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Value-in-Use Pricing
Break-Even Model
Internal Rate of Return Model
Ana Maria Castrillon, Elisabetta Cibò, Jeannine Luna, Nathaniel Bergson-Michelson
July 12, 2014
SF Performances & Lectures
Program
Season Pass Evaluation
Background
● The SF Performances & Lectures program, offered
by one of the Bay Area’s premiere cultural centers,
features a season of more than 100 events with
world-class speakers and artists.
● Individual tickets typically range in price from $20 – 25.
● The current subscription model offers discounts to
patrons who buy tickets to five or more shows.
SF
PERFORMANCES
&
LECTURES
Background
SFPL is considering a new product—an annual, unlimited
season pass that would replace subscriptions.
● Easier for regular patrons to use
● Gives patrons a sense of belonging
● Makes attendance more predictable
● Full shows create a perception of value
● Clear point of competitive differentiation
● Encourages donations and sponsorships
Background
For this to succeed, we need to ascertain that we can:
● Offer the season pass at a suitable price
● Demonstrate value to the customer
● See quick positive returns on the initial
investment
● Improve cash flow
$ ?
ROI+ in < 1 year?
Season Pass
Subscriptions
$0
$20
$40
$60
$80
$100
$120
$140
$160
$180
Thousands
1. What does the market tell us about pricing a season pass?
2. How big is our target segment for season passes?
3. What range of prices would compare in value to the event tickets that
the pass replaces?
4. At what prices will we recover the costs of creating our season pass?
5. What is the internal rate of return on the initial investment?
Goal: Recommend a price point to the
CFO
Question 1: What does the market
tell us about pricing a season pass?
Assess the competitive landscape to see what comparable
organizations charge for season passes.
Identify organizations offering comparable product lines
Determine the price they charge for comparable products.
Assess how this price compares to the value of benefits
offered.
Internet, Excel
Comparable Memberships, Passes,
Subscriptions
Comparable cultural arts organizations with memberships, season passes, or
subscriptions.
A.C.T.
Cal
Performances
Bay Area Children's
Theatre
YBCA
California Academy
of Sciences
De Young, SFMOMA,
Asian Art Museum
Seattle
Arts & Lectures
$0
$100
$200
$300
$400
$500
$600
$700
$800
$0 $100 $200 $300 $400 $500 $600
Value of Benefits
Price of Membership
Comparable Memberships/Subscriptions
Source: Arts & culture organizaion
websites.
Comparable Memberships, Passes,
Subscriptions
Organizations offering a full range of lectures and performances like the SFPL
had memberships or passes valued in the $400 – 600 range.
A.C.T.
Cal
Performances
Bay Area Children's
Theatre
YBCA
California Academy
of Sciences
De Young, SFMOMA,
Asian Art Museum
Seattle
Arts & Lectures
$0
$100
$200
$300
$400
$500
$600
$700
$800
$0 $100 $200 $300 $400 $500 $600
Value of Benefits
Price of Membership
Comparable Memberships/Subscriptions
Full arts &
lectures
programs
$400 - 600
Museums
&
children's
theatre
$65 - 110
Source: Arts & culture organizaion
websites.
Comparable Memberships, Passes,
Subscriptions
The value of benefits offered is around 29% greater than the cost of the
membership.
A.C.T.
Cal
Performances
Bay Area Children's
Theatre
YBCA
California Academy
of Sciences
De Young, SFMOMA,
Asian Art Museum
Seattle
Arts & Lectures
y = 1.2934x
$0
$100
$200
$300
$400
$500
$600
$700
$800
$0 $100 $200 $300 $400 $500 $600
Value of Benefits
Price of Membership
Comparable Memberships/Subscriptions
Source: Arts & culture organizaion
websites.
Question 2: How big is our target
segment for season passes?
Use historical data to identify the target segment
within the existing customer base.
Identify subscribers (multiple ticket buyers) as the target segment.
Use historical data on subscribers to extrapolate the number and value of
tickets purchased by subscribers at different spending levels.
Use historical data on ticket sales to estimate how sales will grow over a
three year period.
Excel, Weighted Averages, CAGR
2013 – 2014 Subscriber Data
Subscribers are the most qualified and likeliest to be interested in a
season pass because they already go to 5 or more events per year.
