Introduction
A rights issue under the Companies Act, 2013 is based on a simple principle: when a company proposes to issue further equity shares, the shares must first be offered to existing equity shareholders proportionately.
The difficulty arises when the proportionate entitlement does not result in a whole number of shares.
For example, assume that ABC Technologies Private Limited has 19,58,824 fully paid equity shares and proposes to raise approximately ₹1,00,00,000 through a rights issue at ₹300 per share.
The proposed fund raise itself creates the first fraction:
₹1,00,00,000 ÷ ₹300 = 33,333.33
The company must therefore decide whether to issue 33,333 shares, raising ₹99,99,900, or 33,334 shares, raising ₹1,00,00,200. The Companies Act does not require the company to raise an exact round rupee amount. The better approach is for the Board to approve an exact number of whole shares and the corresponding issue amount.
The more significant problem arises when those shares are allocated among existing shareholders.
The Legal Basis for Rights Entitlement
Clause (a) of sub-section (1) of Section 62 of the Companies Act, 2013 requires further shares to be offered to existing equity shareholders:
“in proportion, as nearly as circumstances admit, to the paid-up share capital on those shares.”
The words “as nearly as circumstances admit” are important. They recognise that exact mathematical proportionality may not always be possible.
Where all existing equity shares have the same face value and are fully paid, the entitlement can ordinarily be calculated as follows:
Rights Entitlement = (Shares held by the shareholder / Total existing equity shares) × Total rights shares
Suppose the company decides to issue 33,333 shares. A shareholder holding 1,00,000 existing shares would have an entitlement of approximately:
1,00,000 × 33,333 ÷ 19,58,824 = 1,701.6843 or 1,00,000 × (33,333 ÷ 19,58,824) = 1,701.6843
The shareholder cannot conveniently be allotted 1,701.6843 registered equity shares. The company must therefore determine how the fraction of 0.6843 will be treated.
A Fractional Entitlement Is Not Necessarily a Fractional Share
This distinction is fundamental.
An entitlement of 1,701.6843 shares is first a mathematical result of applying the rights ratio. It does not necessarily mean that the shareholder must receive 1,701 whole shares together with 0.6843 of a registered share.
The existing Companies Act framework continues to contemplate share capital divided into identifiable shares of a fixed amount. Table F of Schedule I also recognises that a company is not bound to recognise a fractional interest in a share.
The Company Law Committee Report, 2022 separately recommended introducing a statutory framework permitting fractional shares in dematerialised form. That recommendation itself highlights the limitations of the existing framework. As of 24 September, 2026, a general statutory regime permitting companies to issue and register fractional shares has not been introduced.
Accordingly, a conventional rights issue should ordinarily be structured around whole shares, with a separate policy for dealing with mathematical fractional entitlements.
Does the Companies Act Prescribe How Fractions Must Be Rounded?
No specific rounding methodology is prescribed.
The Companies Act does not require companies to:
- round every entitlement down;
- round to the nearest whole share;
- round every entitlement upward; or
- use the Largest Remainder Method.
The legal requirement is instead that the offer should remain proportionate “as nearly as circumstances admit.”
This gives the Board some practical flexibility, but that flexibility should not become arbitrary discretion.
Rounding Down
A company may round 1,701.6843 down to 1,701 shares.
This is simple and treats every shareholder consistently. However, if every entitlement is rounded down, the aggregate number of shares offered may be lower than the total number of shares approved for the rights issue.
The company must then determine how the remaining whole shares will be dealt with.
Rounding to the Nearest Whole Share
The same entitlement could instead be rounded to 1,702 shares.
Although intuitive, independently rounding every shareholder's entitlement may cause the aggregate allocation to exceed or fall below the total number of shares approved by the Board.
A reconciliation mechanism would therefore still be required.
Largest Remainder Method
Another possible approach is the Largest Remainder Method.
Under this method, every shareholder initially receives the whole-number portion of their entitlement. The remaining shares are then allocated to shareholders having the largest fractional remainders.
For example:
Shareholder A has an exact entitlement of 100.80, with an initial allocation of 100, leaving a fraction of 0.80. Shareholder B’s exact entitlement is 75.65, with an initial allocation of 75 and a fraction of 0.65. Shareholder C is entitled to 50.20, with an initial allocation of 50 and a fraction of 0.20.
If two shares remain after the initial allocation, they would be allocated to A and B because they have the two largest fractional remainders.
This method has an obvious mathematical advantage: the final allocation can be reconciled exactly with the number of shares approved for issue.
However, the Largest Remainder Method is not prescribed, recognised or preferred by the Companies Act. It should therefore not be presented as a statutory requirement or legal safe harbour. It is better characterised as a potentially defensible professional methodology for implementing proportionality.
What Should the Board Do?
The principal legal risk is not the use of one particular mathematical formula. The greater risk arises where the Board decides how to round entitlements only after seeing which shareholders will benefit.
The Supreme Court's decisions in Nanalal Zaver v. Bombay Life Assurance Co. Ltd., AIR 1950 SC 172, Needle Industries (India) Ltd. v. Needle Industries Newey (India) Holding Ltd., (1981) 3 SCC 333, and Dale & Carrington Investment (P) Ltd. v. P.K. Prathapan, (2005) 1 SCC 212 reinforce the broader principle that powers relating to the issue and allotment of shares must be exercised bona fide and for a proper corporate purpose.
None of these decisions prescribes a rounding formula. Their relevance is that a rights issue should not be structured or administered to improperly favour selected shareholders or manipulate control.
Accordingly, the Board should determine the following before the rights offer is issued:
- The exact number of whole shares constituting the rights issue.
- The formula for calculating each shareholder's entitlement.
- The treatment of fractional entitlements.
- The method for dealing with any shares remaining after rounding.
- Any tie-breaking mechanism if a Largest Remainder Method is adopted.
The methodology should then be clearly disclosed in the offer documentation and applied uniformly.
The Practical Position
There is no single statutory answer to the fractional-entitlement problem.
Rounding down is simple and conservative, but may leave shares undistributed. Nearest-number rounding is intuitive but may not reconcile with the approved issue size. Rounding up can disproportionately benefit smaller holdings and may result in over-allocation. The Largest Remainder Method provides a mathematically coherent reconciliation mechanism, but remains a Board-adopted methodology rather than a rule of company law.
The safest legal principle is therefore not that one particular rounding formula must be followed.
Rather, the company should adopt a pre-determined, transparent, objective and consistently applied methodology that preserves the proportionality required by Section 62(1)(a) as nearly as practicable.
That distinction between a fractional mathematical entitlement and a fractional legal share is the key to understanding the rounding problem in a rights issue.
Disclaimer: This article is intended for general professional and educational purposes and reflects the Companies Act, 2013 framework considered as of 24 September, 2026. The company, shareholding and numerical examples used above are hypothetical and do not relate to any identified client or transaction. The appropriate treatment of fractional entitlements may depend on the company's Articles of Association, capital structure and the specific terms of the proposed rights issue.