# Merger Arbitrage Model

Hold one announced deal and price what the market is already charging for it. The consideration is 34.00 in cash plus 0.2600 acquirer shares collared between 85.50 and 104.50, so at 92.40 the deal is worth 58.02 against a 54.80 target price - a 3.22 gross spread, 5.9 per cent, on a 30.4 per cent premium. Five closing conditions multiply to 90.6 per cent and an escalating monthly hazard resolves the deal in 9.20 expected months. Break value is 42.81 after a broken-process overhang and a probability-weighted termination fee, an 11.99 loss that puts downside to upside at 3.72 times. Expected profit is 2.14 a share, 11.4 per cent annualised on capital - against a 78.3 per cent completion probability implied by the price and a 78.5 per cent breakeven.

- Canonical: https://finamodel.com/templates/merger-arb
- Excel download: https://finamodel.com/templates/merger-arb.xlsx
- Category: Capital Markets
- Model type: Deal model
- Difficulty: Advanced
- Audiences: Investors & analysts, PE & buy-side, Bankers & advisors, Merger arbitrage and event-driven investors, Hedge fund analysts and portfolio managers, Risk arbitrage and special situations desks, Investment bankers and advisers
- Tags: merger-arb, merger-arbitrage, deal-spread, break-probability, event-driven

## Overview

A risk-arbitrage position model on a single announced cash-and-stock deal: Vantage Analytics Group to acquire Halcyon Systems for 34.00 in cash plus 0.2600 acquirer shares, signed in March 2026. It is not a valuation model with a spread bolted on, and it exists for three mechanics no other archetype carries. The first is that the consideration is collared. The stock leg is fixed between 85.50 and 104.50 on the acquirer price, so inside the collar the exchange ratio is fixed and the deal value moves one for one with the acquirer, while outside it the value is fixed and the ratio moves instead - which means the number of acquirer shares the arb is short is the effective ratio, not the headline 0.2600, and the hedge has to be re-struck once either bound binds. The consideration build therefore runs twice, once at the market price and once across a nine-point grid from 20 per cent down to 20 per cent up, and the grid is what makes the kink visible: deal value pins at 56.23 at the bottom, tracks the acquirer through the middle, and pins again at 61.17 once the upper bound binds. On the shipped case the acquirer trades at 92.40, inside the collar, so the deal is worth 58.02 against a target price of 54.80 - a gross spread of 3.22, or 5.9 per cent, on a 30.4 per cent premium to the unaffected price. The second mechanic is that timing is a hazard curve rather than a date. Five conditions - antitrust, foreign investment, the sector regulator, the shareholder vote and financing - each carry a conditional clearance probability that multiplies down to a joint 90.6 per cent, with the marginal break contribution of each carried alongside so it is visible that antitrust is 4.5 of the 9.4 points of break risk and everything else together is under 5. Nothing can close before month 7; from there a conditional monthly hazard of 18 per cent escalates 35 per cent a month and is forced to one at the month-13 outside date, so the distribution is complete by construction and a check row proves the weights sum to one. The probability-weighted result is 9.20 months, which is the denominator behind every annualised figure in the workbook, and the row of position-open weights it also produces is what carry accrues against - carry in month 12 only counts for the 9 per cent of paths still open in month 12. The carry ledger itself is built on one share: long at 54.80, short 0.2600 acquirer shares worth 24.02, 78.82 of gross exposure against 23.65 of equity posted at a 30 per cent margin and 7.13 borrowed. Four monthly lines run against it - 0.073 of target dividend received, 0.035 of acquirer dividend owed away on the short, 0.012 of stock borrow and 0.030 of financing - netting to a drag of 0.004 a month. That the position is close to carry-neutral is the point, and it is one input away from not being: drop the margin requirement to 25 per cent and financing rises to 0.047 a month, five times the drag, for a position that is only marginally more levered. The ticking fee is deliberately kept out of that ledger, because it is an increment to the merger consideration of 0.14 per share for every month past month 9 paid at closing rather than accrued in cash; weighted across the timing distribution it is worth 0.107, a third of the carry drag and running the other way. The third mechanic is a downside built as a price rather than a haircut. The 44.50 unaffected price is rebased by the 2 per cent the sector has moved since signing, cut by a 10 per cent broken-process overhang, and credited with a 460 million reverse termination fee - 5.48 a share, but payable only on a regulatory failure and so weighted at 65 per cent to 3.56. Break value lands at 42.81, an 11.99 loss on the current price and minus 50.7 per cent of the equity posted, which puts downside to upside at 3.72 times and is why sizing is a sheet of its own. Three branches - completes at 84.6 per cent, a topping bid at 6 per cent worth an 8 per cent uplift, a regulatory break at 9.4 per cent - carry to an expected profit of 2.14 per share, 9.0 per cent on capital and 11.4 per cent annualised, and a bridge underneath decomposes that number exactly rather than by a plug because every outcome value is expressed as a gap to the base case: 3.22 of gross spread, plus 0.11 of ticking fee, less 0.03 of carry, plus 0.28 of topping-bid uplift, less 1.44 of break cost. Read that column and the trade is not a 5.9 per cent spread; it is a 5.9 per cent spread against 1.44 of expected break cost, with the ticking fee and the carry as rounding. The last block inverts the tree. Given a 42.81 downside and a 58.13 upside, the 54.80 market price is already charging a 78.3 per cent completion probability against the model's 90.6, and the breakeven probability at which expected profit is zero is 78.5 per cent - almost exactly the market's number, so the margin of safety is 12.1 points and no more. The same calculation is carried across nine target prices, so the implied probability can be read against the model's at any entry point rather than only at today's. Fund-level sizing then makes the consequence concrete: a 4 per cent weight of an 850 million book is 34 million of capital at 3.33 times gross leverage, 3.07 million of expected profit worth 0.36 per cent of net asset value, against a 17.3 million loss worth 2.04 per cent of it if the deal breaks - 5.6 completed deals to pay for one failure. Five named scenarios and a nine-row check block, all reconciling to zero, close the workbook.

