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Music Industry Performance. How has it changed in the digital age?. Profits: Warner Music Group.
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Music Industry Performance How has it changed in the digital age?
Profits: Warner Music Group “OIBDA reflects our operating income before non-cash depreciation of tangible assets, non-cash amortization of intangible assets, and non-cash impairment charges to reduce the carrying value of goodwill and intangible assets.” Net Loss results from subtracting interest expenses and income taxes from Operating Income.
Deadweight Loss • DWL = ½ ΔP ΔQ = ½ (P-MC)(Qc-Q1) • Lerner Index and the Price-Cost Margin • (P-MC)/P = -(1/Ep) • Note: -Ep = [P/(P-MC)] • If we assume profit-maximizing behavior • DWL = ½ PQ(-Ep)[(P-MC)/P]2 • Substituting for (-Ep) gives • DWL = ½ PQ[(P-MC)/P]
DWL Calculations • Physical CD • DWL = ½ PQ[(P-MC)/P] • Price = $15.99, Q = 100,000 • MC = $0.80 + $0.96 + $0.80 + $1.60 = $4.16 • [(P-MC)/P] = ($15.99 - $4.16)/$15.99 = 0.74 • DWL = (0.5)($1.599 million)(0.74) = $591,630 • For Price = $11.99, Q = 1 million • [(P-MC)/P] = ($11.99 - $4.16)/$11.99 = 0.65 • DWL = (0.5)($11.99 million)(0.65) = $3,896,750 • Album Download • DWL = ½ PQ[(P-MC)/P] • Price = $9.99, Q = 100,000 • MC = $0.10 + $0.50 + $1.00 = $1.60 • [(P-MC)/P] = ($9.99 - $1.60)/$9.99 = 0.84 • DWL = (0.5)($999,000)(0.84) = $419,580
DWL with Revenue Sharing • Labels split revenue with download retailers 70%/30% • Labels prefer P & Q defined by (0.7-0.15)MR = MC = 0 • Or that the retailer maximizes revenue, MR=0 • Ep = -1 • DWL = ½ PQ(-Ep)[(P-MC)/P]2 • Retailers prefer P & Q defined by 0.3MR = MC • Learner Index becomes [(P – 3.33MC)/P] = -1/Ep • DWL = ½ PQ[(P-3.33MC)/P] • Suggests that retail price is negotiated along with the revenue sharing proportion
DWL with Revenue Sharing • Suppose Price is set by Labels to maximize revenue (see graph). • DWL = ½ PQ(-Ep)[(P-MC)/P]2, • P = $9.99, Q = 100,000 • DWL = ½(999,000)1[(9.99-0.1)/9.99]2 • DWL = (499,500)(0.9899)2 = (499,500)(0.98) • DWL = $489,510 • For Q = 1 million, DWL = 10($489,510) = $4,895,100 • Note: • Higher MC reduces DWL • True Ep < 1 and this also reduces DWL
Performance Conclusions • Profit is an unreliable performance measure • DWL appears to have fallen for digital downloads relative to physical CDs • DWL even lower for file-sharing (graph) • Product Variety? • Does product variety offset DWL? • Progressivity? • Has the industry embraced new technology to reduce costs and introduce new products?
References • “Warner Music Group Corp. Reports Results for the Fiscal Fourth Quarter and Full Year Ended September 30, 2012.” Dec. 13, 2012, http://www.wmg.com/ .