs 30,00,00,000 of new moneydivided by Rs 120.00 a share1,00,00,000SHARES ALREADY IN ISSUE25,00,000NEW1,25,00,000 shares afterwardsand 1,25,00,000 times Rs 120.00 is the Rs 1,50,00,00,000 post-money
The 25,00,000 new shares are simply Rs 30,00,00,000 divided by Rs 120.00, which takes the total in issue from 1,00,00,000 to 1,25,00,000 and leaves every existing holding untouched.

A build that only reconciles one way is not a build, so check the round in the other direction. The post-moneyThe pre-money plus the raise, which is also the share count afterwards times the price. should be the pre-money plus the raise: Rs 1,20,00,00,000 plus Rs 30,00,00,000 is Rs 1,50,00,00,000. The post-money should also be the share count afterwards multiplied by the price: 1,25,00,000 times Rs 120.00 is Rs 1,50,00,00,000. The two agree at Rs 1,50,00,00,000, and that agreement is the only evidence available that the price and the share count are consistent with each other. And the new investor holds Rs 30,00,00,000 of a Rs 1,50,00,00,000 post-money, or 20.0 per cent, the same 20.0 per cent given by 25,00,000 shares over 1,25,00,000.

What does the register look like once the money lands?

Five lines now, where there were four. The four original holders hold precisely the share counts they held yesterday. The number underneath every one of them is what changed.

HolderSharesBeforeAfter
The two founders70,00,00070.056.0
Employee option pool10,00,00010.08.0
Nilgiri Venture Fund I15,00,00015.012.0
Angel syndicate5,00,0005.04.0
The Series A investor25,00,000none20.0
Total in issue1,25,00,000100.0100.0

56.0 plus 8.0 plus 12.0 plus 4.0 plus 20.0 is 100.0, and the share counts add to 1,25,00,000. Both columns reconcile. A register that does not reconcile in both directions has an error in it somewhere, and no amount of reading will find it. Doing the check by hand once is what turns the next sentence from an assertion into something verified.

ONE ROUND, ONE NEW ROW, AND NOT ONE EXISTING SHARE COUNT TOUCHEDBEFORE THE ROUND, ARAVALLI YEAR 3HOLDERSHARESPER CENTFounders70,00,00070.0Employee option pool10,00,00010.0Nilgiri Venture Fund I15,00,00015.0Angel syndicate5,00,0005.0Total1,00,00,000100.0AFTER THE ROUND, ARAVALLI YEAR 3HOLDERSHARESPER CENTFounders70,00,00056.0Employee option pool10,00,0008.0Nilgiri Venture Fund I15,00,00012.0Angel syndicate5,00,0004.0The Series A investor25,00,00020.0Total1,25,00,000100.0The four share counts on the left are the four share counts on the right. Only the total moved, from 1,00,00,000 to 1,25,00,000, so every percentage fell.
The round adds one row and lowers every percentage, while leaving all four existing share counts exactly where they were, because the only quantity it moved was the total.

Why is every existing holder multiplied by exactly 0.8?

Look down the last two columns of that table. 70.0 becomes 56.0. 10.0 becomes 8.0. 15.0 becomes 12.0. 5.0 becomes 4.0. Every one of them has been multiplied by 0.8, and none of them was singled out, argued over or treated differently from any other. The multiplier is the old total divided by the new total: 1,00,00,000 over 1,25,00,000 is 0.8. The same division is done for everybody on the register, so the same number comes out for everybody on the register.

There is a shorter way to see it. The round sold 20.0 per cent of the company, so 80.0 per cent of it was left for the people who already held it, and 80.0 per cent is 0.8. One division, applied to everybody at once, is the whole of dilutionThe fall in a holder's percentage caused by the total share count rising. at a round like this. Dilution is not a transfer, it is not a penalty, and nobody has lost a share. The denominator got bigger. Both of those figures follow from the numbers chosen in this invented case rather than from any general rule about rounds, and a round that sold a different share of the company would produce a different multiplier.

FOUR HOLDERS, ONE MULTIPLIER, NOBODY SINGLED OUTBEFORE, 100 PER CENT OF 1,00,00,000 SHARESAFTER, 100 PER CENT OF 1,25,00,000 SHARES70.056.020.0NEW MONEYFounders70.0 becomes 56.0times 0.8Option pool10.0 becomes 8.0times 0.8Nilgiri Venture Fund I15.0 becomes 12.0times 0.8Angel syndicate5.0 becomes 4.0times 0.8Series A investorarrives at 20.0Every existing holder is multiplied by 1,00,00,000 over 1,25,00,000, which is 0.8, because the round sold exactly 20.0 per cent.
Selling 20.0 per cent leaves 0.8 of everything for everybody already on the register, so all four existing holdings narrow by exactly the same proportion at once.
Try it out

A round sells 20.0 per cent of a company. An existing holder was at 15.0 per cent. Where is that holder now?

