Share Buybacks - Technical Question

Can anyone provide the intuition behind what they're explaining with regards to share buybacks and the impact on the share price? More specifically what equation is being referenced.

For example, cash-rich but otherwise risky companies could see artificially low share prices if investors are discounting that cash. In this case, a buyback should lead to a higher share price, as the upward share price impact of a lower denominator is greater than the downward share price impact of a lower equity value numerator. Conversely, if shareholders view the buyback as a signal that the company’s investment prospects aren’t great (otherwise, why not pump the cash into investments?), the denominator impact will be more than offset by a lower equity value (due to lower cash AND lower perceived growth and investment prospects).

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