Merger Arbitrage Spread Calculator
Merger Arbitrage Spread Calculator

Merger Arbitrage Spread Calculator

Do you have a Merger Arbitrage Spread Calculator example in Excel?” and “How do you calculate the profitability of a merger arbitrage spread in a stock swap deal with dividends?These are questions we are often asked by our followers here at Merger Arbitrage Limited.

To answer these and similar questions we have produced this step by step guide. We take the reader through an easy to use and downloadable Merger Arbitrage Spread Calculator available in excel. This spreadsheet calculates the value of stock deal spreads and demonstrates,

    • how the value of that spread can be affected by dividends
    • how interest rates effect profitability
    • how expected completion time plays an important role.

We also print a list of the cash flows to easily highlight how the spread is created. Information sources for the required inputs are also suggested.

To get the most from this tutorial, download the accompanying spreadsheet (below) using the icon towards the bottom right hand corner of the image. Follow the data entry guide as suggested in the text or customize the data entry as per your own needs. No coding skills are necessary for the use of this spreadsheet but a basic understanding of excel is required.

Merger Arbitrage Spread Calculator - Guidelines

When an acquiring company chooses stock as a form of financing calculating the spread becomes slightly more complex than for a simple all cash offer. If dividends are involved and payable on BOTH the acquirer and target stock, the difficulty level rises again.

A large takeover (relative to the size of the acquirer) generally requires at least part payment in acquirer stock due to the difficulty in raising such a large amount of cash and the increased risk that additional debt burden brings. A stock deal reduces this burden but also dilutes existing shareholders control. A cash and stock offer will maintain the existing capital structure ratio and may negate the drawbacks of either singular option. Whether or not the deal is immediately earnings accretive is a factor specific to the deal. Once stock financing is agreed, the exchange ratio of acquirer shares for each target share needs to be calculated. The acquirer and its advisors amongst other things will to take into account the control premium offered to existing target shareholders to entice them to vote favorably on the deal at the extraordinary general meeting and the subsequent effect on the acquirer stock price following the announcement. A less than positive response from the market possibly due to perceived overpayment or unattainable synergies will depress the acquirer stock price. This makes the deal less valuable to the target shareholders and reduces the acquisition premium available to arbitrageurs.

The choice of payment in stock complicates the spread calculation because of the ratio of shares offered. The timing and payment of dividends further compounds this complication. Interest rates and the time value of money may have a large effect on these values. The most complicated version of this payment method is a “collar”. This is where the ratio of acquirer shares offered fluctuates depending on the value of acquirer stock at a predetermined time usually just prior to the completion of the deal. Due to the complexities involved in calculating this type of merger spread, we will subsequently be producing a separate accompanying article to deal with this topic.

Using the Model

Let us start building our model and value this spread. Throughout this guide, cells requiring user input are shaded light yellow. Don not worry if you make a mistake, a helpful pop-up message will appear to let you know what happened. Just press “esc” and continue with the correct data entry.

The green section “Offer Details” contains information specific to the deal as well as interest rates. This data will be available in the merger announcement usually given as a press release from Business Wire or a similar agency such as Cision PR Newswire. In addition, Merger Arbitrage Limited also publishes vital deal information for traders via the Merger Arbitrage Stocks page listings. These deal details also available using the dropdown menu at the top of the page. The interest rate should be commensurate with the time expected for the deal to complete.

In the blue “Acquirer” section we will add the current acquirer stock price but also any dividend information. Traders can enter up to four dividends, usually representing one year. Dividend data is easily obtainable from data providers such as Yahoo or your broker. The grey fields to the right of the dividend information calculate the present value of the dividend payments that fall within the expected timeframe of the deal. That is to say, dividends payable in the future have a discounted value in the present. This adjustment has NOT been made for the stock transactions because of individual rules regarding the payment of interest on short stock positions in brokerage accounts. The trader then repeats this process for the “Target” section highlighted in orange. If there are no dividends forecast, the trader can leave these fields blank.

The purple section, “Offer Analysis” displays a brief analysis of the return available by initiating a position in the spread. This figure includes dividend payments and is the present value of the spread adjusted for interest rates. It includes an annualized figure based on the expected date of deal consummation entered above.

Merger Arbitrage Spread Calculator – A Worked Example

On July 20, 2020, Chevron Corporation (CVX) and Noble Energy (NBLannounced a merger in an all-stock deal where NBL shareholders will receive 0.1191 shares of CVX for each NBL share they own. The expected deal closing schedule is given as Q4 2020 so we will use a singular closing date of December 31 2020. The stock price at market close for CVX following the announcement of the deal, was $84.06 and for NBL was $10.16. The forecast dividend payment information which was supplied by Interactive Brokers is listed in the following table.

