Consider the problem of pricing lookback options for a stock modeled by a geometric Brownian motion with an initial price of $100, a volatility of 40%, and zero interest rate. Let the expiry time be 12 weeks in the future (consider 52 weeks a year), and let the monitoring frequency be weekly. a) Find the fair price of both the put and call options. b) Does the put or the call have a higher price

Dakota products has a production budget as follows: may, 16,000 units; june, 19,000 units; and july, 24,000 units. each unit requires 3 pounds of raw material and 2 direct labor hours. dakota desires to keep an inventory of 10% of the next month’s requirements on hand. on may, 1 there were 4,800 pounds of raw material in inventory. direct labor hours required in may would be:

(a) what was the opportunity cost of non-gm food for many buyers before 2008? (b) why did they prefer the alternative? (c) what was the opportunity cost in 2008? (d) why did it change?

Juan's investment portfolio was valued at $125,640 at the beginning of the year. during the year, juan received $603 in interest income and $298 in dividend income. juan also sold shares of stock and realized $1,459 in capital gains. juan's portfolio is valued at $142,608 at the end of the year. all income and realized gains were reinvested. no funds were contributed or withdrawn during the year. what is the amount of income juan must declare this year for income tax purposes?