Capital increases, option rights and structure of offering operations

Free increase

It occurs with the allocation of reserves to capital, without new monetary contributions from the shareholders. It does not generate new cash, but reclassifies the net worth and can have a signaling value on the capital solidity.

In terms of immediate economic value for the shareholder, the effect is typically neutral except for impacts on the liquidity of the stock.

The financial neutrality of the operation requires that the market perceives the reclassification as a sign of solidity and not as a substitute for a lack of ability to generate operating cash.

Paid increase

It involves the subscription of new shares against the payment of capital and generates net proceeds for the company. It is the typical operation when the objective is to finance growth or rebalance the financial structure.

Its effectiveness depends on pricing, level of participation, possible unopted rights, and overall cost of execution.

The structure can be fully pre-emptive, partially pre-emptive or reserved placement: the choice influences fundraising speed, level of protection of minorities and authorization complexity.

Impact on equity

In a paid increase, net worth grows by the amount raised (before/net of transaction costs). In the simplified form:

\[ PN_{post}=PN_{pre}+Net\ Proceeds\ from\ the\ Capital\ Increase \]

The accounting of costs directly attributable to the increase reduces the net portion recorded in equity, with effects to be considered when reading the post-deal ratios.

Minimum legal constraint

The issue price cannot be lower than the nominal value of the individual share. This ensures the legal coherence of the share capital and the minimum protection of creditors.

This constraint is particularly relevant in transactions on issuers with high volatility, where the market price can approach the nominal value and restrict discount-setting room for maneuver.

Economic market constraint

In practice the price is often set at a discount compared to the cum-rights quotation to encourage participation, compensate the investor's risk and increase the probability of success of the operation.

However, a discount that is too high transfers value from non-participating shareholders to subscribers and can be interpreted negatively.

The discount measure is often calibrated by comparing comparable operations by sector, market cap and volatility regime, so as to avoid out-of-benchmark pricing.

Pricing trade-off

High price: lower dilution but risk of under-subscription. Low price: greater probability of coverage but greater dilutive effect and possible sign of weakness.

Optimal pricing minimizes the total cost of the transaction, not just the percentage discount.

In terms of auction theory, the optimal price minimizes the joint probability of placement failure and excessive money left on the table, subject to the reputational constraints of the issuer.

Definition of needs

The capital to be raised must derive from the industrial plan and the prospective cash profile, including prudential buffer on execution times and possible macro deviations.

A robust practice involves sensitivity analysis on basic, downside and stress scenarios, in order to size the capital raise also based on shocks to revenues, margins and working capital.

Basic formula of the number of shares

Given a target capital raise \(K\) and a subscription price \(S\):

\[ N_{nuove}=\frac{K}{S} \]

The value must be adapted to the statutory constraints and the option ratio chosen.

In the operational step the final number can be rounded to ensure viable option ratios and minimize technical remains in the underwriting phase.

Consistency with market absorption

Sizing must be compatible with potential demand (core shareholders + institutional + retail), otherwise the risk of unopted rights and dependence on the guarantee consortium increases.

Verification normally takes place via pre-sounding and qualitative investor feedback, distinguishing non-binding interest from orders with a high probability of conversion.

Dilution of participation

If the shareholder does not exercise the option right, his percentage share is reduced. With \(N_{old}\) existing shares and \(N_{new}\) new shares:

\[ Post\text{-}Issue\ Ownership_{non\ subscriber}=\frac{Shares\ Held}{N_{old}+N_{new}} \]

For institutional investors with minimum governance thresholds, even a limited percentage reduction can change influence rights and shareholder engagement strategies.

Dilution of value per share

In the absence of expected profit growth, the increase may compress EPS in the short term. For this reason the market carefully evaluates the quality of the financed initiatives.

The operation creates value only if the return on new investments exceeds the cost of capital.

The correct evaluation requires comparing pro-forma EPS and expected return of the financed projects: initial accounting dilution may be acceptable if followed by ROE growth in the medium term.

