Intrinsic value of GoPro - GPRO

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$7.74

  Intrinsic Value

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  Value-price divergence*

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*Intrinsic value change (in %) minus stock price change (in %) in the past 12 months.

We calculate the intrinsic value of GPRO stock by summing up the current values of future distributable cash flows generated by the company and dividing the sum by the number of outstanding shares. As such, the intrinsic value calculation depends entirely on projections. The more accurate your projections of the company's performance are - the more reliable is the intrinsic value calculation result. Please make sure to check the stock valuation input data below and adjust it if necessary. The quality of the output (intrinsic valuation result) is only as good as the quality of the input. See also DISCLAIMERS.

STOCK VALUATION INPUT DATA

Revenue (in 2016), $M
Initial revenue growth rate, %
Terminal revenue growth rate, %
Revenue decline factor
Initial discount rate, %
Discount rate multiplier
Variable cost ratio, %
Fixed operating expenses, $M
Interest rate on debt, %
Effective corporate tax rate, %
Production assets / Revenue, %
Life of production assets, yrs
Working capital / Revenue, %
Revenue / Adjusted assets
Adjusted equity ratio
Cash flow adjustment, % of Revenue
Book value of equity, $M
Shares outstanding, mln
Market capitalization, $bln 1.1

 

FINANCIAL STATEMENTS FORECAST and PRESENT VALUE CALCULATION

Fiscal year
2016(a)
   2017
   2018
   2019
   2020
   2021
   2022
   2023
   2024
   2025
   2026
   2027
   2028
   2029
   2030
   2031
   2032
   2033
   2034
   2035
   2036
   2037
   2038
   2039
   2040
   2041
   2042
   2043
   2044
   2045
   2046

INCOME STATEMENT

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Revenue growth rate, %
  -26.85
  23.80
  21.92
  20.23
  18.71
  17.33
  16.10
  14.99
  13.99
  13.09
  12.28
  11.56
  10.90
  10.31
  9.78
  9.30
  8.87
  8.48
  8.14
  7.82
  7.54
  7.29
  7.06
  6.85
  6.67
  6.50
  6.35
  6.21
  6.09
  5.98
  5.89
Revenue, $m
  1,185
  1,467
  1,789
  2,150
  2,553
  2,995
  3,477
  3,999
  4,558
  5,155
  5,788
  6,457
  7,161
  7,899
  8,671
  9,478
  10,319
  11,194
  12,105
  13,052
  14,036
  15,058
  16,121
  17,226
  18,374
  19,568
  20,811
  22,104
  23,451
  24,854
  26,317
Variable operating expenses, $m
 
  280
  338
  403
  476
  556
  643
  737
  838
  946
  1,060
  1,167
  1,294
  1,427
  1,567
  1,712
  1,864
  2,023
  2,187
  2,358
  2,536
  2,721
  2,913
  3,112
  3,320
  3,536
  3,760
  3,994
  4,237
  4,491
  4,755
Fixed operating expenses, $m
 
