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1 - Revenue Single Product R = P x Q Multi Product R = PiQi. 2 – Cost VC vs. AFC AVC vs. AFC MC vs. Incremental Cost Sunk Cost Programmed Cost Avoidable Cost Fungible Cost Opportunity Cost Relevant Cost Joint Cost Accounting Alocation. Financial Properties. 3 – Margins - PowerPoint PPT Presentation
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Financial Properties• 1 - Revenue
– Single Product
R = P x Q
– Multi Product
R = PiQi
• 2 – Cost– VC vs. AFC– AVC vs. AFC– MC vs. Incremental Cost– Sunk Cost– Programmed Cost– Avoidable Cost– Fungible Cost– Opportunity Cost– Relevant Cost– Joint Cost– Accounting Alocation
• 3 – Margins• Gross
• Trade
• Net Profit
– A: Gross Margin (Profit)
Total GM = R – CGS
Unit GM = P – Unit CGS
• Four Factors– Q
– P
– Cost
– Product Mix
– B: Trade Margin
MfgrWholesalerRetailier
For a Single Channel:
Pm = P x (1-%Discount)
Ex: Pc = $2.00
% Discount = 0.03
$1.40 = 2.00 x 0.70
Also
Pc = Cost/(1-%Discount)
For N Channels
Pc = Cost/(1-%Discount)
Cost = Pc(1-%Discount)
– C: Net Profit Margins
(before taxes)
R
-CGS_______
GPM
-Other VC
-FC_________
Net Profit Margin (NPM)
% of NPM = NPM
R
• 4 – Contribution AnalysisBEQ = FC / (P-AVC)
% CM = (P-AVC) / P
BER = _FC = BEQ x P
% CM
• NoteBER = P x BEQ
= P x FC / (P-AVC)
Divide by PP x [FC / P – AVC]=FC
P P %CM
ILLUSTRATIONChannel Unit CGS GM GM% Make-UP%Manufacturer 2.00 0.88 .306(.88/2.88) .44(.88/2.00)Wholesaler 2.88 0.72 .200(.72/3.60) .25(.72/2.88)Retailer 3.60 2.40 .400(2.40/6.00) .67(2.40/3.60)Consumer 6.00
Calc. of Prices and Margins SP = CGS x Product of Mark-UpsPrice to Consumer $6.00 = 2.00 x (1.44 x 1.25 x 1.67) = $6.00
x 0.40 CGS = SP/Product of Mark-UpsRetailer Margin 2.40 = 6.00 / 3.00 = $2.00Wholesale Price 3.60
x 0.20 Alternatively,Wholesale Margin 0.72Manufacturer Price 2.88 SP = Cost / Product (1-%D)
x 0.306 = 2.00 / (1-.4)(1-.2)(1-.306) = $6.00Manufacturer Margin 0.881 Cost = SP x Product (1-%D)Manufacturing Cost $2.00 = 6.00 x (1-.4)(1-.2)(1-.306) = $2.00
• Applications(1) Sensitivity Analysis: Vary P or AVC
or FC to determine BEQ(2) Calculate Q to achieve Profit
Objective ()Qp = FC + P P – AVC
Suppose objective is to achieve a profit of X% on sales
R – C = % R
PQ-AVC(Q)-FC = % PQ
Q (P-AVC) – FC = % PQ
Example: P=$25; AVC=$10; FC=$200,000; % = .20
Q(25-10) – 200,000 = .20 25Q Q = 20,000
• 5 – CannibalizationAssume:
• X X+
P 1.00 1.10
AVC .20 .40
CM .80 .70
• Qx = 1,000,000 if X+ is not introduced;
= 5,000,000 if X+ is introduced
Qx+ = 1,000,000 if X+ is introduced
• Assume no incremental FC
Query: Should X+ be introduced?Solution:Method AX+Gain 1,000,000x.70 = 700,000CannibalizationLoss 500,000 x .81 = 400,000
300,000
Method BContr: w/o X+1,000,000x.80=800,000Contribution with X and X+:X 500,000 x .80 =
400,000X+ 1,000,000 x .70 =
700,000
Total Contr. Of X + X+= 1,100,000Contr of X alone = 800,000Net Gain from Add. of X+ = 300,000
• 6 – Financial Concepts and Ratios– A –Liquidity
• Working Capital = Current Assets – Current Liabilities
Current Assets = Cash, Accounts Receivable, Inventory, Prepaid Expenses
Current Liabilities = Accounts Payable, Income Taxes
• Operating Leverage = FC/VC
• Current Ratio = Assets
Liabilities
• Quick Ratio =Assets-Inventory
Liabilities
– Asset Management• Inventory Turnover = Sales / Inventory
• Asset Utilization = Sales / Total Assets
– Profitability Ratios• Profit Margin in Sales = Profitability Before Taxes / Sales
• Return on Assets = Profitability Before Taxes / Total Assets
• Return on Investment = Net Income / Investment(Investment = Total Assets)
Net Sales X Net Income
Investment Net Sales
• ROI = f (Stockturn, ratio of CGS to Net Sales)
• Net Present Value Illustration
Cost of Capital 10%Sales from New Product $1,000,000/yrNew Equipment $700,000Useful Life of Equipment 10 yrsDepreciation 10% / yrSalvage Value $100,000Cost of Goods and Expenses $700,000Tax Rate 50%
Assumptions
Calculating Net Cash Flows
GI = Sales – CGS
= 1,000,000 – 700,000 = 300,000
Taxable Income = GI – Depreciation
= 300,000-60,000 [(700,000 – 100,000) x .10] = 240,000
Net Income = Taxable Income – Tax
= 240,000 – 120,000 (240,000 x .5) = 120,000
Net Cash Flow = Net Income + Depreciation
= 120,000 + 60,000 = 180,000
Year Net Cash Flow 10% Discount Factor PV1 $180,000 0.9091 $163,6382 $180,000 0.8264 $148,7523 $180,000 0.7513 $135,2344 $180,000 0.683 $122,9405 $180,000 0.6209 $111,7626 $180,000 0.5645 $101,6107 $180,000 0.5132 $92,3768 $180,000 0.4665 $83,9709 $180,000 0.4241 $76,33810 $280,000 0.3855 $107,940
$1,144,560