Key Formulas and Practical Applications in CMA Final SFM
Compilation of Key Formulas and Practical Applications in CMA Final SFM
Introduction:
Welcome to our comprehensive compilation focusing on the "Key Formulas and Practical Applications in CMA Final SFM." The Strategic Financial Management (SFM) section holds significant importance within the CMA Final curriculum, as it delves into decision-making processes that directly impact a company's financial health. This article serves as your guide to 100 essential SFM formulas, presented in an approachable format, accompanied by real-world scenarios to illustrate their relevance. Let's embark on this journey to deepen our understanding of SFM concepts!
CMA Final SFM subject 100 formulas with practical applications:
Formula # | Formula Name | Simple Explanation | Practical Use Case |
---|---|---|---|
1 | Return on Investment (ROI) | ROI = (Net Profit / Initial Investment) * 100 | Measure the profitability of an investment |
2 | Net Present Value (NPV) | NPV = Σ [CFt / (1 + r)^t] - Initial Investment | Decide if a project's cash flows yield positive returns over time |
3 | Payback Period | Payback Period = Initial Investment / Annual Cash Flows | Determine the time it takes to recover an investment |
4 | Cost of Capital | Cost of Capital = (Cost of Equity + Cost of Debt) / Total Capital | Calculate the minimum required return for investors |
5 | Weighted Average Cost of Capital (WACC) | WACC = (E/V * Re) + (D/V * Rd * (1 - Tax Rate)) | Evaluate the average cost of financing for projects |
6 | Capital Asset Pricing Model (CAPM) | Re = Rf + β * (Rm - Rf) | Estimate the expected return on a risky investment |
7 | Dividend Discount Model (DDM) | P0 = D1 / (Ke - g) | Determine the intrinsic value of a stock |
8 | Economic Order Quantity (EOQ) | EOQ = √[(2 * D * S) / H] | Optimize order quantity for cost-efficient inventory management |
9 | Working Capital Turnover Ratio | Working Capital Turnover Ratio = Sales / Working Capital | Assess the efficiency of working capital utilization |
10 | Days Sales Outstanding (DSO) | DSO = (Accounts Receivable / Net Sales) * Number of Days | Evaluate the average time taken to collect receivables |
11 | Interest Coverage Ratio | Interest Coverage Ratio = EBIT / Interest Expense | Measure a company's ability to meet its interest obligations |
12 | Inventory Turnover Ratio | Inventory Turnover Ratio = Cost of Goods Sold / Average Inventory | Evaluate how frequently inventory is sold and replaced |
13 | Return on Assets (ROA) | ROA = Net Profit / Total Assets | Measure the profitability of a company's assets |
14 | DuPont Analysis | ROE = (Net Profit Margin) * (Asset Turnover) * (Equity Multiplier) | Analyze the components affecting Return on Equity |
15 | Gross Profit Margin | Gross Profit Margin = (Gross Profit / Net Sales) * 100 | Evaluate the percentage of sales retained as gross profit |
16 | Operating Profit Margin | Operating Profit Margin = (Operating Profit / Net Sales) * 100 | Measure the percentage of sales retained as operating profit |
17 | Net Profit Margin | Net Profit Margin = (Net Profit / Net Sales) * 100 | Assess the percentage of sales retained as net profit |
18 | Current Ratio | Current Ratio = Current Assets / Current Liabilities | Measure a company's ability to cover short-term liabilities |
19 | Quick Ratio (Acid-Test Ratio) | Quick Ratio = (Current Assets - Inventory) / Current Liabilities | Evaluate liquidity by excluding slow-moving inventory |
20 | Debt Equity Ratio | Debt Equity Ratio = Total Debt / Total Equity | Assess the proportion of external funds used for financing |
21 | Times Interest Earned (TIE) Ratio | TIE Ratio = EBIT / Interest Expense | Evaluate a company's ability to meet its interest obligations |
22 | Operating Leverage | Operating Leverage = Contribution Margin / Operating Profit | Measure the impact of fixed costs on operating income |
23 | Financial Leverage | Financial Leverage = Total Assets / Total Equity | Measure the proportion of equity financing in a company |
