Suppose that Pizza King and Noble Greek stopadvertising but must determine the price they will chargefor each pizza sold. Pizza King believes that Noble Greek’sprice is a random variable D having the following massfunction: P(D $6) .25, P(D $8) .50, P(D $10) .25. If Pizza King charges a price p1 and NobleGreek charges a price p2, Pizza King will sell 10025( p2 p1) pizzas. It costs Pizza King $4 to make a pizza.Pizza King is considering charging $5, $6, $7, $8, or $9 fora pizza. Use each decision criterion of this section todetermine the price that Pizza King should charge.

Give typed answer only

Stocks with high market betas have higher expected returns than stocks with low market betas. This evidence is inconsistent withI.    The weak form efficient market hypothesisII.    The semi-strong form efficient market hypothesisIII.    The strong form efficient market hypothesis a) I, II, and III b) I and II c) I d) None of I, II, and III

Consider a toy retailer with warehouses in St. Louis and Kansas City, Missouri. The warehouses stock an identical popular toy delivered to stores in the two cities. Assume a warehouse serves only stores in its city. Weekly demand for St. Louis is normally distributed with mean 2,000, and standard deviation 400 (that is N(μ = 2,000, σ = 400)). Weekly demand for KansasCity is distributed N(μ = 2,000, σ = 300). We assume that the two cities are far enough apart so that demand in the two cities is independent.The following parameters are seen by both warehouses:Replenishment lead time in weeks ~ N(μ = 2, σ = 0.1);Fixed shipping cost of replenishment: $500;Cost per toy: $10; andHolding cost per toy 20 percent of toy’s value per year.How many toys should each location order at a time and when should they reorder if they want a 99 percent cycle service level? What if they pool the two locations?

Good Shoes Company manufactures ski boots for children each pair of which costs $40 to manufacture. Good Shoes sells the boots to a well-known sports goods retailer and the retailer sells each pair for $100. Any boots not sold (by the retailer) during the season are sold to a discount retailer for $20 a pair. Demand during the season is assumed to have a Normal distribution with a mean of 850 and a standard deviation of 350. What should the manufacturer charge the retailer per pair to maximize its expected profits? Assume that Good Shoes will consider a price from the following set: (60,65,70,75,80,85 90,95), i.e., The manufacturer's price will be either $60, or $65 or $70, or ......,,$95).

Munabhai

Clips, a competitor of Staples, is a national chain that provides office supplies to small businesses. Maya, who is the store manager at the Bethesda store, is also responsible for the store’s replenishment functions. Maya is interested in establishing a standard replenishment policy for some of her steady, non-seasonal products of which paperclips is one. Paperclips sell in small boxes that contain two hundred units. Maya estimates that Clips Bethesda sells 100 boxes of paperclips in a typical week and that the purchase price for Clips per box of paperclips is $2.00. The fixed ordering cost any time an order is placed is $20. Maya also estimates a nominal holding cost of $0.10 per box per week. (a) What is the optimal order quantity for paperclips at their Bethesda store?(b) Assuming 50 weeks in a year, how many times a year should the paperclips be ordered?

D3)

Consider the case where the left tail of the implied distribution is thinner than that of the log-normal distribution and the right tail of the implied distribution is fatter than that of the log-normal distribution with the same mean and standard deviation. Which of the following statements is correct?     A) The implied volatility of a deep out-of-the money put is greater than the one obtained from the Black-Scholes price.     B) The implied volatility decreases as the strike price increases.     C) The implied volatility of a deep out-of-the money call is smaller than the one obtained from the Black-Scholes price.     D) The implied volatility increases as the strike price increases. Please explain and justify your choice. In your answer, discuss the shape of the relation of implied volatility to the strike price and explain how this is obtained.

Which of the following statements is correct for the Black-Scholes model?     A) The price of an American call written on a stock is: c = SN(d1)-Ke-rTN(d2)     B) The stock price at a future point in time follows a log-normal distribution.     C) The continuously compounded return on the stock follows a log-normal distribution.     D) Black-Scholes prices may allow for arbitrage opportunities. Please explain and justify your choice.