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Supermarket customers load their carts with goods totaling between $5 and $200 uniformly (continuously) distributed; call this the raw order amount. Assume that customers purchase independently of each other. At checkout 63% of customers have a loyalty card that gives them 4% of their raw order amount. Also at checkout, 18% of customers have coupons that give them 7% of their raw order amount. These two discounts occur independently of each other, and a given customer could have one or the other of them, both of them or neither of them, to get to their net order amount (what they actually pay). Construct a spreadsheet simulation to simulate 100 customers and collect statistics on the net order amount; these statistics should include the average, standard deviation, minimum, maximum, and a histogram to describe the distribution of the net amounts between $0 and $200. (HINT: to decided whether a customer gets a loyalty discount, explore the Excel IF function with the first argument's being a random number RAND() distributed uniformly between 0 and 1; do similarily to decide on a coupon discount.
Suppose Miles is considering investing cash on hand in a new investment that will increase the volatility of its assets by 10%. What is the minimum NPV such that this investment will increase the value of Miles’ shares?
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Please write a memo to the CEO making the case why this should be the first and arguably the most important question that is asked, and present a plan to train all of your loan officers on getting this information.
Now assume that instead of taking a position in the call option one year ago, you sold a futures contract on 1 million pounds with a settlement date of one year. Determine the total dollar amount of your profit or loss.
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