You want to use the binomial tree analysis to value a 2-year american put option with an $80 strike price on crabbe and goyle corporation. the shares are currently trading for $110. the annualized continuously compounded risk-free rate is 5%. the volatility of the stock is 64%. you will use the cox ross rubenstein method for computing the binomial tree (see slide 32 of the ch. 13 notes for details). draw the binomial tree and find the value of the option using a time step of 6 months (n=4).

Ajustification for job training programs is that they improve worker productivity. suppose that you are asked to evaluate whether more job training makes workers more productive. however, rather than having data on individual workers, you have access to data on manufacturing firms in ohio. in particu- lar, for each firm, you have information on hours of job training per worker (training) and number of nondefective items produced per worker hour (output). (i) carefully state the ceteris paribus thought experiment underlying this policy question. (ii) does it seem likely that a firm’s decision to train its workers will be independent of worker characteristics? what are some of those measurable and unmeasurable worker characteristics? (iii) name a factor other than worker characteristics that can affect worker productivity. (iv) if you find a positive correlation between output and training, would you have convincingly established that job training makes workers more productive? explain.

Yael decides that she no longer enjoys her job, and she quits to open a gluten-free, dairy-free kosher bakery. she pays a monthly rent for her store of $2,000. her labor costs for one month are $4,500, and she spends $6,000 a month on nut flours, sugar, and other supplies. yael was earning $2,500 a month working as a bank teller. these are her only costs. her monthly revenue is $14,000. which of the following statements about yael’s costs and profit are correct? correct answer(s) an accountant would say she is earning a monthly profit of $1,500. her implicit costs are $2,500 a month. an economist would tell her that she is experiencing a loss. her total costs are $12,500 a month. her explicit costs include the labor, rent, and supplies for her store. her economic profit is $1,500 a month.

In each of the following cases, find the unknown variable. ignore taxes. (do not round intermediate calculations and round your answers to the nearest whole number, e.g., 32.) accounting unit price unit variable cost fixed costs depreciation break-even 20,500 $ 44 $ 24 $ 275,000 $ 133,500 44 4,400,000 940,000 8,000 75 320,000 80,000