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What happened to the founders, in both halves of the sentence?

Half of dilution is the percentage, and an account that stops there covers half the subject. The founders' holding fell from 70.0 per cent to 56.0 per cent, and their share count did not move at all: 70,00,000 shares before, 70,00,000 shares after. The other half is what those same shares are counted at. At the seed price of Rs 30.00 they came to Rs 21,00,00,000. At the Series A price of Rs 120.00 the identical 70,00,000 shares come to Rs 84,00,00,000. The percentage fell and the count at the latest round price rose, and both of those sentences are true of the same unchanged 70,00,000 shares.

The nature of those rupee figures matters more than the figures do. Neither one is a valuation of anything. Each is a number of shares multiplied by the price of one round, and the price of a round is the number one institution was willing to transact at on one day against a company whose shares nobody can sell on an exchange. Nobody has received Rs 84,00,00,000. The eventual proceeds depend on a sale that has not happened, at a price nobody has yet agreed.

What is the option pool shuffle, and where is the pool taken from?

The finance version is easy to nod along to and hard to feel, so the everyday version comes first. A buyer agrees to purchase a flat for a stated price. Weeks in, the seller mentions that the flat needs repainting before handover, that everybody agrees it needs repainting, and that the repainting will be done out of the agreed price rather than out of the seller's pocket. The price on the agreement has not changed by one rupee. The buyer now receives less for it. Nothing about the size of the repainting job is in dispute; the only question is which side of the agreed number it sits on.

An option pool is the same shape. A Series A investor will often want the pool enlarged, and the reason is ordinary and not in dispute either: a company about to hire twenty people needs shares to offer them, and a pool that is empty is not a pool. The question is not how big it should be. The size is a matter for whoever is doing the hiring. The question is whether the enlargement happens before the price is struck or after it. Enlarging the pool out of the agreed pre-money rather than after the round is what is meant by the option pool shuffleEnlarging the pool out of the agreed pre-money rather than after the round., and everything that follows is one counterfactual worked to the rupee to show what that ordering does.

ONE QUESTION DECIDES WHO PAYS, AND IT IS ABOUT ORDERIs the enlarged option pool created before the price is struck,or after it?BEFORE THE PRICE IS STRUCKAFTER THE PRICE IS STRUCKThe pre-round count becomes 1,05,00,000 shares.The price per existing share is Rs 114.29.Only the holders already on the register carry thepool.The pre-round count stays 1,00,00,000 shares.The price per existing share is Rs 120.00.The pool sits inside the post-round total, so thenew investor carries its share of it too.Same pool. Same 5,00,000 shares. The order decides the payer.
The same pool of the same size produces two different registers depending only on whether it is created before the price is struck or after it, which decides who carries it.

What does that ordering do to the price per existing share?

Counterfactual, this round only

Everything from here to the end of the control is a counterfactual on Aravalli's Series A

The counterfactual did not happen. Suppose the Series A investor had required the pool to be enlarged by 5,00,000 shares before the round, out of the agreed pre-money of Rs 1,20,00,00,000 rather than after it. Every figure below follows from that supposition and from nothing else. The round as it actually happened is the one in the tables above.

Work it through. The pool goes from 10,00,000 shares to 15,00,000, so the pre-round count goes from 1,00,00,000 to 1,05,00,000 shares. The pre-money does not move: it is still Rs 1,20,00,00,000, exactly the number that was negotiated. But the price per share is the pre-money divided by the pre-round count, and the pre-round count just got bigger. Rs 1,20,00,00,000 over 1,05,00,000 shares is Rs 114.29 a share, against Rs 120.00 before. The headline did not move and the price per existing share fell by Rs 5.71, and that fall is the whole of what happens here.

ONE NUMERATOR, TWO DENOMINATORS, TWO PRICESTHE NUMERATOR, IDENTICAL IN BOTHRs 1,20,00,00,000, the agreed pre-moneyTHE DENOMINATOR, WHICH THE POOL DECIDES1,05,00,000 sharescounterfactual, pool enlarged first1,00,00,000 sharesthe round as it happenedRs 105.00Rs 110.00Rs 115.00Rs 120.00Rs 125.00Rs 114.29Rs 120.00Rs 5.71 a share, and that fall is the whole of the transferScale starts at Rs 105.00, not at zero.
The pre-money is the same number in both worlds, so the entire difference between Rs 120.00 a share and Rs 114.29 a share comes from dividing it by 1,05,00,000 shares instead of 1,00,00,000.

