An analyst who believes in the Treynor $-$ Black Model has identified one active stock, stock A$,$

which he$/$she wants to combine with the passive Market Index M to form their firm's optimal risky

portfolio. A regression of the excess returns of stock A on the excess returns of the market index M$,$

have discovered that stock A$\text{'}$s alpha is $4\%,$ its beta is $2\mathrm{.}0,$ and the residual standard deviation of the

error term for stock A is $18\%.$ The standard deviation for the market index M is $14\%,$ the expected

return on M is $11\%,$ the risk$-$free rate of return is $3\%,$ and the expected return on stock A is $22\%.$

Use this information to answer questions $10$ through $12$:

What is active stock A$\text{'}$s information ratio? Please calculate the information ratio as a decimal not a percentage. Enter your answer rounded to two decimal places. For example, if your answer is $12\mathrm{.}345$ then enter as $12\mathrm{.}35$ in the answer box.