  1,315
  1,348
  1,382
  1,416
  1,452
  1,488
  1,525
  1,563
  1,602
  1,642
  1,683
  1,725
  1,769
  1,813
  1,858
  1,905
  1,952
  2,001
  2,051
  2,102
  2,155
  2,209
  2,264
  2,321
  2,379
  2,438
  2,499
  2,562
  2,626
  2,691
Total operating expenses, $m
  1,558
  1,595
  1,686
  1,785
  1,892
  2,008
  2,131
  2,262
  2,401
  2,548
  2,702
  2,850
  3,019
  3,196
  3,380
  3,570
  3,769
  3,975
  4,188
  4,409
  4,638
  4,876
  5,122
  5,376
  5,641
  5,915
  6,198
  6,493
  6,799
  7,117
  7,446
Operating income, $m
  -373
  -128
  103
  366
  661
  988
  1,347
  1,737
  2,157
  2,607
  3,085
  3,607
  4,141
  4,703
  5,292
  5,907
  6,550
  7,219
  7,917
  8,642
  9,397
  10,183
  10,999
  11,849
  12,733
  13,654
  14,612
  15,611
  16,652
  17,738
  18,871
EBITDA, $m
  -331
  -87
  149
  418
  721
  1,056
  1,423
  1,822
  2,253
  2,713
  3,203
  3,722
  4,269
  4,844
  5,446
  6,076
  6,733
  7,419
  8,132
  8,875
  9,647
  10,451
  11,286
  12,156
  13,060
  14,002
  14,983
  16,005
  17,070
  18,180
  19,339
Interest expense (income), $m
  0
  0
  4
  8
  14
  19
  25
  32
  40
  47
  56
  65
  74
  84
  94
  105
  117
  128
  141
  153
  167
  181
  195
  210
  225
  242
  258
  276
  294
  313
  333
Earnings before tax, $m
  -375
  -128
  99
  357
  647
  969
  1,321
  1,704
  2,117
  2,559
  3,030
  3,542
  4,067
  4,619
  5,198
  5,802
  6,433
  7,091
  7,776
  8,489
  9,231
  10,002
  10,805
  11,639
  12,508
  13,412
  14,354
  15,335
  16,358
  17,425
  18,538
Tax expense, $m
  44
  0
  27
  96
  175
  262
  357
  460
  572
  691
  818
  956
  1,098
  1,247
  1,403
  1,567
  1,737
  1,915
  2,100
  2,292
  2,492
  2,701
  2,917
  3,143
  3,377
  3,621
  3,876
  4,141
  4,417
  4,705
  5,005
Net income, $m
  -419
  -128
  72
  261
  472
  707
  964
  1,244
  1,546
  1,868
  2,212
  2,586
  2,969
  3,372
  3,794
  4,236
  4,696
  5,176
  5,677
  6,197
  6,738
  7,302
  7,887
  8,497
  9,131
  9,791
  10,478
  11,195
  11,941
  12,720
  13,533

BALANCE SHEET

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Cash and short-term investments, $m
  218
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
Total assets, $m
  923
  873
  1,064
  1,279
  1,519
  1,782
  2,069
  2,379
  2,712
  3,067
  3,443
  3,841
  4,260
  4,699
  5,159
  5,638
  6,138
  6,659
  7,201
  7,764
  8,350
  8,958