The rest of the round then follows the same two divisions as before. Rs 30,00,00,000 at Rs 114.29 a share buys 26,25,000 shares rather than 25,00,000, and the total in issue afterwards is 1,31,25,000 rather than 1,25,00,000. There is a neat check available here: because the raise is exactly one quarter of the pre-money in this case, the total afterwards is always 1.25 times the pre-round count, and 1.25 times 1,05,00,000 is 1,31,25,000 on the nose.

Try it out

The headline pre-money is Rs 1,20,00,00,000 in both versions of this round. What tells a reader the two versions are not the same deal?

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So who actually pays for an enlarged option pool?

Put the two registers side by side and the answer falls out. In the counterfactual the Series A investor holds 26,25,000 shares of 1,31,25,000, or exactly 20.0 per cent, the same 20.0 per cent it held in the round as it happened. Its number did not move by a decimal place. The pool ends at 15,00,000 shares of 1,31,25,000, being 11.4 per cent against 8.0 before. The founders end at 70,00,000 of 1,31,25,000, being 53.3 per cent against 56.0. The two seed holders together end at 15.2 per cent against 16.0. The buyer is identical in both worlds and the sellers are not, so the pool was carried entirely by the people who were already on the register.

HolderRound as it happenedCounterfactualShares held
The two founders56.053.370,00,000 in both
Employee option pool8.011.410,00,000 or 15,00,000
The two seed holders16.015.220,00,000 in both
The Series A investor20.020.025,00,000 or 26,25,000
Total in issue1,25,00,0001,31,25,000100.0 either way
IDENTICAL HEADLINES, TWO DIFFERENT REGISTERS1. THE ROUND AS IT HAPPENEDPRE-MONEY, AGREEDRs 1,20,00,00,000THE RAISERs 30,00,00,000PRICE PER EXISTING SHARERs 120.002. COUNTERFACTUAL: THE POOL ENLARGED BY 5,00,000 SHARES BEFORE THE ROUNDPRE-MONEY, AGREEDRs 1,20,00,00,000THE RAISERs 30,00,00,000PRICE PER EXISTING SHARERs 114.2956.08.016.020.0POOLSEED HOLDERSSERIES A INVESTOR53.311.415.220.0POOLSEED HOLDERSSERIES A INVESTORTHE SERIES A BOUNDARY DOES NOT MOVEWHERE 56.0 PER CENT WOULD LAND2.6667 pointsSame pre-money to the rupee, same raise to the rupee, same 20.0 per cent for the buyer. The founders land on 56.0 per cent in one and 53.3 in the other.
The pre-money, the raise and the buyer's 20.0 per cent are identical in the two versions, and the founders land on 56.0 per cent in one and 53.3 in the other.

The rounded figures hide a little of the cost, so state it precisely rather than loosely. The founders would need 73,50,000 shares to hold 56.0 per cent of 1,31,25,000, and they hold 70,00,000, so they are 3,50,000 shares short. Unrounded, that shortfall is 2.6667 percentage points. The one decimal figures show it as 56.0 against 53.3, a gap of 2.7. Counted at each round's own price, their same 70,00,000 shares are Rs 84,00,00,000 at Rs 120.00 and Rs 80,00,00,000 at Rs 114.29, a difference of Rs 4,00,00,000. Neither of those rupee figures is a valuation and neither is money anybody has received: each is a share count multiplied by the price of one round.

Try it out

Before anything moves: if the Series A investor requires 5,00,000 more pool shares to be created before the round, what happens to its own percentage?

Play with it

Add shares to the pool before the round, and watch the buyer refuse to move

One control: how many shares are added to the option pool before the price is struck, from nothing to 10,00,000. The pre-money is held at Rs 1,20,00,00,000 and the raise at Rs 30,00,00,000 at every setting, and the 1,00,00,000 shares already in issue never change. The dashed lines mark the round as it actually happened, so the distance each block has travelled from it is visible.

