You are given the following information concerning three portfolios, the market portfolio, and the risk$-$free asset:

Portfolio RP $\backslash$sigma P $\backslash$beta P

X $15\mathrm{.}00\%32\mathrm{.}00\%1\mathrm{.}40$

Y $14\mathrm{.}0027\mathrm{.}001\mathrm{.}10$

Z $9\mathrm{.}0017\mathrm{.}000\mathrm{.}75$

Market $10\mathrm{.}3022\mathrm{.}001\mathrm{.}00$

Risk$-$free $4\mathrm{.}2000$

Assume that the tracking error of Portfolio X is $7\mathrm{.}40$ percent. What is the information ratio for Portfolio X$?($A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to $4$ decimal places.$)$