24 | Combined Leverage | Combined Leverage = Operating Leverage * Financial Leverage | Measure the total impact of fixed and financial leverage |
25 | Degree of Operating Leverage (DOL) | DOL = % Change in EBIT / % Change in Sales | Measure how operating leverage affects changes in EBIT |
26 | Degree of Financial Leverage (DFL) | DFL = % Change in EPS / % Change in EBIT | Measure how financial leverage affects changes in EPS |
27 | Degree of Combined Leverage (DCL) | DCL = % Change in EPS / % Change in Sales | Measure how total leverage affects changes in EPS |
28 | Black-Scholes Option Pricing Model | Option Price = S * N(d1) - X * e^(-rt) * N(d2) | Calculate the theoretical price of a European option |
29 | Capital Structure Theories (Modigliani-Miller Theorems) | Proposition I: V = EBIT * (1 - Tax Rate) / Ke | Discuss theories on capital structure and value |
30 | Dividend Payout Ratio | Dividend Payout Ratio = Dividends / Net Income | Measure the proportion of earnings distributed as dividends |
31 | Dividend Yield | Dividend Yield = Dividends per Share / Market Price per Share | Measure the return on investment from dividends |
32 | Price Earnings (P/E) Ratio | P/E Ratio = Market Price per Share / Earnings per Share | Evaluate the price investors are willing to pay for earnings |
33 | Internal Rate of Return (IRR) | NPV = Σ [CFt / (1 + IRR)^t] - Initial Investment | Calculate the discount rate yielding a zero NPV for a project |
34 | Beta (β) Coefficient | Beta = Covariance(Stock Returns, Market Returns) / Variance(Market Returns) | Measure a stock's volatility compared to the market |
35 | Profitability Index (PI) | PI = PV of Inflows / PV of Outflows | Evaluate the benefits relative to the costs of an investment |
36 | Fisher Effect | (1 + Nominal Interest Rate) = (1 + Real Interest Rate) * (1 + Expected Inflation Rate) | Explain the relationship between nominal and real interest rates |
37 | Firm's Value after Merger (With Synergy) | Value = Value of Acquiring Firm + Value of Target Firm + Synergy | Calculate the combined value of two merging firms with synergy |
38 | Sustainable Growth Rate | Sustainable Growth Rate = ROE * (1 - Dividend Payout Ratio) | Estimate a company's growth rate while maintaining a financial structure |
39 | Degree of Total Leverage (DTL) | DTL = % Change in EPS / % Change in Sales | Measure the total impact of operating and financial leverage on EPS |
40 | Modified Duration | Modified Duration = Macaulay Duration / (1 + YTM) | Measure the sensitivity of a bond's price to interest rate changes |
41 | Operating Cycle | Operating Cycle = Inventory Holding Period + Receivables Collection Period | Measure the time taken to convert inventory to cash |
42 | Cash Conversion Cycle | Cash Conversion Cycle = Operating Cycle - Payables Deferral Period | Measure the time a company takes to convert inventory to cash |
43 | Optimal Capital Budget | Optimal Capital Budget = IRR of Investment / Cost of Capital | Determine the maximum investment amount with a given return |
44 | Hedging Percentage | Hedge Percentage = Hedge Value / Exposure Value | Determine the proportion of exposure that should be hedged |
45 | Worst Case Loss (Options) | Worst Case Loss = Option Premium + Maximum Loss on Underlying | Estimate the maximum loss in options trading |
46 | Equivalent Annual Annuity | EAA = NPV / PVIFA | Convert uneven cash flows into an equivalent annuity |
47 | Value at Risk (VaR) | VaR = Mean - (Z * Standard Deviation) | Estimate potential loss within a specific confidence level |
48 | Modified Internal Rate of Return (MIRR) | MIRR = ((FV of Cash Inflows / PV of Cash Outflows)^(1 / n)) - 1 | Calculate the rate of return that equalizes inflows and outflows |
49 | Receivables Turnover Ratio | Receivables Turnover Ratio = Net Credit Sales / Average Accounts Receivable | Measure the efficiency of collecting accounts receivable |
50 | Inventory Conversion Period | Inventory Conversion Period = 365 / Inventory Turnover Ratio | Measure the average time taken to sell and replace inventory |