## What's included

- Deal terms: cash per share, exchange ratio, collar bounds, and the reference and current acquirer prices
- Target inputs: shares outstanding, unaffected price, current price, net debt and the ordinary dividend
- A collared consideration build - price capped, floored, valued at the exchange ratio, and split cash against stock
- An effective exchange ratio that moves once either collar bound binds, driving every short-leg row
- Transaction size: equity value, enterprise value, shares issued and target holders' pro forma ownership
- A nine-point acquirer price grid from 20 per cent down to 20 per cent up, showing where the collar bites
- Five conditions to closing with conditional clearance odds, a joint probability and a marginal break contribution each
- An escalating monthly close hazard from an earliest month, capped at one and forced to one at the outside date
- Survival, monthly resolution weight, cumulative resolution and probability-weighted months to close
- Per-share position economics: short proceeds, net cash outlay, gross exposure, equity posted and borrowed cash
- A monthly carry ledger - target dividend, acquirer dividend on the short, stock borrow and financing
- A ticking fee accrued to the consideration at close rather than to the carry ledger, weighted by the timing curve
- A break value built from the unaffected price rebased, discounted for overhang, plus a weighted termination fee
- Downside to upside, break loss on price and break loss on the capital actually posted
- A three-branch outcome tree with per-branch profit, return on capital and annualised return
- A five-step profit bridge from gross spread to expected profit that reconciles without a plug
- Market implied completion odds solved out of the price, plus the breakeven odds and the margin of safety
- The same implied-odds calculation across a nine-point target price grid
- Fund-level sizing: capital allocated, long and short market value, gross exposure, leverage and loss as a share of the book
- An expected monthly cash flow stream with a monthly and annualised internal rate of return
- Five named scenarios on fund returns and a nine-row check block that reconciles to zero
- Dashboard: ten KPIs, seven summary tables, six charts and the profit bridge as a waterfall

## Merger Arbitrage Model: Collared Consideration, Timing Hazard, and Probability-Weighted Payout

This merger arbitrage model prices a single announced cash-and-stock deal where the acquirer's share price determines deal value inside a collar. It models a five-condition closing probability, an escalating monthly hazard that yields expected months to close, a monthly carry ledger, a bottom-up break scenario, and a three-branch outcome tree.