  9,590
  10,247
  10,930
  11,641
  12,380
  13,149
  13,950
  14,785
  15,655
Adjusted assets (=assets-cash), $m
  705
  873
  1,064
  1,279
  1,519
  1,782
  2,069
  2,379
  2,712
  3,067
  3,443
  3,841
  4,260
  4,699
  5,159
  5,638
  6,138
  6,659
  7,201
  7,764
  8,350
  8,958
  9,590
  10,247
  10,930
  11,641
  12,380
  13,149
  13,950
  14,785
  15,655
Revenue / Adjusted assets
  1.681
  1.680
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
  1.681
Average production assets, $m
  106
  131
  159
  191
  227
  267
  309
  356
  406
  459
  515
  575
  637
  703
  772
  844
  918
  996
  1,077
  1,162
  1,249
  1,340
  1,435
  1,533
  1,635
  1,742
  1,852
  1,967
  2,087
  2,212
  2,342
Working capital, $m
  157
  -75
  -91
  -110
  -130
  -153
  -177
  -204
  -232
  -263
  -295
  -329
  -365
  -403
  -442
  -483
  -526
  -571
  -617
  -666
  -716
  -768
  -822
  -879
  -937
  -998
  -1,061
  -1,127
  -1,196
  -1,268
  -1,342
Total debt, $m
  0
  113
  242
  387
  549
  727
  920
  1,130
  1,354
  1,594
  1,848
  2,117
  2,399
  2,696
  3,006
  3,330
  3,667
  4,019
  4,385
  4,765
  5,160
  5,571
  5,997
  6,441
  6,902
  7,381
  7,880
  8,400
  8,941
  9,504
  10,091
Total liabilities, $m
  476
  589
  718
  863
  1,025
  1,203
  1,396
  1,606
  1,830
  2,070
  2,324
  2,593
  2,875
  3,172
  3,482
  3,806
  4,143
  4,495
  4,861
  5,241
  5,636
  6,047
  6,473
  6,917
  7,378
  7,857
  8,356
  8,876
  9,417
  9,980
  10,567
Total equity, $m
  447
  284
  346
  416
  494
  579
  672
  773
  881
  997
  1,119
  1,248
  1,384
  1,527
  1,677
  1,832
  1,995
  2,164
  2,340
  2,523
  2,714
  2,911
  3,117
  3,330
  3,552
  3,783
  4,023
  4,273
  4,534
  4,805
  5,088
Total liabilities and equity, $m
  923
  873
  1,064
  1,279
  1,519
  1,782
  2,068
  2,379
  2,711
  3,067
  3,443
  3,841
  4,259
  4,699
  5,159
  5,638
  6,138
  6,659
  7,201
  7,764
  8,350
  8,958
  9,590
  10,247
  10,930
  11,640
  12,379
  13,149
  13,951
  14,785
  15,655
Debt-to-equity ratio
  0.000
  0.400
  0.700
  0.930
  1.110
  1.250
  1.370
  1.460
  1.540
  1.600
  1.650
  1.700
  1.730
  1.770
  1.790
  1.820
  1.840
  1.860
  1.870
  1.890
  1.900
  1.910
  1.920
  1.930
  1.940
  1.950
  1.960
  1.970
  1.970
  1.980
  1.980
Adjusted equity ratio
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325
  0.325