These 800 subscriber households comprise 1,440 individual subscribers.
Source: SFPL historical data, 2013 – 14
season.
# events/season attended
by subscriber households
Subscriber
Households
5 300
6 150
7 100
8 70
9 46
10 or more 134
800 subscriber households
1,440 / 800 = 1.8 subscribers/HH
y = 41407x-3.092
0
50
100
150
200
250
300
350
0 5 10 15
Extrapolate # of Events and Value of
Tickets Purchased by Subscribers
Power Curve
Helps us extrapolate # events attended by
highest-value subscribers (≥ 10 events)
# events/season Subscribers Spend/subscriber
5 515 $119.50
6 293 $143.40
7 182 $167.30
8 121 $191.20
9 84 $215.10
10 61 $239.00
11 45 $262.90
12 35 $286.80
13 27 $310.70
14 22 $334.60
15 18 $358.50
16 15 $382.40
17 12 $406.30
18 10 $430.20
19 9 $454.10
20 8 $478.00
Weighted avg. # events
attended by subscribers:
7.4
WEIGHTED
AVERAGE
$176.86
Estimated # events attended and
spending per individual subscriber
x 1.8 subscribers
per household =
Source: SFPL historical data, 2013 – 14
season.
Growth
Historical data on all tickets sold gives us an overall growth rate.
We expect subscription sales – and the target segment of possible season
pass buyers – to grow at about the same rate of ~ 9%/year.
Source: SFPL historical data, 2009-10 through
2013-14.
Year Total tickets sold
2009-10 20,000
2010-11 20,800
2011-12 24,600
2012-13 21,750
2013-14 28,325
AVERAGE 23,095
CAGR 9.09%
Question 3: What range of prices would
compare in value to the event tickets that
the pass replaces?
Identify the price that target customers would consider
comparable to the value of their individual event tickets
Survey customers to determine # of events currently attend
and # they would attend with an unlimited pass.
Compute the value of one season pass that replaces what
these customers currently spend on tickets.
Compute the value of one season pass that replaces the cost
of tickets to all events they would attend with a season pass
Survey, Excel, Value-in-Use Pricing Model
Survey Data
A test survey asked some of the most regular subscribers:
How many SFPL
events
do you attend each
year?
13
How many would
you attend with
an unlimited
pass?
27
What would you
pay for an
unlimited season
pass?
$489
( ≈$311 )
( ≈$645
)
Value-in-Use Pricing
Determine possible price range with VIU pricing model
Variable Existing # events / year
(average, all subscribers)
# events/year people would
attend with unlimited pass
(from survey)
Existing average ticket price $23.90 $23.90
Existing tickets needed/year 7.4 27
Season passes needed/year 1 1
Season pass VIU $176.86 $645.00
Current VIU ≈ $180. VIU for full use of pass ≈ $650.
Question 4: At what prices will we recover
the costs of creating our season pass?
Make sure a price exists (within the VIU range) at which the
cost of creating and distributing the season pass will be
recovered.
Begin with the range of prices from the VIU model.
Identify the fixed and variable costs of the product.
Calculate the number of units that must be sold to recover
costs.
Calculate the time required to recover costs.
Excel, Break-Even Model
Break-Even Model
Fixed Costs:
Software module
$15,000
+ Marketing launch
$5,000
$20,000
Variable Cost 2:
Lost sales of individual
tickets to each pass buyer
Average
$176.86
Variable Cost 1:
Season pass card
+ Mailing cost
$1.25/unit
Break-Even Model
Fixed Costs:
Software module
$15,000
+ Marketing launch
$5,000
$20,000
Variable Cost 2:
Lost sales of individual
tickets to each pass buyer
Average
$176.86
Variable Cost 1:
Season pass card
+ Mailing cost
$1.25/unit


The least number of units required to
break even occurs at $450, but the least
time required occurs at $300.
 We find#yearstobreak-evenbydividing
break-evenunitsbyforecastunitsales/year.