The workbook also solves the market-implied completion probability and the breakeven completion probability.

### How the Collared Consideration Shapes Deal Value and the Hedge

The model builds consideration as a fixed cash amount plus an exchange ratio applied to a collared acquirer share price. The collared reference takes the acquirer's market price, caps it at the collar's upper bound, and floors it at the lower bound.

- Deal value equals cash plus the stock value, which is the exchange ratio times that collared reference. Inside the collar, deal value moves one-for-one with the acquirer.

- Outside it, deal value is fixed and the effective ratio moves. The effective ratio equals stock value divided by the acquirer price, and it is the correct short-hedge count rather than the headline exchange ratio.

A nine-point grid across acquirer prices makes the collar kink visible, showing where deal value is flat, where it tracks, and where it pins.

### Closing Conditions and the Hazard-Based Timing Distribution

Closing probability is handled in two stages. First, five conditions—antitrust, foreign investment, sector regulator, shareholder vote, and financing—each carry a conditional clearance probability, which multiply to a joint completion probability.

- The model also reports each condition's marginal break probability, making it clear which condition contributes the most failure risk. Second, the model distributes when the deal closes.

- A conditional monthly hazard begins after an earliest close month, escalates by a fixed ramp each month, and is forced to one at the outside date so the distribution sums to one. Multiplying surviving-pending probability by the hazard gives monthly resolution weights.

The probability-weighted result is an expected months to resolution figure, and the same weights are used to accrue carry only while the position remains open.

### The Per-Share Carry Ledger and What It Means for Returns

The carry sheet builds the position on one target share: long the target, short a number of acquirer shares equal to the effective ratio, with the resulting net cash outlay and gross exposure. It then applies a margin requirement to derive equity posted, borrowings, and gross leverage.

- Four monthly lines run against the position: the target dividend received, the acquirer dividend paid on the short, stock borrow cost, and financing on borrowed cash. Net carry is the sum of these, and it can be negative or close to neutral depending on the inputs.

- Changing the margin requirement changes borrowings and financing, so margin and financing act as one lever. A ticking fee is deliberately excluded from the carry ledger because it is paid at closing on the consideration and only after a stated month.

Weighted across the timing distribution, it adds to expected value but runs opposite to carry.

### The Downside Break Value and the Market-Implied Completion Probability

The break scenario builds the failed-deal price from the bottom up: an unaffected price rebased by a sector index move, reduced by a broken-process overhang, plus a reverse termination fee weighted by the probability that the fee is actually payable. This produces a break value per share and a loss versus the current price.

- The ratio of that loss to the gross spread is the downside-to-upside multiple, which drives position sizing. The expected value tree then runs three branches—completes as announced, a topping bid, and a regulatory break—using the completion probability derived from the closing conditions.

- A profit bridge decomposes expected profit into the gross spread plus the expected ticking fee, expected net carry, topping bid uplift, and break outcome, and it reconciles exactly because each line is expressed as a gap to the base case.

- Finally, the model inverts the tree to solve the completion probability implied by the current market price and calculates a breakeven completion probability where expected profit is zero. Comparing the model's completion probability with the market-implied one shows the gap that represents the thesis, while the breakeven level shows the margin of safety.

The same implied calculation is available across a range of target prices, so the comparison can be made at any entry point rather than only at the current price.

## A collared consideration, not a fixed price

The stock leg is fixed between 85.50 and 104.50 on the acquirer. Inside the collar the ratio is fixed and the value moves; outside it the value is fixed and the ratio moves to 0.3007 or 0.2450 - which is the short leg that has to be re-struck.

## Five conditions multiplied, not one probability assumed

Antitrust, foreign investment, the sector regulator, the shareholder vote and financing multiply to 90.6 per cent, with each condition's marginal contribution carried alongside so antitrust reads as 4.5 of the 9.4 points of break risk.

## An escalating hazard that completes by construction

No close before month 7, an 18 per cent monthly hazard escalating 35 per cent a month, forced to one at the outside date. The weights sum to one and give 9.20 expected months, plus the open weights carry accrues against.