CASH FLOW

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Net income, $m
  -419
  -128
  72
  261
  472
  707
  964
  1,244
  1,546
  1,868
  2,212
  2,586
  2,969
  3,372
  3,794
  4,236
  4,696
  5,176
  5,677
  6,197
  6,738
  7,302
  7,887
  8,497
  9,131
  9,791
  10,478
  11,195
  11,941
  12,720
  13,533
Depreciation, amort., depletion, $m
  42
  41
  46
  53
  60
  68
  76
  86
  96
  106
  118
  115
  127
  141
  154
  169
  184
  199
  215
  232
  250
  268
  287
  307
  327
  348
  370
  393
  417
  442
  468
Funds from operations, $m
  25
  -87
  119
  314
  532
  775
  1,041
  1,330
  1,641
  1,975
  2,329
  2,701
  3,097
  3,513
  3,949
  4,404
  4,880
  5,376
  5,892
  6,429
  6,988
  7,570
  8,174
  8,803
  9,458
  10,139
  10,849
  11,588
  12,359
  13,163
  14,001
Change in working capital, $m
  133
  -14
  -16
  -18
  -21
  -23
  -25
  -27
  -29
  -30
  -32
  -34
  -36
  -38
  -39
  -41
  -43
  -45
  -46
  -48
  -50
  -52
  -54
  -56
  -59
  -61
  -63
  -66
  -69
  -72
  -75
Cash from operations, $m
  -108
  -68
  135
  332
  553
  798
  1,066
  1,357
  1,670
  2,005
  2,362
  2,735
  3,133
  3,550
  3,988
  4,445
  4,923
  5,420
  5,938
  6,478
  7,038
  7,622
  8,228
  8,860
  9,516
  10,200
  10,912
  11,654
  12,428
  13,234
  14,076
Maintenance CAPEX, $m
  0
  -21
  -26
  -32
  -38
  -45
  -53
  -62
  -71
  -81
  -92
  -103
  -115
  -127
  -141
  -154
  -169
  -184
  -199
  -215
  -232
  -250
  -268
  -287
  -307
  -327
  -348
  -370
  -393
  -417
  -442
New CAPEX, $m
  -44
  -25
  -29
  -32
  -36
  -39
  -43
  -46
  -50
  -53
  -56
  -60
  -63
  -66
  -69
  -72
  -75
  -78
  -81
  -84
  -88
  -91
  -95
  -98
  -102
  -106
  -111
  -115
  -120
  -125
  -130
Cash from investing activities, $m
  19
  -46
  -55
  -64
  -74
  -84
  -96
  -108
  -121
  -134
  -148
  -163
  -178
  -193
  -210
  -226
  -244
  -262
  -280
  -299
  -320
  -341
  -363
  -385
  -409
  -433
  -459
  -485
  -513
  -542
  -572
Free cash flow, $m
  -89
  -113
  80
  268
  479
  713
  969
  1,248
  1,549
  1,871
  2,213
  2,572
  2,955
  3,357
  3,779
  4,219
  4,679
  5,159
  5,658
  6,178
  6,718
  7,281
  7,866
  8,474
  9,108
  9,767
  10,453
  11,169
  11,914
  12,692
  13,503
Issuance/(repayment) of debt, $m
  0
  113
  129
  145
  162
  178
  194
  209
  225
  240
  254
  269
  283
  296
  310
  324
  338
  352
  366
  380
  395
  411
  427
  444
  461
  480
  499
  519
  541
  563
  587
Issuance/(repurchase) of shares, $m
  3
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
Cash from financing (excl. dividends), $m  
  2
  113
  129
  145
  162
  178
  194
  209
  225
  240
  254
  269
  283
  296
  310
  324
  338
  352
  366
  380
  395
  411
  427
  444
  461
  480
  499
  519
  541
  563
  587
Total cash flow (excl. dividends), $m
  -88
  0
  209
  413
  640
  890
  1,163
  1,458
  1,774
  2,110
  2,468
  2,841
  3,238
  3,654
  4,089
  4,543
  5,017
  5,510
  6,024
  6,558
  7,114
  7,691
  8,293
  8,918
  9,569
  10,246
  10,952
  11,688
  12,455
  13,255
  14,091
Retained Cash Flow (-), $m
  325
  -55
  -62
  -70
  -78
  -86
  -93
  -101
  -108
  -115
  -122
  -129
  -136
  -143
  -149
  -156
  -163
  -169
  -176
  -183
  -190
  -198
  -205
  -214
  -222
  -231
  -240
  -250
  -260
  -271
  -283
Prev. year cash balance distribution, $m
 
  218
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
Cash flow adjustment, $m
 
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
Cash available for distribution, $m
 
  163
  147
  343
  563
  805
  1,070
  1,357
  1,665
  1,995
  2,345
  2,712
  3,102
  3,511
  3,939
  4,387
  4,854
  5,341
  5,848
  6,375
  6,923
  7,494
  8,087
  8,704
  9,347
  10,016
  10,712
  11,438
  12,195
  12,984
  13,808
Discount rate, %
 
  4.30
  4.52
  4.74
  4.98
  5.23
  5.49
  5.76
  6.05
  6.35
  6.67
  7.00
  7.35
  7.72
  8.11
  8.51
  8.94
  9.39
  9.86
  10.35
  10.87
  11.41
  11.98
  12.58
  13.21
  13.87
  14.56
  15.29
  16.05
  16.86
  17.70
PV of cash for distribution, $m
 
  156
  135
  299
  463
  624
  776
  917
  1,041
  1,146
  1,230
  1,288
  1,324
  1,335
  1,323
  1,288
  1,234
  1,162
  1,077
  982
  880
  775
  671
  570
  476
  390
  313
  245
  189
  142
  104
Current shareholders' claim on cash, %
  100
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0
  100.0

