A European 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?

Jennifer purchased a house in a brand new development in the outskirts of town. when her house was built, the nearest fire department was nearly 20 miles away. as her neighborhood developed, the density of the community called for a new fire department 1.5 miles away. what effect will the new fire station have on her homeowners insurance premium? a. a new fire department will be more demanding on local taxes. her annual premium will go up. b. the location of a fire department has no bearing on the value of her house. her annual premium will stay the same. c. the new fire department will reduce the risk of financial loss in her home. her annual premium should decrease. d. with a fire department so close (less than 5 miles), financial risk on jennifer’s home practically disappears. she will not need to pay insurance anymore.

Thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. thomas's fastest-moving inventory item has a demand of 6,000 units per year. the cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. the average ordering cost is $30 per order. it takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (this is a corporate operation, and the are 250 working days per year.)a) what is the eoq? b) what is the average inventory if the eoq is used? c) what is the optimal number of orders per year? d) what is the optimal number of days in between any two orders? e) what is the annual cost of ordering and holding inventory? f) what is the total annual inventory cost, including cost of the 6,000 units?

Levine inc., which produces a single product, has prepared the following standard cost sheet for one unit of the product. direct materials (9 pounds at $1.80 per pound) $16.20 direct labor (6 hours at $14.00 per hour) $84.00 during the month of april, the company manufactures 270 units and incurs the following actual costs. direct materials purchased and used (2,500 pounds) $5,000 direct labor (1,660 hours) $22,908 compute the total, price, and quantity variances for materials and labor.