51 | Average Collection Period | Average Collection Period = 365 / Receivables Turnover Ratio | Measure the average time taken to collect accounts receivable |
52 | Beta Unleveraged | βu = βl / (1 + (1 - Tax Rate) * (D / E)) | Measure the sensitivity of an asset's returns to the market |
53 | Beta Releveraged | βl = βu * (1 + (1 - Tax Rate) * (D / E)) | Measure the asset's risk after adjusting for leverage |
54 | Break-Even Point | Break-Even Point (in Units) = Fixed Costs / (Price per Unit - Variable Cost per Unit) | Determine the sales needed to cover all costs |
55 | Degree of Operating Leverage (DOL) at Break-Even | DOL = Q / (Q - BEP) | Measure how operating leverage affects profits at the break-even point |
56 | Sensitivity Analysis | Sensitivity = (ΔNPV / NPV) / (Δx / x) | Evaluate the impact of changes in variables on NPV |
57 | Horizontal Analysis | Horizontal Analysis = (Current Year Value - Base Year Value) / Base Year Value | Compare changes in financial data across years |
58 | Vertical Analysis | Vertical Analysis = (Item Value / Total Revenue or Total Assets) * 100 | Evaluate the proportion of an item relative to a total |
59 | Comprehensive Income | Comprehensive Income = Net Income + Other Comprehensive Income | Summarize all changes in equity except transactions with shareholders |
60 | Marginal Costing | Profit = Sales - Variable Costs - Fixed Costs | Calculate profit by subtracting variable and fixed costs from sales |
61 | Degree of Operating Leverage in Contribution Margin | Operating Leverage = Contribution Margin / Operating Profit | Measure how contribution margin affects operating leverage |
62 | Debt Service Coverage Ratio (DSCR) | DSCR = EBITDA / Total Debt Service | Measure a company's ability to meet its debt obligations |
63 | Theil's U Statistic | U = √[(Σ((X - Y)^2)) / (Σ(X^2))] | Measure the inequality in distribution among variables |
64 | Stock Turnover Ratio | Stock Turnover Ratio = Cost of Goods Sold / Average Stock | Evaluate how quickly inventory is converted into sales |
65 | Theil Index (T) | T = (U^2) / n | Measure the inequality of distribution using U Statistic |
66 | Inventory Holding Period | Inventory Holding Period = 365 / Stock Turnover Ratio | Measure the average time inventory is held before the sale |
67 | Price Earnings to Growth (PEG) Ratio | PEG Ratio = P/E Ratio / Annual Earnings Growth Rate | Evaluate a stock's value relative to its earnings growth |
68 | Payback Discounting Factor | Payback Discounting Factor = 1 / (1 + r)^t | Calculate the present value factor for the payback period |
69 | Diluted Earnings per Share (EPS) | Diluted EPS = (Net Income - Preferred Dividends) / (Weighted Average Shares + Convertible Securities) | Calculate diluted EPS accounting for potential conversions |
70 | Inflation-adjusted Return | Inflation-adjusted Return = [(1 + Real Return) * (1 + Inflation Rate)] - 1 | Adjust investment return for inflation |
71 | Defensive Interval Ratio | Defensive Interval Ratio = Cash + Marketable Securities + Receivables / Daily Operating Expenses | Measure the number of days a company can operate using liquid assets |
72 | Quick Ratio | Quick Ratio = (Cash + Marketable Securities + Receivables) / Current Liabilities | Measure a company's ability to cover short-term liabilities using quick assets |
73 | Equity Multiplier | Equity Multiplier = Total Assets / Total Equity | Measure the financial leverage of a company |
74 | Accounts Receivable Turnover Ratio | Accounts Receivable Turnover Ratio = Net Credit Sales / Average Accounts Receivable | Evaluate how quickly a company collects accounts receivable |
75 | Modified DuPont Analysis | ROE = (Net Profit Margin) * (Total Asset Turnover) * (Equity Multiplier) | Analyze Return on Equity considering various factors |
76 | Debt Ratio | Debt Ratio = Total Debt / Total Assets | Measure the proportion of assets financed by debt |
77 | Modified Total Leverage | Modified Total Leverage = Operating Leverage * (1 + (1 - Tax Rate) * (D / E)) | Measure the total impact of operating and financial leverage on EPS |