GoPro, Inc. develops and sells mountable and wearable cameras, and accessories in the United States and internationally. The company offers HERO5, a line of cloud-connected cameras; GoPro Plus, a cloud-based storage solution that enables subscribers to access, edit, and share content; Quik, a desktop app that provides expanded editing options for power users; Capture, a mobile app that allows users to preview and play back shots, control their GoPro cameras, and share content on the fly using their smartphones; Karma, a compact and foldable drone and versatile stabilization solution; and Karma Grip, a handheld and body-mountable camera stabilizer to capture zero-shake and smooth video. It also offers mountable, wearable, and voice activated accessories comprising equipment-based mounts consisting of helmet, handlebar, roll bar, and tripod mounts that enable consumers to wear the mount on their bodies, such as wrist housings, chest harnesses, and head straps. GoPro, Inc. markets and sells its products through retailers and distributors, as well as through its Website. The company was formerly known as Woodman Labs, Inc. and changed its name to GoPro, Inc. in February 2014. GoPro, Inc. was founded in 2004 and is headquartered in San Mateo, California.

FINANCIAL RATIOS  of  GoPro (GPRO)

Valuation Ratios
P/E Ratio -2.6
Price to Sales 0.9
Price to Book 2.4
Price to Tangible Book
Price to Cash Flow -10.1
Price to Free Cash Flow -7.2
Growth Rates
Sales Growth Rate -26.9%
Sales - 3 Yr. Growth Rate %
EPS Growth Rate %
EPS - 3 Yr. Growth Rate %
Capital Spending Gr. Rate -13.7%
Cap. Spend. - 3 Yr. Gr. Rate 19.6%
Financial Strength
Quick Ratio NaN
Current Ratio 0
LT Debt to Equity 0%
Total Debt to Equity 0%
Interest Coverage 0
Management Effectiveness
Return On Assets -41.4%
Ret/ On Assets - 3 Yr. Avg. -6.2%
Return On Total Capital -68.7%
Ret/ On T. Cap. - 3 Yr. Avg. -10.9%
Return On Equity -68.7%
Return On Equity - 3 Yr. Avg. -9.2%
Asset Turnover 1.2
Profitability Ratios
Gross Margin 39%
Gross Margin - 3 Yr. Avg. 41.8%
EBITDA Margin -28.1%
EBITDA Margin - 3 Yr. Avg. -2.9%
Operating Margin -31.5%
Oper. Margin - 3 Yr. Avg. -4.9%
Pre-Tax Margin -31.6%
Pre-Tax Margin - 3 Yr. Avg. -5.1%
Net Profit Margin -35.4%
Net Profit Margin - 3 Yr. Avg. -8%
Effective Tax Rate -11.7%
Eff/ Tax Rate - 3 Yr. Avg. 16.5%
Payout Ratio 0%

GPRO stock valuation input parameters

Revenue. Company's revenue (or sales) is always the starting point of any cash flow forecast. In the GPRO stock intrinsic value calculation we used $1185 million for the last fiscal year's total revenue generated by GoPro. The default revenue input number comes from 2016 income statement of GoPro. You may change it if you feel that it should be adjusted for some unusual circumstances that are not expected to be repeated in the future or if you already know (from interim financial statements, for example) that this year's revenue is going to be quite different.

Revenue growth rate. Forecasted future revenue growth rate is the most important input parameter for the intrinsic value calculation. Unlike other input parameters that are reasonably expected to be in line with their historic averages or their historic trends, the revenue growth rate by and large is a wild card: nobody really knows what the company's revenue will be in the future. Of course, the level of unpredictability is different for different industries (utility companies being the most predictable and, thus, less risky).
    We use three input parameters to forecast the revenue growth rate in our GPRO stock valuation model: a) initial revenue growth rate of 23.8% whose default value is the revenue growth rate in the most recent quarter compared to the quarterly revenue a year ago; b) terminal revenue growth rate of 5% whose default value is chosen to be close to the average nominal (i.e. not adjusted for inflation) GDP growth rate; and c) revenue decline factor of 0.9, which stipulates that revenue growth rate in each forecasted year will be equal to the difference of the revenue growth rate in the preceding year and the terminal revenue growth rate multiplied by this revenue decline factor (with the passage of time the revenue growth rate will be approaching the terminal revenue growth rate, but not quite reaching it - though the difference could be infinitesimally small).
    At the revenue decline factor of 1, the future revenue growth rate is forecasted to be constant and equal to the initial revenue growth rate. The smaller the revenue decline factor, the faster the revenue growth rate will approach the terminal revenue growth.

