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Explain investment of bank for illiquidity premium

When my company is not listed, therefore the investment banks apply an illiquidity premium. In fact, they say this is an illiquidity premium but then they call this a small cap premium. Only one of the banks, apparently based upon Titman y Martin (2007), that added the given small cap premiums as: “0.91 percent if the capitalization is situated among $1,167 and $4,794 million; 1.70 percent if the capitalization is among $331 and $1,167 million; 4.01% if this is lower than $331 million”. The other bank adds 2% since historically the return of small companies was smaller than those big companies. Which one is more suitable?

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It is clear that the size is not always a source of risk: here, in all sectors, small companies along with lower risks than bigger ones. Conversely, it does not seem that illiquidity influences the value when the shares of an unlisted company have a buyer, either because this is stated in the bylaws of the company, or since a shareholder wants to convert his/her debt in shares…

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