Advertisers are often given a budget to spend for the month with the goal of maximizing revenues for the budget. The question is: What is the best way to spend over the month? Should one,
(a) Spend varying amounts over the month, frequently adjusting the budget for the day, or
(b) Spend the same amount everyday while accounting for day of the week effects
The answer almost always is (b). Barring dramatic changes in the marketplace, it is always best to try and spend to an average daily target for the entire month. The reason has more to do with the basic mathematics of the law of diminishing returns than with any sophisticated marketing strategy.
Consider the following example. You have $3000 to spend over three days. Being a smart advertiser, you have predictive modeling based automotive bidding technology at hand. As a result, you have built an efficient frontier as shown below.
A simple strategy of spending $1000 daily would return $3,975 in revenue everyday for an ROI of 398%. However, if we were to spend $500 on the first day, then $1000 and $1500 on the third day (to make up the $500 spending shortfall on the first day) you would only get a 389% ROI. The numbers are shown in Figure 2.
Why? Due to the law of diminishing returns, the incremental ROI always decreases the more you spend. In figure (1), for a $500 increase in spend from $500 to $1000, one gets only $1,352 in revenue, but for a further $500 increase in spend from $1,000 to $1,500, one gets only $1,095 in revenue. Hence, if we spend less than the $1,000 daily target we cannot completely make up for the lost revenue by increasing spend to $1500 for a day. The incremental revenue always diminishes with incremental spend. Therefore, the simple strategy of maintaining a stable daily spend wins.
Things to keep in mind: The analysis above assumes that the efficient frontier is stable. While this is generally true, the efficient frontier usually shifts on the weekends, hence budgets should be adjusted for the weekends. Budgets should also be adjusted for short term seasonality such as promotions and sales as the efficient frontier shifts dramatically in these times.
~ by Dr. Siddharth Shah