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Case Study 2: Forecasting Lost Sales  The Kingsley Department…

Case Study 2: Forecasting Lost Sales 

The Kingsley Department Store suffered heavy damage when a hurricane struck on August 31, 2021. The store was closed for four months (Sept – Dec 2021) and Kingsley is now involved in a dispute with its insurance company concerning the amount of lost sales during the time the store was closed. Two key issues must be resolved:

The amount of sales Kingsley would have made if the hurricane had not struck; and
Whether Kingsley is entitled to any compensation for excess sales from increased business activity after the storm

More than $8 billion in federal disaster relief and insurance money came into the county, resulting in increased sales at department stores and numerous other businesses.

The table below shows the sales data for the 48 months preceding the storm. The following table reports total sales for the 48 months preceding the storm for all department stores in the county, as well as the total sales in the county for the four months the Kingsley Department Store was closed. Management asks you to analyze this data and develop estimates of the lost sales at the Kingsley Department Store for the months of September through December 2021. Management also wants to determine whether a case can be made for excess storm-related sales during the same period. If such a case can be made, Kingsley is entitled to compensation for excess sales it would have earned in addition to ordinary sales. 

Table 1 – Sales for Kingsley Department Store, Sept ’16 through Aug ’21

Month 2017 2018 2019 2020 2021
January   2.45 3.31 3.31 3.56
February   2.8 2.89 2.99 3.28
March   3.03 3.02 3.42 3.69
April   2.99 3.23 3.45 3.48
May   3.32 3.39 3.57 3.73
June   3.2 3.14 3.42 3.37
July   3.13 3.27 3.4 3.31
August   3.43 3.21 3.5 3.23
September 2.71 2.9 2.89 3.09  
October 2.9 3.13 3.29 3.54  
November 3.74 3.56 3.83 3.97  
December 5.2 5.16 5.04 5.35  

 

 

Table 2 – Department Store Sales for the County, Sept ’17 through Dec ’21

Month 2017 2018 2019 2020 2021
January   47.3 47.3 44.3 48.5
February   48.5 49.1 46.1 52.1
March   60.5 59.9 58.1 58.1
April   58.1 58.7 53.9 58.7
May   62.3 61.1 56.9 60.5
June   58.7 55.7 53.3 57.5
July   56.9 51.5 54.5 58.1
August   63.5 59.3 61.1 62.3
September 56.3 58.1 50.3 47.9 69.5
October 56.9 53.9 55.1 55.1 75.5
November 71.9 71.9 65.9 68.3 85.7
December 118.1 114.5 102.5 100.7 122.3

 

review a report for the management of the Kingsley department store that summarizes your findings, forecasts and recommendations.  Include the following:

An estimate of the sales had there been no hurricane.

Hint: Remember to graph this time series data over the 48-month period to help you determine the type of approach to use to determine the forecast sales for the final 4 months of 2021 for Kingsley department store.  Is there a trend in the data (growth or decline)? Is there seasonality in the data (this is a department store … Christmas time and beginning of school are normally big sales periods)? Is there both trend and seasonality?

An estimate of the countywide department store sales had there been no hurricane.

Hint: By comparing the forecast of county-wide department store sales with actual sales, one can determine whether or not there are excess storm-related sales.  By computing what is known as a “lift factor” – the ratio of actual sales to forecast sales – you have a measure of the magnitude of excess sales, if these do indeed exist

Your final estimate of lost sales for the Kingsley Department store for Sept – Dec 2021.