Case 99 / 183 Analyst

IPO Pricing and Stabilization

Capital Markets — ECM/DCM

The prompt

“As an equity capital markets analyst, you are tasked with setting the final IPO price for a company from the demand recorded in its order book, sizing the offering once the over-allotment option is included, and showing how the stabilisation agent uses that option to support the share price after trading begins.”

📋 What you're given

As an equity capital markets analyst, you are tasked with setting the final IPO price for a company from the demand recorded in its order book, sizing the offering once the over-allotment option is included, and showing how the stabilisation agent uses that option to support the share price after trading begins.

1. Task Overview

Task: Determine where the bookrunners land the offer price given the demand in the book, establish how large the offering actually becomes and what it delivers in proceeds, and then show what the stabilisation agent can and cannot do with the greenshoe once the shares start trading.

Step 1: Given Data — Nordwind Logistics AG IPO

Nordwind Logistics AG is listing on the Frankfurt Stock Exchange; the terms of the offering and the demand recorded in the book at the close of the bookbuilding period are set out below.

Line ItemValue
Pre-IPO shares outstanding80.0m
Primary shares (newly issued by the company)15.0m
Secondary shares (sold by existing shareholders)5.0m
Base offering (primary + secondary)20.0m
Greenshoe / over-allotment option15% of the base offering, all secondary shares
Indicative price range€22.00 – €26.00
Gross underwriting fee3.5% (0.035) of gross proceeds
Price per ShareDemand in the Book
€22.0092.0m shares
€23.0078.0m shares
€24.0066.0m shares
€25.0048.0m shares
€26.0031.0m shares

Step 2: Bookbuilding Coverage Ratio

Show Coverage Ratio Formula

Coverage Ratio = Demand at Price Level / Base Offering Shares

Using this formula, compute the coverage ratio at each price level in the book.

Step 3: Final Offer Price

Show Pricing Rule

Final Offer Price = highest price in the range at which Coverage Ratio ≥ Target Coverage

Assume:

  • Target coverage on the base offering = 3.0x
  • The bookrunners will not price outside the indicative range

Using this rule, determine the final offer price.

Step 4: Greenshoe Size and Total Offering Size

Show Greenshoe and Total Offering Formulas

Greenshoe Shares = Base Offering Shares × Greenshoe Percentage

Total Offering Shares = Base Offering Shares + Greenshoe Shares

Using these formulas, compute the greenshoe size and the total offering size.

Step 5: Gross and Net Proceeds

Show Proceeds Formulas

Gross Proceeds = Total Offering Shares × Final Offer Price

Underwriting Fee = Gross Proceeds × Fee Percentage

Net Proceeds = Gross Proceeds - Underwriting Fee

Using these formulas, compute gross proceeds, the underwriting fee and net proceeds, and split them between the company and the selling shareholders.

Step 6: Post-IPO Market Capitalisation and Free Float

Show Market Capitalisation and Free Float Formulas

Shares Outstanding Post-IPO = Pre-IPO Shares + Primary Shares Issued

Market Capitalisation = Shares Outstanding Post-IPO × Final Offer Price

Free Float % = Total Offering Shares / Shares Outstanding Post-IPO

Using these formulas, compute the post-IPO market capitalisation and the free float.

Step 7: Stabilisation Outcome in the Aftermarket

Show Stabilisation Result Formula

Stabilisation Result = Greenshoe Shares × (Final Offer Price - Average Market Purchase Price)

Assume:

  • The syndicate over-allots the base offering plus the full greenshoe, leaving it short by the greenshoe amount at closing
  • The greenshoe may be exercised only at the final offer price
  • Upside scenario: the shares trade at €27.00 throughout the 30-day stabilisation period
  • Downside scenario: the syndicate covers its entire short in the market at an average price of €22.50

Using these inputs, determine what the stabilisation agent does in each scenario and compute the economic result of the downside case.

💡 Model answer

Try answering out loud first — then reveal the model answer and compare.

⚠️ Common mistakes

  • Measuring the coverage ratio against the total offering including the greenshoe instead of against the base offering — the book is always sized against the base deal, and the mistake understates coverage by roughly 13%.
  • Treating the greenshoe as automatically exercised. It is an option held by the syndicate, and it lapses whenever the stock trades below the offer price, because covering in the market is then cheaper.
  • Crediting the company with the full €552.0m of gross proceeds. Only the primary tranche reaches the balance sheet; secondary and greenshoe proceeds go to the selling shareholders.
  • Adding the greenshoe shares to the post-IPO share count. A secondary greenshoe transfers existing shares, so it changes the free float but not shares outstanding or market capitalisation.
  • Describing stabilisation as the bank propping up the stock with its own capital at risk. The purchases close a short the syndicate deliberately created by over-allotting, which is precisely what makes them self-funding and legally permissible.
  • Forgetting that stabilisation may never be executed above the offer price and expires after 30 calendar days — the offer price is a soft floor, not a guarantee.

🔁 Follow-up questions

➡️ Related cases

Previous Case 98: Bond Basics: Duration, Yield, Price

⭐ Rate this case

0 ratings

💬 Comments (0)

No comments yet — be the first to ask a question.

Part of a 183-case learning path. Create a free account to save progress & unlock follow-up answers.
Create free account