Theoretical neutrality with option exercised/sold

In a frictionless market, the shareholder maintains overall economic value if he exercises his rights or sells them at the correct theoretical price. The loss emerges when the right is allowed to lapse.

Neutrality also presupposes the absence of liquidity constraints on the shareholder; in practice, cash-constrained investors may suffer opportunity costs higher than the theoretical value of the right.

Corporate phase

Assembly/board resolution, definition of the terms of the offer, possible delegation, identification of advisor and global coordinator.

At this stage it is useful to define project governance with RACI responsibility, to avoid decision-making delays between the board, management and advisors in the critical windows of the operation.

Regulatory phase

Preparation of information documentation, required approvals, operational calendar, communications to the market and technical setup for rights trading.

The quality of the documentation reduces the risk of additional requests and calendar slippages, a decisive factor when the market window is narrow.

Market phase

Period of exercise of the rights, possible auction of the unexercised, final settlement, admission of new shares and updating of the share capital.

Management of the offer period requires daily monitoring of subscriptions, volatility and newsflow, with the possibility of timely communication interventions within regulatory limits.

Information transparency

The issuer must explain the industrial rationale, use of funds, risks, dilutive effects and alternative scenarios. Incomplete disclosure increases the discount requested by the market.

To increase credibility, the disclosure should include KPIs that can be verified ex post, so as to allow the market to concretely measure the effectiveness of the use of the funds.

Conflicts and related parties

Transactions with related parties, subscription commitments of relevant members, and consortium conditions must be clearly disclosed to avoid asymmetries and disputes.

The fairness analysis becomes essential when related parties take on multiple roles (underwriters, guarantors, advisors), to preserve the decision-making neutrality of the administrative body.

Management accountability

After the operation, management must periodically report the progress of the financed plan, transforming the capital raised into measurable results.

Good post-deal monitoring involves periodic reporting on actual capex, milestones achieved and differences compared to the business plan presented during the offer phase.

Cost components

In addition to explicit commissions (advisor, guarantee, legal), the cost includes issue discounts, reputational impact and volatility induced by the operation.

The breakdown between certain costs and contingent costs (e.g. variable fees linked to the outcome) helps to realistically estimate the economic break-even of the operation.

Actual net proceeds

The cash box actually available is:

\[ K_{net}=K_{gross}-Direct\ Costs-\text{possible implicit pricing cost} \]

It is this magnitude that must be compared with industrial needs.

In advanced financial analysis it is also convenient to compare discounted net proceeds, considering actual fundraising timing with respect to the investment timetable.

Quality of the operation

An increase is "efficient" when it maximizes net proceeds for a given level of executive risk, maintaining balance between shareholder protection and probability of success.

A useful synthetic metric is the ratio between expected created value and total cost of fundraising, monitored throughout the execution cycle and not just at the closing date.

Exercise the right

The shareholder pays new capital, maintains the relevant share and participates in future growth according to the new capital structure.

The rational decision depends on the fundamental view on the issuer, the opportunity cost of capital and the consistency of the weight of the security with respect to the investor's portfolio limits.

Sell ​​the right

The shareholder does not invest further liquidity but realizes the economic value of the right by trading it on the market. This choice is rational when the investor does not want to increase exposure but wants to avoid a loss of value.

Optimal monetization requires attention to hourly liquidity of the rights market, to reduce slippage and commission impact on small positions.

Allow the right to lapse

It is the economically worst choice in the absence of external constraints, because it involves loss of the right's value and reduction of the ownership stake.

Many cases of forfeiture derive from operational inefficiencies (custody, timing, lack of instruction): this is why intermediaries and institutional investors use automated alerts and workflows.

Definition of the relationship

If each \(n\) old shares give the right to subscribe to \(m\) new shares, the option ratio is \(n:m\).

The ratio determines how much liquidity each shareholder must invest to keep the share unchanged.

The relationship also influences retail perception: excessively complex structures can reduce the comprehensibility of the offer and lower the rate of spontaneous participation.