78 | Cash Ratio | Cash Ratio = (Cash + Marketable Securities) / Current Liabilities | Measure a company's ability to cover short-term liabilities using cash |
79 | Days Payable Outstanding (DPO) | DPO = (Accounts Payable / COGS) * Number of Days | Measure the average time taken to pay accounts payable |
80 | Firm's Value before Merger | Value = Value of Acquiring Firm + Value of Target Firm | Calculate the combined value of two merging firms |
81 | Inflation-adjusted Price Earnings (P/E) Ratio | Inflation-adjusted P/E Ratio = Nominal P/E Ratio / (1 + Inflation Rate) | Adjust the P/E ratio for inflation to compare valuations |
82 | Modified Internal Rate of Return (MIRR) for Uneven Cash Flows | MIRR = ((FV of Cash Inflows / PV of Cash Outflows)^(1 / n)) - 1 | Calculate IRR for uneven cash flows considering reinvestment |
83 | Effective Annual Rate (EAR) | EAR = (1 + Nominal Interest Rate / m)^m - 1 | Convert nominal interest rate to effective annual rate |
84 | Return on Common Equity (ROCE) | ROCE = EBIT / (Total Assets - Total Current Liabilities) | Measure return on equity considering non-operating items |
85 | Return on Investment (ROI) for Uneven Cash Flows | ROI = (Cumulative Cash Flow / Initial Investment) * 100 | Measure profitability for uneven cash flow investments |
86 | Earnings Before Interest, Taxes, Depreciation, and Amortization (EBITDA) | EBITDA = EBIT + Depreciation + Amortization | Measure a company's operating performance without non-operating expenses |
87 | Weighted Harmonic Mean | Weighted Harmonic Mean = n / Σ (wi / xi) | Calculate a weighted average using the harmonic mean |
88 | Dividend Discount Model (DDM) with Constant Growth Rate | P0 = D1 / (Ke - g) | Estimate stock's value with stable dividends |
89 | Return on Equity (ROE) with Leverage | ROE = ROA + (ROA - r) * (D / E) | Measure return on equity considering leverage |
90 | Effective Interest Rate for Discounting | Effective Interest Rate = (1 + Nominal Interest Rate / n)^n - 1 | Calculate the annual effective rate for discounting |
91 | Capital Asset Pricing Model (CAPM) for Expected Return | Expected Return = Rf + β * (Rm - Rf) | Estimate the expected return on a security |
92 | Weighted Average Cost of Capital (WACC) for Leveraged Firm | WACC = (E / V) * Re + (D / V) * Rd * (1 - Tax Rate) | Calculate the cost of capital considering the financing mix |
93 | DuPont Analysis Expanded Formula | ROE = (Net Profit Margin) * (Total Asset Turnover) * (Equity Multiplier) | Analyze Return on Equity considering various factors |
94 | Modified Internal Rate of Return (MIRR) for Even Cash Flows | MIRR = ((FV of Cash Inflows / PV of Cash Outflows)^(1 / n)) - 1 | Calculate IRR for even cash flows considering reinvestment |
95 | Receivables Turnover Ratio | Receivables Turnover Ratio = Net Credit Sales / Average Accounts Receivable | Measure the efficiency of collecting accounts receivable |
96 | Inventory Conversion Period | Inventory Conversion Period = 365 / Inventory Turnover Ratio | Measure the average time taken to sell and replace inventory |
97 | Average Collection Period | Average Collection Period = 365 / Receivables Turnover Ratio | Measure the average time taken to collect accounts receivable |
98 | Beta Unleveraged | βu = βl / (1 + (1 - Tax Rate) * (D / E)) | Measure the sensitivity of an asset's returns to the market |
99 | Beta Releveraged | βl = βu * (1 + (1 - Tax Rate) * (D / E)) | Measure the asset's risk after adjusting for leverage |
100 | Break-Even Point | Break-Even Point (in Units) = Fixed Costs / (Price per Unit - Variable Cost per Unit) | Determine the sales needed to cover all costs |
These explanations should help you understand the meaning and purpose of each formula along with how to use them practically. Remember that these formulas are tools to aid decision-making and financial analysis. It's important to practice their applications to become more proficient in using them effectively in real-world scenarios.
all 100 formulas to help illustrate their practical applications. Please note that the values used in the examples are for explanatory purposes and may not reflect real-world accuracy.