## Carry is a ledger, and it is nearly neutral

0.073 of target dividend against 0.035 of acquirer dividend owed away, 0.012 of borrow and 0.030 of financing - a 0.004 monthly drag. Cut the margin requirement to 25 per cent and that becomes 0.020, five times the drag.

## The downside is 3.72 times the spread

Break value of 42.81 is an 11.99 loss on the current price and 50.7 per cent of the equity posted. Against a 3.22 spread, that ratio is what governs the whole position and why sizing is a sheet of its own.

## The price already implies a probability

78.3 per cent implied against a 90.6 per cent model and a 78.5 per cent breakeven. The margin of safety is 12.1 points, and the same calculation runs across nine entry prices so it can be tracked as the spread moves.

## Workbook structure

### Cover

Workbook overview, sheet legend, units, and tab-colour key.

- Title and scope framing
- Sheet-by-sheet purpose summary
- Units and tab-colour legend

### Dashboard

Ten KPIs, seven summary tables, six charts and the profit bridge.

- Gross spread, annualised net spread, completion probability and expected months to close
- Deal value, break value, expected profit per share, annualised return, downside to upside and the margin of safety
- Deal value across the collar, the closing timing distribution, the monthly carry ledger and completion odds across prices
- Charts for the collar, monthly resolution odds, implied against model odds, expected cash flow, and returns by scenario and by outcome
- The spread-to-expected-profit bridge drawn as a waterfall from 3.22 to 2.14

### Assumptions

Deal terms, timing, break economics, carry and fund sizing.

- 34.00 cash plus a 0.2600 exchange ratio collared between 85.50 and 104.50, on a 92.40 acquirer price
- An 84.0 million share target at 54.80 against a 44.50 unaffected price, with 310 of net debt
- An earliest close of month 7, an outside date of month 13, an 18 per cent base hazard escalating 35 per cent
- Five milestone clearance odds from 95.5 to 99.8 per cent, and a 6 per cent topping bid at an 8 per cent premium
- A 10 per cent broken-deal overhang and a 460 reverse break fee payable at 65 per cent odds
- A 0.60 per cent stock borrow, a 5.10 per cent financing rate and a 30 per cent margin requirement
- An 850 fund at a 4 per cent position weight, plus a five-scenario probability, timing and uplift grid

### Deal_Terms

Consideration at signing and at market, transaction size and the collar grid.

- The announced 58.70 deal value at the 95.00 signing price, a 31.9 per cent premium to unaffected
- The market build: price capped, floored, valued at the ratio, split cash against stock to 58.02
- An effective exchange ratio and the cash and stock shares of consideration, with a consideration check
- Equity value of 4,874 and enterprise value of 5,184, with target holders taking 7.5 per cent of the pro forma
- A nine-point acquirer grid pinning deal value at 56.23 below the collar and 61.17 above it

### Close_Probability

Conditions to closing, the monthly hazard, and expected timing.

- Five conditional clearance odds multiplied to a joint 90.6 per cent completion probability
- Each condition's marginal break contribution, with a clearance check reconciling to one
- A closing window from month 7, months into window, and a raw, capped and applied monthly hazard
- Survival, monthly resolution weight and cumulative resolution, with a timing check proving the weights sum to one
- 9.20 probability-weighted months, 280 expected days, an expected close date and the outside date

### Spread_Analysis

Per-share economics, the monthly carry ledger and the annualised spread.

- A 3.22 gross spread on 54.80, against 24.02 of short proceeds and 78.82 of gross exposure
- 23.65 of equity posted at a 30 per cent margin, 7.13 borrowed, and 3.33 times position leverage
- Four monthly carry lines netting to a 0.004 drag, accrued and accumulated across sixteen months
- Carry weighted by the position-open curve, and a ticking fee weighted by the resolution curve
- A 58.13 expected consideration, a 3.30 net spread and a 7.9 per cent annualised net spread

### Break_Scenario

The downside price build and implied odds across nine entry prices.