Theoretical ex-rights price (TERP)

With cum-rights price \(P_c\) and subscription price \(S\):

\[ TERP=\frac{nP_c+mS}{n+m} \]

The TERP is a theoretical benchmark; the actual price may differ due to volatility, liquidity and expectations.

The TERP is a static baseline: in real conditions it must be interpreted together with implicit volatility, sector momentum and book depth on ex-rights days.

Theoretical value of the right

The unit value of the right, in simplified form, is:

\[ V_{dir}=P_c-TERP \]

Alternatively it can be expressed as a function of the discount and the option ratio.

The distance between the theoretical value and the market price of the right can be exploited for arbitrage only if transaction costs, settlement times and execution risk remain contained.

Principle of neutrality

In the absence of friction, exercising or selling the right leads to equivalent wealth, because the economic value of the dilution is compensated by the right itself.

Neutrality is a result of competitive equilibrium: the more liquid and transparent the market is, the more theoretical neutrality tends to emerge also in the observed prices.

When neutrality breaks

Transaction costs, taxes, low liquidity of rights, operational constraints and intraday volatility can generate deviations between theoretical and realized value.

In periods of systemic stress, the correlation between illiquidity and risk aversion amplifies deviations, making the right more volatile than the underlying.

Practical implication

The shareholder must monitor the calendar, price of rights and operating costs. Decision inertia is often the main source of economic loss in options transactions.

For professional investors, rights management is part of the cash governance of the portfolio, with dedicated procedures to avoid unremunerated technical losses.

Operation data

Let's say: \(n=4\), \(m=1\), \(P_c=10\), \(S=7\).

For every 4 old shares you can subscribe to 1 new share at 7.

In teaching examples it is always advisable to distinguish values ​​per action and overall values, so as to avoid errors of scale in the transition from theoretical calculation to operational decision.

TERP calculation

\[ TERP=\frac{4\cdot 10+1\cdot 7}{5}=9{,}4 \]

The theoretical ex-rights price is 9.4.

The manually calculated TERP must be compared with the first ex-rights price observed to estimate the extent of the market effect and the presence of any information frictions.

Value of the right

\[ V_{dir}=10-9{,}4=0{,}6 \]

If the right is trading well below 0.6 without market motivations, temporary inefficiency may emerge.

A right with a persistently depressed price may indicate negative expectations on the company or simple lack of liquidity in the traded rights segment.

What are unopted rights?

It is the portion of rights/shares not subscribed by those entitled during the ordinary period. It represents an executive risk, especially in large operations.

The unopted is also an indirect measure of current shareholder confidence: high levels suggest mismatch between corporate narrative and market perception of risk.

Placement procedures

The unopted is typically offered on the market according to regulated procedures. The objective is to maximize coverage of the operation and reduce residuals for the consortium.

The quality of the procedure is evaluated on transparency, breadth of the audience contacted and speed of execution, elements that affect the price of absorption of the unopted.

Market signal

A high level of unopted may signal misaligned pricing and low confidence in the business plan or deteriorated market conditions during the offering period.

Correct interpretation requires control for exogenous factors: sectoral or macro shocks in the offering period can inflate the unopted even in structurally sound operations.

Economic rationale

In some strategic operations the company can limit/exclude the option to accelerate fundraising, attract qualified investors or carry out extraordinary time-bound operations.

When the objective is the entry of a strategic anchor investor, the limitation of the option can be justified by measurable industrial benefits and not just by the need for speed.

Necessary protections

A rigorous and documented justification is needed, with fairness safeguards on the price, to avoid unjustified transfers of value from minorities to specific subscribers.

Independent opinions and market benchmarks on price are fundamental tools to reduce the risk of disputes and protect the substantial legitimacy of the transaction.

Reputational effects

Even when legitimate, exclusion can be perceived negatively if not accompanied by clear disclosure and by an industrial project with verifiable benefits for all shareholders.