Discount rate. The discount rate is used for determining the present value of future cash flows: future cash flows are "discounted" as at normal conditions (that translate into positive expected return on investment) one dollar today is worth more than the same dollar in the future. Unlike all other valuation models, we use variable discount rate, i.e. it increases for each consecutive year. This is done to account for higher risk of cash flows coming in further in the future.
    The initial discount rate of 4.3%, whose default value for GPRO is calculated based on our internal credit rating of GoPro, is applied to the cash flow expected to be received a year from now (well, actually, to be precise, in the financial year following the base year - the last year for which we have financial statements). For each consecutive year the discount rate is multiplied by the discount rate multiplier of 1.05, e.i. each year it increases by 5%. Feel free to change this number to correspond to your level of risk assessment of GoPro.
    By the way, it is easy to set the discount rate to be constant (this would make comparison with other valuation models easier): just set the discount rate multiplier equal to 1 and chose the magnitude of the initial discount rate to your liking.

Variable cost ratio is the ratio of variable costs (i.e. costs that fluctuate with fluctuation of the volume of production) to the revenue expressed as a percentage. In the calculation of intrinsic value of GPRO stock the variable cost ratio is equal to 19.3%.

Fixed operating expenses is just that - expenses that are not dependant on the volume of production. They are set to $1283 million in the base year in the intrinsic value calculation for GPRO stock. These expenses increase with the level of inflation in subsequent years.

Interest rate on debt is the average all-in rate of interest paid by the company on its debt. It is set at 3.5% for GoPro.

Corporate tax rate of 27% is the nominal tax rate for GoPro. In reality, companies find ways to pay much less taxes than that or not to pay them at all.

Cash flow adjustment could be used for any adjustment the investor deems necessary. Most commonly we use this field to account for stock options-related effects in excess of what is reported on the company's income statement. The cash flow adjustment is expressed as a percentage of the revenue, and in the current valuation of the GPRO stock is equal to 0%.

Production assets are the company's assets used for manufacturing products or provision of services. In the valuation model input table they are expressed as a percentage of revenue and for GPRO are equal to 8.9%.

Life of production assets of 4.9 years is the average useful life of capital assets used in GoPro operations. It is used to calculate yearly capital expenditures needed to keep these assets in good order - we call it the maintenance CAPEX.

Working capital is the difference between the company's current assets and liabilities. In the model we use the ratio of working capital to revenue, which for GPRO is equal to -5.1%. A negative number means that the company is apt at using financial resources of its suppliers and customers; a large positive number, on the other hand, means that it either provides in-kind financing to others or is not good at managing its inventories.

Book value of equity - $447 million for GoPro - is used in calculation of the "floor" for intrinsic valuation based on the discounted cash flow (DCF) method. Even if the prospects are very bad for a company, its assets could always be sold now for their current fair market value.

Shares outstanding of 138.004 million for GoPro is needed to calculate the intrinsic value of one share.

Market capitalization is used here only for reference purposes and as a quick check that the share price and the number of shares outstanding numbers are correct - something especially to be cognizant about at stock splits. So, the market capitalization of GoPro at the current share price and the inputted number of shares is $1.1 billion.


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Stock chart of GPRO Financial statements of GPRO Annual reports of GPRO
Valuation of Stocks

The paper VALUATION OF STOCKS: The Quest for Intrinsic Value provides a detailed description of our valuation model and discloses the calculation algorithm.

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