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9/17/15 We have said that Introduc/on to the Rates of Return on Marke/ng Investments Ted Mitchell The quadratic equation which describes the
relationship between the financial gain, Z,
and a Marketing Investment, I
Marketing Profit, Z
Z = aI –bI2
0, 0
Amount of Seller’s Investment, I
•  The marke/ng profit equa/on describes how marke/ng profit is a func/on of the size of the marke/ng investment and the rate at which the investment generates the profit. •  The rate of return is oEen called the ROMI or MROI •  MROI, Marke/ng Return on Investment •  ROMI, Return on Marke/ng Investment •  However the terms MROI and ROMI are Very Very ambiguous One of the controversies/debates •  Raised Last Class was •  2) Can the profits being returned on marketing
expenses be called a legitimate ‘Return on
Investment, ROI, or interest rate?
•  Do Marketing rates of return behave like a normal
financial interest rates or normal rates of return on
investment?
•  Short answer is NO!
•  Rates of return on marketing Investments behave
differently from conventional financial rates of
return. Market research provides the es/mates for a and b Marke/ng rates of return •  Come in two different flavors with different
values and different applications
•  1) Average Rate at which profit is being
Returned on the investment
AROR = a – bI
•  2) Marginal Rate at which profit is being
Returned on the Investment
MROR = a -2bI
Financial rates of return also •  Come in two flavors but both flavors have the
same constant value
Financial profit from an investment, Z, is a direct
function of the size of the investment
•  Financial Profit, Z =
(constant rate, i) x (Investment size, I)
•  Average rate of return = (ROI, i) x I
Marginal rate of return = ( interest rate, i) x I
•  Since they both have the same value most don’t
care that they are derived differently
1 9/17/15 AROR and MROR have different values •  And constructs in marketing investments
•  A single observed point of performance (I, Z)
with a marketing investment of size, I, and an
amount of generated profit, Z,
•  The Average Rate of Return can be a positive
value and the Marginal Rate Of Return can
have a negative value at the same point
MROR = the rate
of return for the
last dollar invested
at the point (I, Z)
Slope of the line,
(total Z)/(total I) at the Point
(I, Z) is the AROR
Profit, Z Z
+ I
An equa/on is need to calculate •  The Average Rate Of Return at any point on
the marketing profit function is written as
•  AROR = a – bI
•  Remember values ‘a’ and ‘b’ have been
provided by market research
AROR = Z/I
AROR = $420/$2,000 = 21%
AROR = a – bI = 21%
Profit, Z $420
+ $2,000
Observed
Point
(I, Z)
Observed
Point
(I, Z)
Investment, I
Example of Calcula/ng AROR •  The value of a = 0.61 and b = 0.0002
•  The firm is currently investing $2,000 in a
marketing effort every week.
•  What is the average rate of return on that $2,000
investment
•  Answer
•  AROR = a – bI
•  AROR = 0.61 – 0.0002(2,000) = 0.61 – 0.40
•  AROR = 0.21 or 21% average rate of return
An different equa/on is needed to calculate •  The Marginal Rate Of Return at any point on
the marketing profit function is written as
•  MROR = a – 2bI
•  Remember values ‘a’ and ‘b’ have been
provided by market research
Investment, I
2 9/17/15 MROR = a – 2bI
MROR = 0.61 – 2(0.0002)($2,000)
MROR = –0.19 or – 19%
Example of calcula/ng MROR •  The value of a = 0.61 and b = 0.0002
•  The firm is currently investing $2,000 in a
marketing effort every week.
•  What is the marginal rate of return on that $2,000
investment
•  Answer
•  MROR = a – 2bI
•  MROR = 0.61 – (2)0.0002(2,000) = 0.61 – 0.80
•  MROR = –0.19 or a minus19% marginal rate of
return ( you lost 19% of the last dollar invested)
Profit, Z $420
+ $2,000
Observed Point
($2,000, $420)
Investment, I
For the Midterm In the coming weeks •  You must be able to calculate both types of
returns on a marketing investment, ROMI
•  AROR = a – bI
•  MROR = a – 2bI
•  Where market research gives you the values of
the constants ‘a’ and ‘b’
•  We will talk about how the rates of return are derived and how they are used to analyze results and make decisions 3 
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