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Hedging Stock-Funded M&A Exposure with an Index

Article Quant Q&A · Author: mHelpMe

Summary

The document considers how to hedge an equity portfolio of acquisition targets when some deals pay part of the consideration in acquirer shares. It proposes estimating the portfolio’s index exposure by multiplying each acquirer’s dollar position by its beta and summing across deals. That total beta-weighted amount gives an approximate index-dollar exposure to hedge; deal weights determine each position’s share of the portfolio.

The approach is a broad market hedge, so it does not remove company-specific risk in individual deals. The answer notes that the hedge may work better across a larger set of deals with weights of comparable scale. The discussion does not specify how to convert the exposure into index units or address changing betas, deal terms, or hedge rebalancing, so implementation requires further assumptions.

Key ideas

  • Estimate index exposure by summing each position’s dollar value multiplied by its beta.
  • Use deal weights to determine the dollar position assigned to each acquisition.
  • An index hedge reduces broad market exposure but leaves deal-specific risk.
  • A diversified set of similarly weighted deals may make the aggregate beta hedge more effective.

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Full text
# M&A hedging an equity portfolio against an index


# M&A hedging an equity portfolio against an index












Quick Note

This question was already posted under the userID user8170. Reason being I could not access my account. Now I am able to login to my account I am reposting the question here and will delete it from the profile user8170 (no comments or answers were posted anyway).

Question

I am trying to run a simple back test on a M&A strategy.

The idea is to buy the target company for the length of the deal and obviously hope to see a profit. The weight given to each deal is decided by the size of the deal.

Some of the deals are part cash, part equity in my study. I have a field in my data called 'Stock Exchange Ratio - Buyer Shares' (SER). This field is defined as the number of shares being issued by the acquirer to the target.

So for example if the acquirer called ABC is buying the target company called TAR in a part cash, part stock deal and the SER is 0.8. Then investors holding TAR will receive 0.8 shares of ABC for every TAR share they hold.

So when I have deals that are not 100% cash I will get extra equity exposure (from the acquirer) that I need to hedge as I understand it.

Rather than short every acquiring company and partly for simplicity I am going to short the MSCI World Index. I do not know how to calculate how much I need to hedge my portfolio against the index though? I have all the beta's for the acquiring companies.

```
  Portfolio

  Acquirer Target  Deal Size    Weight      Stock Exchange Ratio - Buyer Shares
  ABC      DEF     $1,000m      50%         0
  MNO      LMN     $600m        30%         0.6
  GHI      QRS     $400m        20%         2.5
```

Update

The beta's for the 3 companies above are,

```
ABC 0.93
MNO 1.11
GHI 1.14
```

## Answer by Bram (score 2, accepted)

https://quant.stackexchange.com/a/14477

If you are investing an amount $M$, split over deals indexed by $i$ and with a weight $w_i$, then your dollar position in each share will be $w_i M$. The exposure to the index will be $\sum \beta_i w_i M$

You should realize that this will not hedge idiosyncratic risks. In general, the more deals you have, the better this type of hedge should work (assuming the weights are in the same order of magnitude)

## Answer by lol (score 1)

https://quant.stackexchange.com/a/14476

I think u can hedge using the description given in JC hull.. here he uses index futures. A detailed explanation is given for one stock. I think u can extend it to a portfolio. Also one can hedge by combining two or three stock indices. See page 33 in this link http://www2.fiu.edu/~dupoyetb/Financial_Risk_Mgt/lectures/Ch03.pdf

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.