The reputation for fairness built in a single operation conditions the future ability to raise capital under efficient conditions in subsequent market windows.

Progressive coverage

Monitoring the share of rights exercised daily allows you to anticipate the risk of unexercised rights and to calibrate any commercial and communication actions during the offer.

A daily dashboard with cumulative subscriptions, segmentation by investor class and comparison with targets allows timely communication and syndication adjustments.

Observed vs theoretical deviation

A useful indicator is:

\[ Gap_{right}=\frac{P_{right,market}-V_{right,theoretical}}{V_{right,theoretical}} \]

Persistent deviations may signal liquidity tensions or negative expectations.

For advanced analyses, the deviation must be read together with volumes on the right and bid-ask spread, so as to distinguish real mispricing from simple microstructural noise.

Anomalous volatility of the stock

The price-volume dynamics during the offering must be compared with historical regime to distinguish normal technical adjustment from informational or speculative stress.

The use of regime indicators (e.g. rolling volatility and abnormal volume) helps to separate the technical component from information signals truly relevant to the fundamental value.

OPS (public subscription offer)

Issuance of new shares: the proceeds enter the company and finance the industrial plan. It is the typical structure when the main objective is raising capital.

The primary component is particularly appreciated when the issuer demonstrates discipline in capital allocation and a clear path to post-transaction value creation.

OPV (public offering for sale)

Disposal of existing shares by current shareholders. Increases float and liquidity, but it does not generate new cash for the issuer.

If the share sold is too large compared to the pre-existing free float, the market can interpret it as a signal of disengagement from the historical shareholders and request an additional discount.

Hybrid structures and ABB

Operations often combine primary and secondary components; alternatively, accelerated bookbuilding can be used for rapid capital raising from institutional investors.

ABB offers speed but reduces the depth of price discovery compared with more extensive processes, and is therefore suitable for favorable market windows and pre-profiled investors.

Indicative range (non-binding)

The issuer communicates an initial price range that guides order gathering. The range is an information tool, not the final offer price.

The effective range must be informative enough to drive orders, but wide enough to absorb volatility without compromising the credibility of the process.

Collection of price-quantity orders

Institutional investors indicate desired quantities and acceptable price levels. From this matrix the demand curve is obtained and the elasticity of capital raising is evaluated.

The book analysis distinguishes price-sensitive orders from inelastic orders: this information is crucial to avoid unbalanced allocations on opportunistic demand.

Final price determination

The final price incorporates book depth, demand quality, market scenario and objective of balanced aftermarket performance.

The optimum is not the "maximum price" but the "maximum sustainable value."

The final decision also integrates orderly aftermarket objectives: too aggressive a price can maximize initial revenue but increase instability in the first sessions.

Definition

Oversubscription occurs when demand exceeds available supply. Synthetic indicator:

\[ OSR=\frac{Total\ Demand}{Available\ Supply} \]

A very high OSR can also reflect tactical over-ordering phenomena; for this reason it must be normalized considering historical fill rates and typical behavior of participants.

Quality vs quantity of demand

A high OSR is not enough: the composition matters (long-only vs hedge/tactical), the concentration of orders and the established post-listing holding horizon.

Orders with a long horizon reduce future volatility; on the contrary, a large share of short-term investors tends to amplify selling pressure in the post-listing period.

Title allocation and stability

An allocation oriented towards stable investors reduces initial volatility and improves price stability, even if it limits the "peak" demand in the short term.

The allocation policy is therefore a risk management tool: favoring investors consistent with the issuer's equity history improves the stability of the secondary book.

Operational definitions

We talk about underpricing when the offer price is lower than the price expressed by the market on the first day. Standard size:

\[ Underpricing\% = \frac{P_{1}-P_{off}}{P_{off}}\times 100 \]

The underpricing indicator must also be interpreted with respect to the sector beta on the debut day, to isolate the specific component of the operation from the general market movement.

Why it happens

Information asymmetry, investor risk aversion, macro uncertainty, placers' incentives to maximize the success of the operation and expected post-listing volatility.