Formula # | Formula Name | Example in INR | Explanation and Practical Use |
---|---|---|---|
1 | Return on Investment (ROI) | ROI = (500,000 / 1,000,000) * 100 | An investment earned a 50% return on a 1,000,000 INR investment. |
2 | Net Present Value (NPV) | NPV = Σ [CFt / (1 + 0.1)^t] - 1,000,000 | A project's cash flows sum up to 1,500,000 INR over 3 years. |
3 | Payback Period | Payback Period = 1,000,000 / 400,000 | An investment of 1,000,000 INR will be recovered in 2.5 years. |
4 | Cost of Capital | Cost of Capital = (0.4 + 0.6) / 1.0 | A company's cost of capital considering equity and debt financing. |
5 | Weighted Average Cost of Capital (WACC) | WACC = (0.6 * 0.12) + (0.4 * 0.08 * 0.6) | Calculate the average cost of financing for a project. |
6 | Capital Asset Pricing Model (CAPM) | Re = 0.06 + 1.2 * (0.1 - 0.06) | Estimate the expected return on a risky investment. |
7 | Dividend Discount Model (DDM) | P0 = 5 / (0.12 - 0.06) | Determine the value of a stock with stable dividends. |
8 | Economic Order Quantity (EOQ) | EOQ = √[(2 * 5,000 * 200) / 0.25] | Optimize order quantity for inventory management. |
9 | Working Capital Turnover Ratio | Working Capital Turnover = 1,000,000 / 500,000 | Evaluate the efficiency of working capital utilization. |
10 | Days Sales Outstanding (DSO) | DSO = (200,000 / 1,000,000) * 365 | Measure the average time taken to collect receivables. |
11 | Interest Coverage Ratio | Interest Coverage Ratio = 400,000 / 100,000 | Measure a company's ability to meet its interest obligations. |
12 | Inventory Turnover Ratio | Inventory Turnover Ratio = 600,000 / 120,000 | Evaluate how frequently inventory is sold and replaced. |
13 | Return on Assets (ROA) | ROA = 100,000 / 800,000 | Measure the profitability of a company's assets. |
14 | DuPont Analysis | ROE = (0.15) * (0.8) * (1.5) | Analyze the components affecting Return on Equity. |
15 | Gross Profit Margin | Gross Profit Margin = (200,000 / 600,000) * 100 | Evaluate the percentage of sales retained as gross profit. |
16 | Operating Profit Margin | Operating Profit Margin = (150,000 / 600,000) * 100 | Measure the percentage of sales retained as operating profit. |
17 | Net Profit Margin | Net Profit Margin = (100,000 / 600,000) * 100 | Assess the percentage of sales retained as net profit. |
18 | Current Ratio | Current Ratio = 300,000 / 100,000 | Measure a company's ability to cover short-term liabilities. |
19 | Quick Ratio (Acid-Test Ratio) | Quick Ratio = (300,000 - 120,000) / 100,000 | Evaluate liquidity by excluding slow-moving inventory. |
20 | Debt Equity Ratio | Debt Equity Ratio = 200,000 / 500,000 | Assess the proportion of external funds used for financing. |
21 | Times Interest Earned (TIE) Ratio | TIE Ratio = 250,000 / 50,000 | Evaluate a company's ability to meet its interest obligations. |
22 | Operating Leverage | Operating Leverage = 300,000 / 150,000 | Measure the impact of fixed costs on operating income. |
23 | Financial Leverage | Financial Leverage = 800,000 / 500,000 | Measure the proportion of equity financing in a company. |
24 | Combined Leverage | Combined Leverage = 1.5 * 1.6 | Measure the total impact of fixed and financial leverage. |
25 | Degree of Operating Leverage (DOL) | DOL = 0.3 / 0.2 | Measure how operating leverage affects changes in EBIT. |
26 | Degree of Financial Leverage (DFL) | DFL = 0.2 / 0.3 | Measure how financial leverage affects changes in EPS. |
27 | Degree of Combined Leverage (DCL) | DCL = 0.2 / 0.2 | Measure how total leverage affects changes in EPS. |
28 | Black-Scholes Option Pricing Model | Option Price = 50 * 0.6 - 40 * 0.8 * e^(-0.1 * 1) | Calculate the theoretical price of a European option. |
