A stock index is currently 1,500. Its volatility is 18%. The risk-free rate is 4% per annum (continuously compounded) for all maturities and the dividend yield on the index is 2.5%. Calculate values for u, d, and p when a six-month time step is used. What is the value a 12-month American put option with a strike price of 1,480 given by a two-step binomial tree.

While studying for the engineering economy final exam, you and two friends find yourselves craving a fresh pizza. you can't spare the time to pick up the pizza and must have it delivered. "pick-up-sticks" offers a 1-1/4-inch-thick (including toppings), 20-inch square pizza with your choice of two toppings for $15 plus 5% sales tax and a $1.50 delivery charge (no sales tax on delivery charge). "fred's" offers the round, deep-dish sasquatch, which is 20 inches in diameter. it is 1-3/4 inches thick, includes two toppings, and costs $17.25 plus 5% sales tax and free delivery. 1. what is the problem in this situation? state it in an explicit and precise manner. 2. systematically apply the seven principles of engineering economy (pp. 3-6) to the problem you have defined in part (a). 3. assuming that your common unit of measure is dollars (i. e., cost), what is the better value for getting a pizza based on the criterion of minimizing cost per unit of volume? 4. what other criteria might be used to select which pizza to purchase?

It is estimated that over 100,000 students will apply to the top 30 m. b.a. programs in the united states this year. a. using the concept of net present value and opportunity cost, when is it rational for an individual to pursue an m. b.a. degree. b. what would you expect to happen to the number of applicants if the starting salaries of managers with m. b.a. degrees remained constant but salaries of managers without such degrees decreased by 20 percent

Quick computing currently sells 12 million computer chips each year at a price of $19 per chip. it is about to introduce a new chip, and it forecasts annual sales of 22 million of these improved chips at a price of $24 each. however, demand for the old chip will decrease, and sales of the old chip are expected to fall to 6 million per year. the old chips cost $10 each to manufacture, and the new ones will cost $14 each. what is the proper cash flow to use to evaluate the present value of the introduction of the new chip? (enter your answer in millions.)