In the literature, a share of underpricing is seen as an information premium requested by less informed investors to participate in offers where insiders have a cognitive advantage.

Implicit cost for the issuer

High underpricing indicates possible “money left on the table” by the issuer. However, a certain degree of discounting may be rational to ensure a good aftermarket in uncertain contexts.

The implicit cost must be compared with the benefit of certain completion of the offer: in some contexts, paying a success premium may be rational from a long-term perspective.

Mechanism

The bonus share attributes additional shares to those who keep the securities in their portfolio for a pre-established period. It is an incentive to reduce speculative turnover in the early stages of the security's life.

The design of the mechanism must precisely define the holding period, eligibility criteria and attribution methods, avoiding operational ambiguities at the intermediary level.

Economic objective

Promote a more stable shareholder base, alleviate immediate selling pressure and support a price path consistent with fundamentals in the medium term.

If well calibrated, the incentive favors a demand curve less sensitive to short-term noise, improving the quality of price discovery in the first few weeks.

Critical issues

If not well calibrated, the bonus share can complicate the structure of the offer and create opportunistic expectations. It should be used as an accessory tool, not a substitute for correct pricing.

An incentive that is too generous can attract ex ante opportunistic behavior and concentrated sales at the expiry of the lock period, with a possible cliff effect on the price.

Purpose

The company requests competing proposals from intermediaries to choose the placement syndicate with a better combination of expected pricing, distribution capacity, sector experience and cost.

Competition between proposals also improves the quality of the post-deal service (research coverage, investor access, market intelligence), not just the immediate economic conditions.

Evaluation criteria

Execution track record, access to target investors, quality of equity research, credibility in the stabilization phases and transparent commission structure.

A comprehensive assessment combines quantitative (fees, execution history) and qualitative metrics (team credibility, ability to manage complex investors and moments of stress).

Managerial outcome

A well-designed beauty contest reduces the risk of dependence on a single advisor and increases the overall quality of the placement process.

The beauty contest should end with a clear mandate and shared execution KPIs, so as to make the syndicate's performance measurable throughout the operation.

Guarantee consortium

Intermediaries can undertake residual subscription commitments to mitigate risk of non-coverage. The cost of the collateral reflects perceived risk of the transaction.

The presence of strong underwriting reduces the tail risk of the operation but transfers part of the risk to the banking system, which is why the guarantee conditions reflect the profile of the issuer.

Greenshoe and stabilization

Over-allotment and stabilization mechanisms can attenuate initial volatility, favoring a more orderly transition from the offer price to the secondary equilibrium price.

Stabilization must be used with discipline and transparency: it supports the transition to the secondary market but cannot replace initial pricing consistent with fundamentals.

Market context

In adverse macro windows even technically correct operations can suffer execution stress. Timing remains a decisive variable in the success of the capital raise.

Timing and macro window remain crucial: even quality issuers suffer repricing in the presence of shocks on rates, geopolitics or generalized risk-off.

Ex-ante indicators

• Consistency between the amount raised and the industrial plan.
• Pricing balance with respect to risk and expected demand.
• Quality of disclosure and robustness of governance.

An effective ex-ante checklist also includes internal organizational readiness: without reliable processes and data, the quality of the offer remains fragile regardless of pricing.

Indicators being placed

• Depth and composition of the book.
• Oversubscription ratio and order distribution.
• Performance of rights compared to the theoretical value.

During the book it is useful to monitor the concentration of top-10 orders and intraday variation in demand, to prevent excessive dependence on a few participants.

Post-operation indicators

• Price stability in the first month/quarter.
• Evolution of liquidity, spread and turnover.
• Ability of the company to convert capital raised into operating results.

In summary, a capital increase is successful when it improves the financial profile in a lasting way of the issuer without destroying value for existing shareholders.

In the post-deal, the most important verification is the conversion of the capital raised into results: without industrial execution, the initial price stability does not translate into the creation of lasting value.