29 | Capital Structure Theories (Modigliani-Miller Theorems) | Proposition I: 600,000 * (1 - 0.3) / 0.15 | Discuss theories on capital structure and value. |
30 | Dividend Payout Ratio | Dividend Payout Ratio = 100,000 / 150,000 | Measure the proportion of earnings distributed as dividends. |
31 | Dividend Yield | Dividend Yield = 3 / 60 * 100 | Measure the return on investment from dividends. |
32 | Price Earnings (P/E) Ratio | P/E Ratio = 60 / 6 | Evaluate the price investors are willing to pay for earnings. |
33 | Internal Rate of Return (IRR) | NPV = Σ [CFt / (1 + IRR)^t] - 500,000 | Calculate the discount rate yielding a zero NPV for a project. |
34 | Beta (β) Coefficient | Beta = 0.6 / 0.2 | Measure a stock's volatility compared to the market. |
35 | Profitability Index (PI) | PI = 1,200,000 / 1,000,000 | Evaluate the benefits relative to the costs of an investment. |
36 | Fisher Effect | (1 + 0.08) = (1 + 0.06) * (1 + 0.02) | Explain the relationship between nominal and real interest rates. |
37 | Firm's Value after Merger (With Synergy) | Value = 2,000,000 + 1,500,000 + 500,000 | Calculate the combined value of two merging firms with synergy. |
38 | Sustainable Growth Rate | Sustainable Growth Rate = 0.15 * (1 - 0.4) | Estimate a company's growth rate while maintaining financial structure. |
39 | Degree of Total Leverage (DTL) | DTL = 0.3 / 0.2 | Measure the total impact of operating and financial leverage on EPS. |
40 | Modified Duration | Modified Duration = 5 / (1 + 0.08) | Measure the sensitivity of a bond's price to interest rate changes. |
41 | Operating Cycle | Operating Cycle = 40 + 30 | Measure the time taken to convert inventory to cash. |
42 | Cash Conversion Cycle | Cash Conversion Cycle = 70 - 20 | Measure the time a company takes to convert inventory to cash. |
43 | Optimal Capital Budget | Optimal Capital Budget = 0.15 / 0.1 | Determine the maximum investment amount with a given return. |
44 | Hedging Percentage | Hedge Percentage = 50,000 / 100,000 | Determine the proportion of exposure that should be hedged. |
45 | Worst Case Loss (Options) | Worst Case Loss = 2,000 + 3,000 | Estimate the maximum loss in options trading. |
46 | Equivalent Annual Annuity | EAA = 500,000 / 3.3522 | Convert uneven cash flows into an equivalent annuity. |
47 | Value at Risk (VaR) | VaR = 1,000 - 1.645 * 200 | Estimate potential loss within a specific confidence level. |
48 | Modified Internal Rate of Return (MIRR) | MIRR = ((1,500,000 / 1,000,000)^(1 / 3)) - 1 | Calculate the rate of return that equalizes inflows and outflows. |
49 | Receivables Turnover Ratio | Receivables Turnover Ratio = 1,200,000 / 300,000 | Measure the efficiency of collecting accounts receivable. |
50 | Inventory Conversion Period | Inventory Conversion Period = 365 / 5 | Measure the average time taken to sell and replace inventory. |
51 | Average Collection Period | Average Collection Period = 365 / 6 | Measure the average time taken to collect accounts receivable. |
52 | Beta Unleveraged | βu = 0.8 / (1 + (1 - 0.3) * (500,000 / 1,000,000)) | Measure the sensitivity of an asset's returns to the market. |
53 | Beta Releveraged | βl = 0.6 * (1 + (1 - 0.3) * (500,000 / 1,000,000)) | Measure the asset's risk after adjusting for leverage. |
54 | Break-Even Point | Break-Even Point (in Units) = 200,000 / (10 - 5) | Determine the sales needed to cover all costs. |
55 | Degree of Operating Leverage (DOL) at Break-Even | DOL = 300,000 / (300,000 - 200,000) | Measure how operating leverage affects profits at the break-even point. |
56 | Sensitivity Analysis | Sensitivity = (50,000 / 1,000,000) / (0.1 / 0.12) | Evaluate the impact of changes in variables on NPV. |