1yr Forecast Dividend Information for CVX & NBL
Source: Interactive Brokers
CVX Dividend infoNBL Dividend info
29-Jul-20$1.290028-Jul-20$0.0200
17-Nov-20$1.29006-Nov-20$0.0200
12-Feb-21$1.29005-Feb-21$0.0200
18-May-21$1.290030-Apr-21$0.0200

We can go ahead and enter this data into our model. NOTE: in this example there is no stub period dividend payment. Also, there is no “cash portion” as part of this deal and we observe the interest rate as 1.50%. The model will automatically ignore dividends for either stock in the above table which lie beyond the expected completion date. They have been included for the purpose of completion. The user has the flexibility to change the expected completion date to a forecast completion date or drop-dead date (outside date) as required for deal analysis purposes.

Analysis

The “Theoretical offer value” is the net $ proceeds you receive from shorting the acquirer stock after paying the short dividends. As a position in the spread will (generally) imply a short position in the acquirer, any dividends will have to be paid in lieu. This payment is offset by the ex-dividend drop in the stock price but is still requires a cash outlay. The “Theoretical value of target” is the present value of the cost of buying the target stock. That is, the cost of the target stock, less the present value of the future receivable dividends.

The difference between these two figures is the value of the simple spread and in this case gives a value of $0.15 or 1.46%. A negative value in the “Spread ($)” field indicates the target stock is trading below the equivalent acquirer offer value and may provide a positive return if the deal completes. $0.15 is the profit achievable by buying 1 share of NBL and shorting .1191 shares of CVX. For practical purposes, this will of course be executed using whole numbers. If the parties consummate the deal successfully and the investor can reinvest the funds at an identical rate, the strategy will produce an annualized return of 3.28%.

Press the green button “Compute Cash Flow” and a summary of the cash flows will appear on the right hand side of the page. The model does NOT adjust these values for the effect of interest rates. Remember, buying stock requires a cash outlay. These figures represent the equivalent of buying 1 target share and shorting the acquirer by the exchange ratio. In this example shorting 0.1191 shares of CVX. The dividends paid in lieu therefore as multiplied by the exchange ratio. As the deal completes the long target position is surrendered for the acquirer stock. This in turn offsets the acquirer short position, thus zeroing out both stock positions. This results in a cash position in the final entry in the table. This shows the raw value of the spread assuming the deal will consummate as per the details entered in the sections to the left.

Further Example

On July 6, 2020, an announcement was made of the intended merger between Sunrun (RUN) and Vivint Solar (VSLR). Shareholders of VSLR will be entitled to receive the exchange ratio of 0.55 shares of SUN for each VSLR share they own. Neither of these two tech companies pay a dividend and the deal is expected to close in the final quarter of 2020. As the dividend yield is zero, simply delete any previous dividend information and enter the unique details of the deal in the “Offer Details” section and press “Compute Cash Flow” as before.

Conclusion

By altering the expected completion date, the annualized return can be greatly affected by the timing and payment of future dividends. A deal which has overrun its expected completion date and pays a large dividend may have a narrower spread than expected as traders speculate on the payment possibility of the next dividend. It is important to read the acquisition proposal closely to see what arrangements are applicable in this respect.

A rising interest rate may also affect the present value of the future dividends also effecting the profitability of the strategy. For now however low interest rates have only a muted effect especially as this strategy calls for a holding period usually lasting no longer than a few months and where dividends paid and received are of a similar value. For analysis of an example where the spread appeared to trade at a premium to the offer price and reasons why this might be the case, see our article discussing the Barrick (ABX) and Rangold (GOLD) merger spread. No taxes have been computed in any examples given.

This FREE merger arbitrage spread calculator can also be used for a variety of other investment and financial calculations. Relative value stock trading, also known as pairs trading or statistical arbitrage, operate in a similar manner to merger arbitrage. Firstly, the trader chooses a pair of stocks or other financial instruments. For example, the IQ Merger Arbitrage ETF (MNA) & the ProShares Merger ETF (MRGR). The trader then enters the prices and calculates the relative value spread in the same way as a merger arbitrage spread, but with the TRADER determining the ratio of one instrument to the other.

This article has highlighted the inputs required and their significance when using this merger arbitrage spread calculator to calculate the value of a merger arbitrage spread. It has also explained how the spread of that proposed takeover with payment in stock can be valued. The reader should now be capable of substituting their own data for a deal into the model or using multiple copies of the same model within a single excel file to monitor an entire portfolio. As a future development, the reader may choose to investigate the possibility of live prices being linked into excel enabling real time monitoring of all spreads.

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