"We are pleased that the review will be comprehensive, with all options - however radical - considered dispassionately," said Giles Parkinson, fund manager at Aviva Investors.
The group's personal care division accounts for about 60pc of the business and sales are growing at a rate of 4.2pc. Its food division has sales of €10bn and is growing sales at less than half that rate, as consumers shun established packaged food brands in favour of healthy or artisanal products.
The promise of a potential shake-up of the UK's third largest company has also prompted speculation that Unilever could simplify its complicated 90-year-old Anglo-Dutch dual structure.
However, the tax consquences are likely to prevent such a move. Currently, UK investors receive tax credits on UK-sourced dividends and Dutch shareholders can reclaim or avoid withholding tax on Dutch-sourced dividends.
Unilever had considered a separation and a move to a single listing 12 years ago, but dismissed the idea because of the onerous tax charges, which would limit investors' flexibility to buy shares in different currencies. "The price of simplicity may be too high," said Tom Wesel, partner at international tax boutique Milestone.
Mr Parkinson met with chief executive officer Paul Polman and chairman Marijn Dekkers this week to discuss the dramatic events of the past fortnight and said that he was confident the bosses had long-term shareholder interests aligned with their objectives.
"A split into foods and personal care might allow the former to flourish as an income stock and the latter as a growth stock," said Martin Deboo, analyst at Jefferies. "Investors might value the two at more than Unilever currently."
Investors also highlighted the one-off charges involved in a potential spin-off. During Cadbury's demerger with Schweppes, the two companies were stung with £130m on advisers' fees.
Top shareholders polled by The Sunday Telegraph said they remained supportive of Mr Polman.
"His feet are slightly being held to the fire now... but we don't feel there's any need for a drastic change," said Simon Brazier, from Investec Asset Management. "He's doing a good job."