Question
Gecko Insurance is planning to offer a new type of combined auto and renters insurance product. Their chief statistician, Albert Gorithm, estimated the parameters of
Gecko Insurance is planning to offer a new type of combined auto and renters insurance product. Their chief statistician, Albert Gorithm, estimated the parameters of Basss diffusion model for two potential markets. The results follow:
Market 1: St = 2650 +.057Yt-1 -.00022Y^2t-1
Market 2: St=14380 -.036Yt-1 - .00065Y^2t-1
Remember that the general equation for sales in any time period t is:
St=p0m+(q-p0(Y-1 - (q/m)Y^2t-1
Where S (t) = sales (000s) in period t; p = coefficient of innovation; q = coefficient of imitation; m= sales potential or saturation level; Yt-1= total people who have ever bought (cumulative sales) by end of period t-1
- Without doing any calculations, which market would you guess had the higher sales potential m? Briefly explain your answer.
- Draw the shape of the predicted sales curve for each market and explain your answer in each case. Show the starting sales level (period 1) and draw the shape carefully.
- What diffusion effect is driving sales in market 1? What is driving sales in market 2? (Hint: It is either the innovation effect p or the imitation effect q). Explain your answer.
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