Fixed Cost Variable Cost 1 Variable Cost 2
$20,000 $1.25 $176.86
Possible PricesForecast Units Unit Cost
Break-even
(units)
Break-even (#
years)
$180 1,457  $191.84 -1,690 -1.16
$200 942  $199.34 30,368 32.24
$250 649  $208.93 487 0.75
$300 467  $220.94 253 0.54
$330 346  $235.91 213 0.61
$360 262  $254.45 189 0.72
$400 201  $277.61 163 0.81
$450 156  $306.32 139 0.89
$500 94  $390.88 183 1.95
$600 54  $548.48 388 7.19
$650 24  $1,011.44 -55 -2.31
Break-Even Model
Fixed Costs:
Software module
$15,000
+ Marketing launch
$5,000
$20,000
Variable Cost 2:
Lost sales of individual
tickets to each pass buyer
Average
$176.86
Variable Cost 1:
Season pass card
+ Mailing cost
$1.25/unit
Question 5: What is the internal rate
of return on the initial investment?
Determine the IRR over three years at the selected price.
Begin with the selected price.
Identify the initial investment and the estimated cash flows over three
years at this price.
Use the IRR model to calculate the rate of return on the initial investment.
Excel, Internal Rate of Investment Model
Initial
Investment
Cash Flow
(Year 1)
Cash Flow
(Year 2)
Cash Flow
(Year 3) IRR
$140,100 $152,709 $166,453
-$82,594 -$90,027 -$98,129
-$20,000 $57,506 $62,682 $68,323 290%
IRR
Having used break-even to select a price of $300, we use IRR to
evaluate the internal rate of return over three years of sales.
Growth in sales quantity = 9%, price constant at $300.

Positive cash flow from
season pass sales

Minus offsetting loss in
individual ticket sales
1. Competitive landscape: $400 – 600
2. Survey data: $250 – 750 (mean $489)
3. Value-in-Use: $180 – 650
4. Fastest Break-Even: $300
Recommended Price: $300
Recommended Price Based on Models
Recommended Price: $300
Recommended Price Based on Models
Have we met our goals?
1. Price recommendation? $300
2. Value to the customer? $489 value > $300
3. Positive return? Break-even in 6.5 months
IRR = 290%
4. Improved cash flow Cash flow up by $57K
Recommended Price: $300
Recommended Price Based on Models
We recommend introducing a season pass at $300. We expect to see:
1. High IRR
2. Fuller audiences
3. Greater donations
4. Increased excitement and
individual ticket sales
IRR
!!!

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SF Performances & Lectures Season Pass Pricing Analysis

  • 1. Value-in-Use Pricing Break-Even Model Internal Rate of Return Model Ana Maria Castrillon, Elisabetta Cibò, Jeannine Luna, Nathaniel Bergson-Michelson July 12, 2014 SF Performances & Lectures Program Season Pass Evaluation
  • 2. Background ● The SF Performances & Lectures program, offered by one of the Bay Area’s premiere cultural centers, features a season of more than 100 events with world-class speakers and artists. ● Individual tickets typically range in price from $20 – 25. ● The current subscription model offers discounts to patrons who buy tickets to five or more shows. SF PERFORMANCES & LECTURES
  • 3. Background SFPL is considering a new product—an annual, unlimited season pass that would replace subscriptions. ● Easier for regular patrons to use ● Gives patrons a sense of belonging ● Makes attendance more predictable ● Full shows create a perception of value ● Clear point of competitive differentiation ● Encourages donations and sponsorships
  • 4. Background For this to succeed, we need to ascertain that we can: ● Offer the season pass at a suitable price ● Demonstrate value to the customer ● See quick positive returns on the initial investment ● Improve cash flow $ ? ROI+ in < 1 year? Season Pass Subscriptions $0 $20 $40 $60 $80 $100 $120 $140 $160 $180 Thousands
  • 5. 1. What does the market tell us about pricing a season pass? 2. How big is our target segment for season passes? 3. What range of prices would compare in value to the event tickets that the pass replaces? 4. At what prices will we recover the costs of creating our season pass? 5. What is the internal rate of return on the initial investment? Goal: Recommend a price point to the CFO
  • 6. Question 1: What does the market tell us about pricing a season pass? Assess the competitive landscape to see what comparable organizations charge for season passes. Identify organizations offering comparable product lines Determine the price they charge for comparable products. Assess how this price compares to the value of benefits offered. Internet, Excel
  • 7. Comparable Memberships, Passes, Subscriptions Comparable cultural arts organizations with memberships, season passes, or subscriptions. A.C.T. Cal Performances Bay Area Children's Theatre YBCA California Academy of Sciences De Young, SFMOMA, Asian Art Museum Seattle Arts & Lectures $0 $100 $200 $300 $400 $500 $600 $700 $800 $0 $100 $200 $300 $400 $500 $600 Value of Benefits Price of Membership Comparable Memberships/Subscriptions Source: Arts & culture organizaion websites.