57 | Horizontal Analysis | Horizontal Analysis = (600,000 - 500,000) / 500,000 | Compare changes in financial data across years. |
58 | Vertical Analysis | Vertical Analysis = (100,000 / 600,000) * 100 | Evaluate the proportion of an item relative to a total. |
59 | Comprehensive Income | Comprehensive Income = 150,000 + 10,000 | Summarize all changes in equity except transactions with shareholders. |
60 | Marginal Costing | Profit = 200,000 - 100,000 - 50,000 | Calculate profit by subtracting variable and fixed costs from sales. |
61 | Degree of Operating Leverage in Contribution Margin | Operating Leverage = 0.4 / 0.2 | Measure how contribution margin affects operating leverage. |
62 | Debt Service Coverage Ratio (DSCR) | DSCR = 180,000 / 50,000 | Measure a company's ability to meet its debt obligations. |
63 | Theil's U Statistic | U = √[(100^2 + 200^2 + 300^2) / (100^2)] | Measure the inequality in distribution among variables. |
64 | Stock Turnover Ratio | Stock Turnover Ratio = 800,000 / 100,000 | Evaluate how quickly inventory is converted into sales. |
65 | Theil Index (T) | T = (1 + 9 + 25) / 3 | Measure the inequality of distribution using U Statistic. |
66 | Inventory Holding Period | Inventory Holding Period = 365 / 8 | Measure the average time inventory is held before the sale. |
67 | Price Earnings to Growth (PEG) Ratio | PEG Ratio = 20 / 0.12 | Evaluate a stock's value relative to its earnings growth. |
68 | Payback Discounting Factor | Payback Discounting Factor = 1 / (1 + 0.1)^3 | Calculate the present value factor for the payback period. |
69 | Diluted Earnings per Share (EPS) | Diluted EPS = (100,000 - 5,000) / (50,000 + 2,000) | Calculate diluted EPS accounting for potential conversions. |
70 | Inflation-adjusted Return | Inflation-adjusted Return = [(1 + 0.08) * (1 + 0.06)] - 1 | Adjust investment return for inflation. |
71 | Defensive Interval Ratio | Defensive Interval Ratio = (50,000 + 10,000 + 40,000) / 10,000 | Measure the number of days a company can operate using liquid assets. |
72 | Quick Ratio | Quick Ratio = (50,000 + 10,000 + 40,000) / 30,000 | Measure a company's ability to cover short-term liabilities using quick assets. |
73 | Equity Multiplier | Equity Multiplier = 300,000 / 200,000 | Measure the financial leverage of a company. |
74 | Accounts Receivable Turnover Ratio | Accounts Receivable Turnover Ratio = 1,200,000 / 300,000 | Evaluate how quickly a company collects accounts receivable. |
75 | Modified DuPont Analysis | ROE = (0.15) * (0.8) * (1.5) | Analyze Return on Equity considering various factors. |
76 | Debt Ratio | Debt Ratio = 200,000 / 500,000 | Measure the proportion of assets financed by debt. |
77 | Modified Total Leverage | Modified Total Leverage = 0.4 * (1 + (1 - 0.3) * (300,000 / 200,000)) | Measure total impact of operating and financial leverage on EPS. |
78 | Cash Ratio | Cash Ratio = (50,000 + 10,000) / 30,000 | Measure a company's ability to cover short-term liabilities using cash. |
79 | Days Payable Outstanding (DPO) | DPO = (30,000 / 400,000) * 365 | Measure the average time taken to pay accounts payable. |
80 | Firm's Value Before Merger | Value = 2,000,000 + 1,500,000 | Calculate the combined value of two merging firms. |
81 | Inflation-adjusted Price Earnings (P/E) Ratio | Inflation-adjusted P/E Ratio = 15 / (1 + 0.06) | Adjust P/E ratio for inflation to compare valuations. |
82 | Modified Internal Rate of Return (MIRR) for Uneven Cash Flows | MIRR = ((1,500,000 / 1,000,000)^(1 / 3)) - 1 | Calculate IRR for uneven cash flows considering reinvestment. |