The two readings that matter, held as static text so they survive without the picture. Add nothing and the round is the one that happened: price Rs 120.00, 25,00,000 new shares, 1,25,00,000 in issue, founders 56.0 per cent, pool 8.0, seed holders 16.0, the Series A investor 20.0. Add 5,00,000 pool shares before the round and it is the locked counterfactual: price Rs 114.29, 26,25,000 new shares, 1,31,25,000 in issue, founders 53.3 per cent, pool 11.4, seed holders 15.2, the Series A investor still 20.0. At the far end, adding 10,00,000 gives a price of Rs 109.09, 27,50,000 new shares, 1,37,50,000 in issue and founders at 50.9 per cent, with the Series A investor at 20.0 once again.
add nothing5,00,000 shares added before the roundadd 10,00,000
1. THE REGISTER AFTER THE ROUNDDASHED LINES MARK THE ROUND AS IT HAPPENED, WITH NOTHING ADDED TO THE POOL2. THE PRE-MONEY, WHICH THIS CONTROL NEVER MOVESRs 1,20,00,00,000, fixed at every setting3. THE PRICE PER EXISTING SHARERs 105.00Rs 110.00Rs 115.00Rs 120.00Rs 125.00Rs 120.00, the round as it happened
Pre-money, fixed at every setting
Rs 1,20,00,00,000
Price per existing share
Founders
Series A investor
New shares issued
Shares in issue afterwards
Educational illustration, and a counterfactual on one round of one invented company. Only the setting of nothing added reproduces the round Aravalli actually did. Figures in whole rupees and whole shares.
Reading a Term Sheet Structurally teaches you to read the clauses that decide who gets what, and in what order.

What tightens at a Series A, read at a structural level?

A term sheetA short document setting out the shape of a proposed investment. is the document a round is agreed on the shape of, and one is read structurally rather than drafted. Feld and Mendelson, in Venture Deals, 2011, put a structural reading ahead of a clause by clause one for the reason the arithmetic above has already shown: how a document is arranged decides which numbers a reader looks at, and the sentence that moved the register at Aravalli carried no figure in the headline block at all.

Read structurally, a reader is looking for four things. The first is what is being priced: the pre-money and the count it is divided by. The second is who is buying: the institution and the amount. The third is what is created before the price is struck, and an enlarged pool lives exactly there. The fourth is what changes hands: the share counts and the rights that go with them. Three of those four sit in the largest type on the term sheet, and the third one does not.

WHERE THE BIG TYPE IS, AND WHERE THE SENTENCE ISTERM SHEETProposed Series A investment in Aravalli Learning Systems Private Limited, inventedPRE-MONEY VALUATIONRs 1,20,00,00,000AMOUNT OF THE ROUNDRs 30,00,00,000The employee option pool shall be increased to 15,00,000 shares immediatelyprior to and in contemplation of the Closing.ORDINARY TYPE. NO FIGURE IN THE HEADLINE BLOCK ABOVE MOVES.1WHAT IS BEING PRICEDThe pre-money, in the largest type onthe term sheet.2WHO IS BUYINGThe amount, and the institutionputting it in.3WHAT IS CREATED BEFORE THE PRICE ISSTRUCKThe pool sentence. No headline figuremoves when it changes.4WHAT CHANGES HANDSThe share counts, the rights, and theregister that results.
The figures a reader looks at sit in the largest type, while the sentence that decides the pre-round count sits in ordinary type among the paragraphs, which is why a structural reading finds it and a headline reading does not.

The rest of what tightens at a Series A is real but is not arithmetic. A round of this kind normally creates a class of shares with rights of its own rather than issuing more of what is already there, adds a seat at the board table for the investor putting the money in, fixes a list of decisions the company cannot take without that investor agreeing, and sets out what information the investor gets and how often. None of those is a number, none of them appears on the register, and all of them together are why the arrival of an outside institution is a structural change rather than simply a larger cheque.

Try it out

Reading a term sheet structurally rather than clause by clause, what four things is a reader looking for?

How does somebody on a private capital desk actually use this?

Three uses, and none of them is exotic. The first is the most common question an analyst gets asked about a round the fund is not putting money into: where does the fund's percentage land? If the round sells 20.0 per cent, every existing holding is multiplied by 0.8, so Nilgiri Venture Fund I goes from 15.0 per cent to 12.0 without anybody needing a model. The multiplier answers that question in one line, and the only way to get it wrong is to have used the wrong share count.

The second is the reporting and operations side. Somebody there has to hold the register afterwards and reconcile it against what the documents say. Reconciling needs the pre-round count the price was computed on, the price, the new shares, and the fully diluted total including the pool. Every one of those four is checkable against the others, and the check is the one done above: the count afterwards times the price has to rebuild the post-money. A register that fails that test disagrees with the round that created it.

