Reference no: EM132309846 , Length: 4 pages
Many businesses have fixed expenditures, like rent, power bills, wages, supply cost, and somewhat random income flow that depends a number of customers/sales for any given period of time. So, even a very good organisation might become a bankrupt if it has an "unlucky" period and no savings to cover a shortfall between expenses and incomes.
Your task is to analyse daily operation of our supermarket and identify its risks at 5% level. Prepare a brief report for the following questions:
1. What are average total sales/turnover per day. For this report, we are interested in dollar value only. We will assume that supermarket profits are proportional to its turnover.
2. What is a "worst case" scenario with 5% probability. Get an estimation from the empirical (observed) data. Then fit an appropriate distribution in to sales data and estimate 5% tale for that distribution.
3. Sales are generated by customers; hence you should try to solve the same problem through modelling customers arrivals, that is, a number of shopping trips. Estimate a model (distribution) for a number of shopping trips per day.
As you don't do analysis on the customer level, you don't need customers ID and you don't worry about "generic" cards. You group data by Receipt ID and date/time, to get a unique shopping trip.
4. Use bootstrapping approach to model sales per day. That is, generate the number of shopping trips for Day 1 according to the estimated distribution above - X shopping trips. Then sample at random sales for X shopping trips from the empirical distribution of observed shopping trips. Summation will give you a total "possible" sales forDay 1.
5. Repeat generating number of shopping trips per day and random sampling for a significant period of time, say for 10-20 years and analyse resulted distribution of total sales and in particular 5% probability worst case scenario.
6. Compare and discuss results from questions 2 and 5.
7. Provide one paragraph discussion on possible shortcomings of the bootstrapping procedure presented in question 4.