The return on the Rush Corporation in the state of recession is estimated to be -22% and the return on Rush in the state of boom is estimated to be 31%. The return on the Oberman Corporation in the state of recession is estimated to be 42% and the return on Oberman in the state of boom is estimated to be -15%. Given this information, what is the covariance between Rush and Oberman if there is a 0. 60 probability that the economy will be in the state of boom and an 0. 40 probability that the economy will be in the state of recession. Place your answer in decimal form and not as a percentage

Respuesta :

Based on the return on Rush Corporation at different phases of the economy, and that of the Oberman Corporation, the covariance between both companies is -0.079.

What is the covariance between Rush and Oberman Corporation?

First find the returns on both companies:

Rush Corporation:

= (0.60 x -22%) + (0.4 x 31%)

= 0.4%

Oberman Corporation:

=  (0.60 x 42%) + (0.4 x -15%)

= 19.2%

The Covariance is:

=  0.6 x (-0.22 - 0.004)  x (0.42 x 0.192) + 0.4 x (0.31 - 0.004) x (-0.22 – 0.1780)

= -0.079

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