In: Economics
A real estate investor buys two properties. Monthly net income from the first property (an apartment building) is $1,000 times the number of apartments that are rented out, minus $1,800 in property taxes and maintenance expenses. The number of apartments that are rented out is a random variable, X, with mean 20 and standard deviation 3. Monthly net income from the second property (a parking lot) is ninety percent of revenue (the management company takes the other ten percent), minus $1,200 in property taxes and maintenance. Revenue is a random variable, Y, with mean $20,000 and standard deviation $200. The correlation between the number of apartments rented out (X) and revenue from the parking lot (Y) is 0.4.
a. Calculate the real estate investor’s expected monthly net income from these two properties:
b. Compute the covariance from the correlation:
c. Calculate the variance of monthly net income from these two properties