. You have determined that Company A's shares have an intrinsic value of $20 per share but are trading at $22 per share, while Company B's shares are worth $25 per share but are trading at $22 per share. What would a rational investor (or an arbitrageur) do to take advantage of this price difference (no short-selling constraint and transaction fee)

a rational investor would short company A's shares and long company B's shares.

Explanation:

Company A's shares are overvalued.

A share is overvalued when its intrinsic value is less than its price

Company B's shares are undervalued.

A share is undervalued when its intrinsic value is greater than its price

It is expected that the price of company's A's share would fall. Investors that are holding this company's share would lose.

On the other hand, it is expected the the price of company B's shares would rise. Investors holding this company's share would gain from the increase in price.

Thus, a rational investor would short short company A's shares and long company B's shares.

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