What is the annualized spread?
A plain guide to a number on the deal list: what it is, how to read it, and the maths.
What it is
The spread turned into a yearly rate, so deals that close at different times can be set side by side.
Why turn a spread into a yearly rate
A spread shows the gain if the deal closes at the offer. It doesn't say how long the wait is.
Take two deals, each with a 4.2% spread. One closes in four months, the other in a year.
The first offers the same gain with a much shorter wait. The annualized spread turns each gain into a yearly rate, so the two can be compared.
The rate holds only if the deal closes at the offer on the date used.
Step by step
Litware trades at $48.00 against an offer of $50.00. The deal is expected to close in 120 days.
The gain is $2.00 a share, or 4.2%. Multiply by 365 and divide by the days: 2.00 ÷ 48.00 × 365 ÷ 120 = 12.7% a year.
This is the simple form. It doesn't assume the gain is put to work again.
Simple or compounded
A compounded rate assumes each gain is put into a deal like it, again and again.
The same deal then gives (50.00 ÷ 48.00) raised to 365 ÷ 120, minus 1 = 13.2%.
For waits under a year, the shorter the wait, the further apart the two forms are. Over 30 days, the same 4.2% is 50.7% a year simple and 64.3% compounded.
When the deal closes late
With a fixed offer and no other payments, a late close doesn't change the gain in dollars. But it takes longer to earn, so the yearly rate falls:
- On time
- $2.00 on a $48.00 share over 120 days: 12.7% a year.
- 120 days late
- The same $2.00 over 240 days: 2.00 ÷ 48.00 × 365 ÷ 240 = 6.3% a year.
- Close to closing
- The same $2.00 over 30 days: 50.7% a year. With a short wait, a few days' change moves the rate a lot.
The date in the sum is a guess. The companies' expected close is guidance, not a promise.
The outside date is the date after which the agreement usually lets the parties end it.
Take 447 acquisitions of at least half a company, completed from 2020 to 2024, in which both sides were US public companies. Subsidiaries were left out. The median time from announcement to completion was 136 days.
Dividends and CVRs
Dividends paid while the deal is pending add to the cash received. Holders on each record date get them.
Many agreements allow only regular dividends, and some allow none. Some lower the offer for certain payouts. See dividends while pending.
A CVR may pay more later under its own terms. Its payment and timing are uncertain, so a yearly rate may leave it out.
What it means for shareholders
The annualized spread isn't a forecast. It's earned only if the deal closes at the offer on that date.
It says nothing about the loss if the deal fails. That loss is often much larger than the spread.
The gap to what Treasury bills pay over the same time is the extra return if the deal closes as assumed. It leaves out the loss if it fails.
On Tracking Alpha
Days are calendar days from today, New York time, to the expected close. When the companies gave a period such as Q4 2026, the maths uses its last day, December 31, 2026.
Dividends we have on record with an ex-dividend date after today and on or before the expected close are added; the deal page then says Dividends included. A CVR isn't counted.
It is simple, not compounded, and assumes the deal closes at the offer on that date. If it closes later, the same spread earns less per year. There is no figure without an expected close, or once that day has come.
How it is worked out
Annualized spread = (offer + dividends before the close − delayed close) ÷ delayed close × 365 ÷ days to the expected close
A worked example
Example, with made-up numbers
Offer $50.00, delayed close $48.00, expected close 120 days from today, no dividends.
- (50.00 − 48.00) ÷ 48.00 × 365 ÷ 120 = 12.7%
- With a $0.50 dividend before the close:(50.50 − 48.00) ÷ 48.00 × 365 ÷ 120 = 15.8%
- The same spread with 365 days to go:4.2%
Easily confused with
- Spread
- The gap itself, however long the deal takes. The annualized spread spreads that gap over the days to closing.
- Expected close
- The date the companies expect the deal to close. The annualized spread uses it, so it changes when that date moves.
Questions
How do you annualize a merger arbitrage spread?
Multiply the spread by 365 and divide by the days to the expected close. A $2.00 gain on a $48.00 share over 120 days gives 2.00 ÷ 48.00 × 365 ÷ 120 = 12.7% a year. A compounded rate is a little higher.
What is a good annualized spread?
There's no standard. The rate reflects the wait and the chance that the deal fails. So a higher rate usually comes with more doubt about the deal or its date.
Why does the annualized spread fall when a deal is delayed?
With a fixed offer and no other payments, the gain in dollars stays the same but takes longer to earn. $2.00 on a $48.00 share is 12.7% a year over 120 days, and 6.3% over 240 days.
Sources
Tracking AlphaBy Jera Value · Reviewed
Related terms
- SpreadThe gap between the offer and the share price, as a share of the price: how much the price would rise if the deal closed at the offer.
- Expected closeWhen the companies say they expect the deal to close.
- Dividends while pendingWhether the target may keep paying its regular dividends before the deal closes.