Aeuropean call option and put option on a stock both have a strike price of $20 and an expiration date in three months. both sell for $3. the risk-free interest rate is 10% per annum, the current stock price is $19, and a $1 dividend is expected in one month. is there an arbitrage opportunity? if there is an arbitrage opportunity, clearly state what condition must be satisfied to eliminate the arbitrage opportunity. what is the strategy followed to make a profit from the arbitrage opportunity? what is the profit expressed as a present value?

In each of the cases below, assume division x has a product that can be sold either to outside customers or to division y of the same company for use in its production process. the managers of the divisions are evaluated based on their divisional profits. case a b division x: capacity in units 200,000 200,000 number of units being sold to outside customers 200,000 160,000 selling price per unit to outside customers $ 90 $ 75 variable costs per unit $ 70 $ 60 fixed costs per unit (based on capacity) $ 13 $ 8 division y: number of units needed for production 40,000 40,000 purchase price per unit now being paid to an outside supplier $ 86 $ 74 required: 1. refer to the data in case a above. assume in this case that $3 per unit in variable selling costs can be avoided on intracompany sales. a. what is the lowest acceptable transfer price from the perspective of the selling division? b. what is the highest acceptable transfer price from the perspective of the buying division? c. what is the range of acceptable transfer prices (if any) between the two divisions? if the managers are free to negotiate and make decisions on their own, will a transfer probably take place?