  • 8. Comparable Memberships, Passes, Subscriptions Organizations offering a full range of lectures and performances like the SFPL had memberships or passes valued in the $400 – 600 range. A.C.T. Cal Performances Bay Area Children's Theatre YBCA California Academy of Sciences De Young, SFMOMA, Asian Art Museum Seattle Arts & Lectures $0 $100 $200 $300 $400 $500 $600 $700 $800 $0 $100 $200 $300 $400 $500 $600 Value of Benefits Price of Membership Comparable Memberships/Subscriptions Full arts & lectures programs $400 - 600 Museums & children's theatre $65 - 110 Source: Arts & culture organizaion websites.
  • 9. Comparable Memberships, Passes, Subscriptions The value of benefits offered is around 29% greater than the cost of the membership. A.C.T. Cal Performances Bay Area Children's Theatre YBCA California Academy of Sciences De Young, SFMOMA, Asian Art Museum Seattle Arts & Lectures y = 1.2934x $0 $100 $200 $300 $400 $500 $600 $700 $800 $0 $100 $200 $300 $400 $500 $600 Value of Benefits Price of Membership Comparable Memberships/Subscriptions Source: Arts & culture organizaion websites.
  • 10. Question 2: How big is our target segment for season passes? Use historical data to identify the target segment within the existing customer base. Identify subscribers (multiple ticket buyers) as the target segment. Use historical data on subscribers to extrapolate the number and value of tickets purchased by subscribers at different spending levels. Use historical data on ticket sales to estimate how sales will grow over a three year period. Excel, Weighted Averages, CAGR
  • 11. 2013 – 2014 Subscriber Data Subscribers are the most qualified and likeliest to be interested in a season pass because they already go to 5 or more events per year. These 800 subscriber households comprise 1,440 individual subscribers. Source: SFPL historical data, 2013 – 14 season. # events/season attended by subscriber households Subscriber Households 5 300 6 150 7 100 8 70 9 46 10 or more 134 800 subscriber households 1,440 / 800 = 1.8 subscribers/HH
  • 12. y = 41407x-3.092 0 50 100 150 200 250 300 350 0 5 10 15 Extrapolate # of Events and Value of Tickets Purchased by Subscribers Power Curve Helps us extrapolate # events attended by highest-value subscribers (≥ 10 events) # events/season Subscribers Spend/subscriber 5 515 $119.50 6 293 $143.40 7 182 $167.30 8 121 $191.20 9 84 $215.10 10 61 $239.00 11 45 $262.90 12 35 $286.80 13 27 $310.70 14 22 $334.60 15 18 $358.50 16 15 $382.40 17 12 $406.30 18 10 $430.20 19 9 $454.10 20 8 $478.00 Weighted avg. # events attended by subscribers: 7.4 WEIGHTED AVERAGE $176.86 Estimated # events attended and spending per individual subscriber x 1.8 subscribers per household = Source: SFPL historical data, 2013 – 14 season.
  • 13. Growth Historical data on all tickets sold gives us an overall growth rate. We expect subscription sales – and the target segment of possible season pass buyers – to grow at about the same rate of ~ 9%/year. Source: SFPL historical data, 2009-10 through 2013-14. Year Total tickets sold 2009-10 20,000 2010-11 20,800 2011-12 24,600 2012-13 21,750 2013-14 28,325 AVERAGE 23,095 CAGR 9.09%
  • 14. Question 3: What range of prices would compare in value to the event tickets that the pass replaces? Identify the price that target customers would consider comparable to the value of their individual event tickets Survey customers to determine # of events currently attend and # they would attend with an unlimited pass. Compute the value of one season pass that replaces what these customers currently spend on tickets. Compute the value of one season pass that replaces the cost of tickets to all events they would attend with a season pass Survey, Excel, Value-in-Use Pricing Model
  • 15. Survey Data A test survey asked some of the most regular subscribers: How many SFPL events do you attend each year? 13 How many would you attend with an unlimited pass? 27 What would you pay for an unlimited season pass? $489 ( ≈$311 ) ( ≈$645 )
  • 16. Value-in-Use Pricing Determine possible price range with VIU pricing model Variable Existing # events / year (average, all subscribers) # events/year people would attend with unlimited pass (from survey) Existing average ticket price $23.90 $23.90 Existing tickets needed/year 7.4 27 Season passes needed/year 1 1 Season pass VIU $176.86 $645.00 Current VIU ≈ $180. VIU for full use of pass ≈ $650.