The third is diligence on a company that has already done a round. Given a term sheet or the record of a past round, the single most useful thing to find is not the pre-money. The share count the pre-money was divided by is the more useful figure, and that number silently carries the pool decision. Two rounds with the same headline pre-money and different pre-round counts are different rounds, and the register is the only place the difference shows.

The error that gets made, and what it costs

Negotiating the pre-money to the last rupee over several weeks, and then signing the pool sentence without doing any arithmetic on it. The error is made by founders, and by any reader who reads a document for its headline figures rather than for the order in which those figures get applied. The slip is easy to make for a reason worth stating plainly: the Series A investor holds exactly 20.0 per cent in both worlds, so the buyer has nothing to argue about and the sellers have not noticed there is anything to argue about.

The cost, in this counterfactual, exactly. The pre-money is Rs 1,20,00,00,000 in both worlds and the raise is Rs 30,00,00,000 in both. The founders end at 56.0 per cent in one and 53.3 in the other, being 3,50,000 shares short of 56.0 per cent of 1,31,25,000, or 2.6667 points unrounded. Counted at each round's own price their unchanged 70,00,000 shares are Rs 84,00,00,000 against Rs 80,00,00,000, a difference of Rs 4,00,00,000, and nothing in the headline moved at all.

The question the failure teaches is not how big a pool should be, and it is not a question about anybody's conduct. The question is whether the pool is created before the price is struck or after it. The ordering alone decides who carries the pool, and it sits in one sentence in a document whose headline says something else.

THE SHORTFALL IS 3,50,000 SHARES, AND THE FOUNDERS NEVER SOLD ONE1. THE FOUNDERS' SHARE COUNT NEVER CHANGED. THE DENOMINATOR DID.56.0 PER CENT OF 1,31,25,000 WOULD BE 73,50,000 SHARES73,50,000WHAT THE FOUNDERS ACTUALLY HOLD, IN BOTH WORLDS70,00,0003,50,000 shares short of 56.0 per cent, being 2.6667 points2. THE SAME 70,00,000 SHARES, COUNTED AT EACH ROUND'S OWN PRICEAT Rs 120.00, THE ROUND AS IT HAPPENEDRs 84,00,00,000AT Rs 114.29, THE COUNTERFACTUALRs 80,00,00,000Rs 4,00,00,000 of difference, on a headline that did not move
The founders end 3,50,000 shares short of 56.0 per cent of the larger total while holding exactly the same 70,00,000 shares, which is what it means to say dilution is a denominator moving.
Try it out

Founders at 56.0 per cent or 53.3 per cent. How many shares is that gap, and did the founders' own share count change?

India

Where the parties in this worked case sit

A pre-money, a raise, a price per share and a percentage behave the same way anywhere there is a share register, so the arithmetic here is not specific to any country. The parties are. Nilgiri Venture Fund I is registered as an Alternative Investment Fund with the Securities and Exchange Board of India at sebi.gov.in. The Board sets the categories, the registration, the reporting and the conduct expectations attaching to a vehicle of that kind. Anything touching Aravalli Learning Systems Private Limited's own share register, its charges, its board and its filings sits with the Ministry of Corporate Affairs at mca.gov.in. Category conditions, minimums, minimum fund size, tenure, investor count, limits and effective dates change, and the current text at each source governs.

The seed round and the register it left behind are covered separately, and are used here only as the position the Series A started from. Series B and anything after it are covered separately, as is the decision to put more money into a later round to hold a percentage. The whole ownership table across all three of this company's rounds is covered separately, and one round only is drawn here. The order in which a term sheet is read, and what each answer tells a reader, is covered separately; the mechanism is what is taught here. The vehicle holding the shares, its trust deed, its management fee, its preferred return and the order in which it pays money out are covered separately, as are the fund's own clock and the routes by which a holding is eventually sold.
Breaking Into VC Bootcamp — Fin Maverick

Sources

SourceDocumentSite
Securities and Exchange Board of IndiaThe published framework for Alternative Investment Funds, covering categories, registration, reporting and conduct. The venture capital fund in this worked case is registered theresebi.gov.in
Ministry of Corporate AffairsNamed as the source on a company's own share register, its share capital, its charges, its board and its filings, which is where anything about the register described here ultimately sitsmca.gov.in
Indian Venture and Alternate Capital AssociationNamed as the industry body publishing material on private capital in India. Used for orientation onlyivca.in
Feld and Mendelson, Venture Deals, 2011Named in the text above as the source of the structural reading of a term sheet. The work itself carries the clause by clause treatmentnamed in the text

Aravalli Learning Systems Private Limited and Nilgiri Venture Fund I are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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