83 | Effective Annual Rate (EAR) | EAR = (1 + 0.1 / 2)^2 - 1 | Convert nominal interest rate to effective annual rate. |
84 | Return on Common Equity (ROCE) | ROCE = 80,000 / (600,000 - 100,000) | Measure return on equity considering non-operating items. |
85 | Return on Investment (ROI) for Uneven Cash Flows | ROI = (400,000 / 600,000) * 100 | Measure profitability for uneven cash flow investments. |
86 | Earnings Before Interest, Taxes, Depreciation, and Amortization (EBITDA) | EBITDA = 150,000 + 20,000 + 10,000 | Measure a company's operating performance without non-operating expenses. |
87 | Weighted Harmonic Mean | Weighted Harmonic Mean = 3 / [(0.2 / 1) + (0.3 / 2) + (0.5 / 3)] | Calculate a weighted average using harmonic mean. |
88 | Dividend Discount Model (DDM) with Constant Growth Rate | P0 = 2 / (0.12 - 0.06) | Estimate stock's value with stable dividends. |
89 | Return on Equity (ROE) with Leverage | ROE = 0.2 + (0.2 - 0.1) * (300,000 / 200,000) | Measure return on equity considering leverage. |
90 | Effective Interest Rate for Discounting | Effective Interest Rate = (1 + 0.1 / 4)^4 - 1 | Calculate the annual effective rate for discounting. |
91 | Capital Asset Pricing Model (CAPM) for Expected Return | Expected Return = 0.05 + 1.2 * (0.1 - 0.05) | Estimate the expected return on a security. |
92 | Weighted Average Cost of Capital (WACC) for Leveraged Firm | WACC = (0.4 * 0.12) + (0.6 * 0.08 * (1 - 0.3)) | Calculate the cost of capital considering the financing mix. |
93 | DuPont Analysis Expanded Formula | ROE = (0.15) * (0.8) * (1.5) | Analyze Return on Equity considering various factors. |
94 | Modified Internal Rate of Return (MIRR) for Even Cash Flows | MIRR = ((1,500,000 / 1,000,000)^(1 / 3)) - 1 | Calculate IRR for even cash flows considering reinvestment. |
95 | Receivables Turnover Ratio | Receivables Turnover Ratio = 1,200,000 / 300,000 | Measure the efficiency of collecting accounts receivable. |
96 | Inventory Conversion Period | Inventory Conversion Period = 365 / 5 | Measure the average time taken to sell and replace inventory. |
97 | Average Collection Period | Average Collection Period = 365 / 6 | Measure the average time taken to collect accounts receivable. |
98 | Beta Unleveraged | βu = 0.8 / (1 + (1 - 0.3) * (500,000 / 1,000,000)) | Measure the sensitivity of an asset's returns to the market. |
99 | Beta Releveraged | βl = 0.6 * (1 + (1 - 0.3) * (500,000 / 1,000,000)) | Measure the asset's risk after adjusting for leverage. |
100 | Break-Even Point | Break-Even Point (in Units) = 200,000 / (10 - 5) | Determine the sales needed to cover all costs. |
These examples may provide you with a better understanding of how each formula works in practice, using Indian Rupees as the context. Keep in mind that these are simplified examples and real-world scenarios may involve more complex calculations and variables.
Please note that the above formulas are provided for reference and understanding. Make sure to practice and apply these formulas to various scenarios in order to strengthen your grasp of Strategic Financial Management (SFM) concepts for the CMA Final examination.
Conclusion:
Mastery of Strategic Financial Management formulas is essential for CMA Final aspirants. These 100 formulas stand as pillars in SFM concepts, aiding in astute financial choices. By grasping their practical significance, you'll adeptly evaluate investments, scrutinize project feasibility, and manage risks proficiently. Through continuous practice and application, these formulas transform into powerful tools for real-world scenarios. Wishing you joyful learning and success on your CMA journey!
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