Financial analysts have estimated the returns on shares of the Woods Corporation and the overall market portfolio under two economic states

nature as follows. For Woods the state dependent returns are $-0\mathrm{.}02$ in recession, and $0\mathrm{.}04$ in an economic boom. For the market the state

dependent returns are $-0\mathrm{.}04$ in recession, and $0\mathrm{.}12$ in boom. The analyst estimates that the probability of a recession is $0\mathrm{.}50$ while the

probability of an economic boom is $0\mathrm{.}50.$

Compute the covariance between Woods and the market.

State your answer in decimal form, working your analysis using at least four decimal places of accuracy.