- The 44.50 unaffected price rebased by a 2 per cent sector move, less a 10 per cent overhang, to 39.25
- A 460 termination fee at 5.48 a share weighted at 65 per cent odds to 3.56
- A 42.81 break value, an 11.99 loss, 21.9 per cent of the price and 50.7 per cent of the capital posted
- Downside to upside at 3.72 times against the gross spread
- Implied completion odds at nine target prices, read against the model's 90.6 per cent

### Expected_Value

The outcome tree, the expected value summary and the profit bridge.

- Completes at 84.6 per cent, a topping bid at 6 per cent and a regulatory break at 9.4 per cent
- Profit per share of 3.30, 7.95 and minus 12.03, at 13.9, 33.6 and minus 50.9 per cent on capital
- Expected profit of 2.14 a share, 9.0 per cent on capital and 11.4 per cent annualised
- Market implied odds of 78.3 per cent, a 78.5 per cent breakeven and a 12.1 point margin of safety
- A five-step bridge from gross spread to expected profit with a check row reconciling it to zero

### Position_Sizing

The two legs at fund level, leverage, and what a break costs the book.

- 34.0 of capital allocated from an 850 book at a 4 per cent weight, buying 1.44 million target shares
- 78.8 of long market value against 34.5 of short, 113.3 of gross exposure at 3.33 times leverage
- 44.2 of net cash outlay and 10.2 of borrowed cash
- 3.07 of expected profit against a 17.29 loss if the deal breaks
- A 2.04 per cent loss on net asset value against a 0.36 per cent contribution, and 5.6 deals to offset a break

### Returns

Expected monthly cash flow to resolution and the internal rate of return.

- Capital invested at month zero, expected carry cash by month, and capital returned on the resolution curve
- Profit realised weighted by the monthly resolution weight, with net cash flow and cash flow to date
- 3.07 of expected profit at a 9.0 per cent return on capital over 9.56 expected months
- A 0.95 per cent monthly internal rate of return, 12.0 per cent annualised
- A resolution weight check and a return reconciliation check tying back to the position sheet

### Scenario_Analysis

Five named scenarios on fund returns, and the model check block.

- Close on time, close delayed, topping bid, remedy delay and regulatory break at 42, 29, 6, 14 and 9 per cent
- Profit per share from 3.19 to 7.97, and minus 12.04 on a break, with return and annualised return on capital
- An expected 2.26 a share and 9.6 per cent on capital, against a 12.04 worst case
- Fund-level contribution of 0.38 per cent against a 2.04 per cent worst case on net asset value
- Nine checks - scenario and outcome probabilities, timing weights, consideration, the profit bridge and the return reconciliation

## Features

- **The consideration is collared, so the hedge is not fixed:** Inside the collar the exchange ratio is fixed and the deal value moves with the acquirer. Outside it the value is fixed and the ratio moves. Every short-leg row keys off the effective ratio, not the headline 0.2600, because that is the number of shares actually being delivered.
- **Timing is a hazard curve, not a date:** Nothing closes before month 7; from there an 18 per cent monthly hazard escalates 35 per cent a month and is forced to one at the month-13 outside date. The weights sum to one by construction and give 9.20 expected months, the denominator behind every annualised figure.
- **Carry accrues against the paths still open:** The same curve produces position-open weights, so carry in month 12 only counts for the 9 per cent of paths still open in month 12. Net carry is a 0.004 monthly drag - close to neutral, and one input away from five times that.
- **The ticking fee is not carry:** A ticking fee is an increment to the merger consideration paid at closing, not a monthly cash accrual. Weighted across the timing distribution it is worth 0.107 a share - a third of the carry drag, running the other way.
- **The downside is a price, built from the bottom up:** The 44.50 unaffected price rebased by the sector move, less a 10 per cent broken-process overhang, plus a termination fee weighted at the odds it is actually payable. Break value is 42.81, an 11.99 loss and 3.72 times the spread.
- **The bridge reconciles without a plug:** 3.22 of gross spread, plus 0.11 of ticking fee, less 0.03 of carry, plus 0.28 of topping-bid uplift, less 1.44 of break cost, equals 2.14 of expected profit. Every outcome value is expressed as a gap to the base case, so the steps sum by construction.
- **The price already carries a probability:** Given a 42.81 downside and a 58.13 upside, 54.80 implies 78.3 per cent completion odds against the model's 90.6, and breakeven is 78.5 per cent. That 12.1 point margin of safety is the whole trade, and it is carried across nine entry prices.