  • 17. Question 4: At what prices will we recover the costs of creating our season pass? Make sure a price exists (within the VIU range) at which the cost of creating and distributing the season pass will be recovered. Begin with the range of prices from the VIU model. Identify the fixed and variable costs of the product. Calculate the number of units that must be sold to recover costs. Calculate the time required to recover costs. Excel, Break-Even Model
  • 18. Break-Even Model Fixed Costs: Software module $15,000 + Marketing launch $5,000 $20,000 Variable Cost 2: Lost sales of individual tickets to each pass buyer Average $176.86 Variable Cost 1: Season pass card + Mailing cost $1.25/unit
  • 19. Break-Even Model Fixed Costs: Software module $15,000 + Marketing launch $5,000 $20,000 Variable Cost 2: Lost sales of individual tickets to each pass buyer Average $176.86 Variable Cost 1: Season pass card + Mailing cost $1.25/unit
  • 20.   The least number of units required to break even occurs at $450, but the least time required occurs at $300.  We find#yearstobreak-evenbydividing break-evenunitsbyforecastunitsales/year. Fixed Cost Variable Cost 1 Variable Cost 2 $20,000 $1.25 $176.86 Possible PricesForecast Units Unit Cost Break-even (units) Break-even (# years) $180 1,457  $191.84 -1,690 -1.16 $200 942  $199.34 30,368 32.24 $250 649  $208.93 487 0.75 $300 467  $220.94 253 0.54 $330 346  $235.91 213 0.61 $360 262  $254.45 189 0.72 $400 201  $277.61 163 0.81 $450 156  $306.32 139 0.89 $500 94  $390.88 183 1.95 $600 54  $548.48 388 7.19 $650 24  $1,011.44 -55 -2.31 Break-Even Model Fixed Costs: Software module $15,000 + Marketing launch $5,000 $20,000 Variable Cost 2: Lost sales of individual tickets to each pass buyer Average $176.86 Variable Cost 1: Season pass card + Mailing cost $1.25/unit
  • 21. Question 5: What is the internal rate of return on the initial investment? Determine the IRR over three years at the selected price. Begin with the selected price. Identify the initial investment and the estimated cash flows over three years at this price. Use the IRR model to calculate the rate of return on the initial investment. Excel, Internal Rate of Investment Model
  • 22. Initial Investment Cash Flow (Year 1) Cash Flow (Year 2) Cash Flow (Year 3) IRR $140,100 $152,709 $166,453 -$82,594 -$90,027 -$98,129 -$20,000 $57,506 $62,682 $68,323 290% IRR Having used break-even to select a price of $300, we use IRR to evaluate the internal rate of return over three years of sales. Growth in sales quantity = 9%, price constant at $300.  Positive cash flow from season pass sales  Minus offsetting loss in individual ticket sales
  • 23. 1. Competitive landscape: $400 – 600 2. Survey data: $250 – 750 (mean $489) 3. Value-in-Use: $180 – 650 4. Fastest Break-Even: $300 Recommended Price: $300 Recommended Price Based on Models
  • 24. Recommended Price: $300 Recommended Price Based on Models Have we met our goals? 1. Price recommendation? $300 2. Value to the customer? $489 value > $300 3. Positive return? Break-even in 6.5 months IRR = 290% 4. Improved cash flow Cash flow up by $57K
  • 25. Recommended Price: $300 Recommended Price Based on Models We recommend introducing a season pass at $300. We expect to see: 1. High IRR 2. Fuller audiences 3. Greater donations 4. Increased excitement and individual ticket sales IRR !!!