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True or false: on january 1, year one, the epstein corporation buys a plot of land with a four-story office building. the company believes the building is worth $1.9 million and has an estimated life of twenty years (with no anticipated residual value). the straight-line method is used. the land has an assessed value of $100,000. because the seller was interested in a quick sale, epstein was able to buy this land and building for $1.7 million. depreciation expense to be recognized in year one is $80,750.

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

Consider the following information on stocks a, b, c and their returns (in decimals) in each state: state prob. of state a b c boom 20% 0.27 0.22 0.16 good 45% 0.16 0.09 0.07 poor 25% 0.03 0 0.03 bust 10% -0.08 -0.04 -0.02 if your portfolio is invested 25% in a, 40% in b, and 35% in c, what is the standard deviation of the portfolio in percent? answer to two decimals, carry intermediate calcs. to at least four decimals.