## Use cases

- **Decide whether the spread pays for the break risk:** A 5.9 per cent gross spread against 1.44 of expected break cost is a different trade from a 5.9 per cent spread. The bridge separates the two, and the breakeven completion probability says how much of the market's assumption you have to be right about.
- **Size the position against what a break costs the book:** Break loss is 50.7 per cent of the capital posted. A 4 per cent weight of an 850 million book puts 2.04 per cent of net asset value at risk for 0.36 per cent of expected return, and needs 5.6 completed deals to pay for one failure.
- **Re-strike the hedge when the collar binds:** The nine-point acquirer grid shows the deal value pinning at 56.23 below the lower bound and 61.17 above the upper one, with the effective ratio moving from 0.2450 to 0.3007 across the range - which is the short leg that has to be adjusted.
- **Read the entry price against the model:** The implied-odds grid prices completion probability at nine target prices, so a widening spread can be read as the market repricing the deal rather than as a better entry, and the margin of safety can be tracked as it moves.
- **Test what the financing terms are worth:** Margin requirement and financing rate are the same lever. At 30 per cent equity the position is close to carry-neutral; at 25 per cent, financing rises to 0.047 a month for a position only marginally more levered.

## Frequently asked questions

### What is a merger arbitrage model?

It is the position model behind a risk-arbitrage trade: buy the target of an announced deal below the offer, hedge the stock component by shorting the acquirer, and earn the spread if the deal closes. What it has to get right is not the valuation of either company but three other things - what the consideration is actually worth today, when and whether the deal closes, and what the target is worth if it does not.

### Why does the collar change the hedge ratio?

A collar fixes the value of the stock leg outside a band on the acquirer price. Inside the band the exchange ratio is fixed at 0.2600 and the deal value moves one for one with the acquirer. Outside it the value is fixed instead, so the ratio has to move to deliver it - to 0.3007 at the bottom of the grid and 0.2450 at the top. Since the short leg is sized on the shares actually delivered, hedging on the headline ratio leaves the position mis-hedged exactly when the acquirer has moved most.

### Why model the closing date as a distribution rather than a date?

Because every annualised figure divides by it, and because carry accrues only while the position is open. A single expected date gives the first but not the second. The hazard curve here gives both: a probability-weighted 9.20 months for the annualisation, and a row of position-open weights so that carry in a late month is charged only against the small share of paths that reach it.

### Should the ticking fee be treated as carry?

No. A ticking fee increases the merger consideration by a stated amount per share for each month the close slips past a date, and it is paid at closing. Putting it in the monthly carry ledger overstates cash received and understates the consideration. Here it is accrued to the consideration and weighted across the timing distribution, where it is worth 0.107 a share against a carry drag of 0.03.

### How is the break value estimated?

From the bottom up rather than as a haircut. The unaffected price is rebased by the peer index move since signing, cut by a broken-process overhang, and credited with the reverse termination fee - which is weighted at the probability it is actually payable, since a regulatory failure triggers it and a failed shareholder vote or financing does not.

### What is the market implied completion probability?

The probability that makes the current price fair given the two outcomes: price less break value, over deal value less break value. At 54.80 against a 42.81 downside and a 58.13 upside that is 78.3 per cent. The model's conditions multiply to 90.6 per cent, and the breakeven probability at which expected profit is zero is 78.5 per cent - so the trade is the 12.1 point gap and nothing else.

### How is this different from a merger model or a take-private model?

A merger model is the acquirer's question: accretion, dilution, synergies and the pro forma capital structure. A take-private model is the sponsor's: entry multiple, leverage and exit returns. This is the arbitrageur's, which is a different problem entirely - a two-outcome bet with a fixed upside, an unfixed date and an asymmetric downside, priced against what the market is already charging.

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