The Art of Mathematics in Business
Analyzing Facts and Figures for Smart Business Decisions
Paper: 978 1 906403 32 4
Price: $45.00  

Publisher: Global Professional Publishing
April 2009 , 416 pp., 6 1/8" x 9 1/4"
worked examples
This book is a comprehensive, one-stop desk reference for managers and owners of small businesses who must use quantitative calculations to make daily operating and investing decisions. Its purpose is to provide the fundamentals of business math techniques that can be quickly applied to real-word problems. This unique resource will save countless hours of research time by making sound financial planning truly easy. It provides analyses as well as clear and understandable explanations of complex small business problems. Basic mathematical techniques are presented in a step-by-step fashion that takes the reader through each stage of the problem-solving process. The examples in this book provide an invaluable and effective operating tool. This book also contains user-friendly personal computer techniques. The examples enable the businessperson to measure results and to report the data in an easy-to-understand format.

Table of Contents:
Preface; Acknowledgments; PART 1 EVALUATING THE COST OF BANK LOANS, BUSINESS LOANS, TRADE CREDIT, AND OTHER FINANCING: 1) Understanding Simple Interest; 2) Read (Effective) Interest Rate; 3) The Cost of Credit: Annual Percentage Rate; 4) Calculating Due Dates; 5) Promissory Notes and Bank Discounts; 6) Trade Credit; 7) Receivables and Inventory Financing; 8) Estimating the Cost of Debt and Equity Financing; PART 2 BUDGETING AND PROFIT PLANNING: 9) Establishing a Budgeting System for Profit Planning; 10) What is the Cost Structure?; 11) Using Budgeting to Control Cash; 12) Forecasting Cash Collections; 13) “What-If” Analysis; 14) Budget Accuracy Ratios; PART 3 BUSINESS FORECASTING METHODS: 15) Projecting Financing Needs; 16) Naïve Forecasting Models; 17) Moving Averages; 18) Exponential Smoothing; 19) Regression Analysis; 20) Regression Statistics; 21) Simple Regression; 22) Trend Equation; 23) Decomposition of Time Series; 24) Measuring Accuracy of Forecasts; 25) Costs of Prediction Errors; 26) Chi Square Test; PART 4 MANAGING CASH AND RECEIVABLES: 27) Cash Flow Statement; 28) Using Float; 29) Using a Lockbox to Get Money Sooner; 30) Bank Reconciliation; 31) Putting Excess Cash to Work; 32) What is the Equivalent Tax Yield? 33) Determining the Optimal Cash; 34) Cash Ratio; 35) Cash Flow from Operations; 36) Cash Forecasting; 37) Accounts Receivable Rations; 38) Managing Accounts Receivable; PART 5 CONTROLLING INVENTORY: 39) Inventory Rations; 40) How Much to Order (Economic Order Quantity) and When to Order (Reorder Point); 41) Calculating Quantity Discounts (EOQ with Quantity Discounts); 42) Determining Production Run Size; 43) Allowing for Safety Stock; 44) Calculating Inventory Dollar Burden; 45) Using the ABC System for Inventory Control; PART 6 BUYING ANDSELLING PRODUCTS AND SERVICES: 46) Sales Rations; 47) How Good is the Merchandise?; 48) Factoring In Trade Discounts; 49) Calculating Cash Discounts; 50) Single Equivalent Discount and Chain Discount; 51) Markup Calculations; 52) Cost as a Basis; 53) Commission Computation; 54) Cost-Volume-Profit Analysis; 55) Contribution Margin Analysis; 56) How Does Product Demand React to a Price Change? PART 7 PUTTING MONEY TO WORK: 57) Figuring the Risk-Return Trade-Off; 58) Opportunity Cost; 59) How Many Years Does It Take to Get Your Money Back (Payback Period)? 60) How Do You Calculate Future Values? How Money Grows? 61) Determining Annual Deposits (Sinking Funds); 62) Determining the Number of Periods Required; 63) Rules of 69 and 72; 64) Computing Interest Rate; 65) How to Calculate After-Tax Cash Flows; 66) What is Present Value? How Much is Money Worth Now? 67) Calculating Loan Payments; 68) Ranking Proposals and Projects; 69) Determining Internal Rate of Return (Time-Adjusted Rate of Return); 70) Capitalization Rate; 71) Gross Income Multiplier; 72) Net Income Multiplier; PART 8 SCHEDULING, PLANNING, AND EFFICIENCY MEASURES: 73) How Are Your Assets Operating? 74) Repairs and Maintenance Ratios; 75) Maintenance and Repair Index; 76) Utilization of Space; 77) Efficiency Measurements; 78) Direct Costs-to-Sales Ratios; PART 9 PREPARING FINANCIAL STATEMENTS AND CHARTS: 79) Balance Sheets Basics; 80) Profit and Loss Statement; 81) Ratios, Proportions and Percentages; 82) Charts and Graphs; PART 10 HOW HEALTHY IS THE BUSINESS? 83) Comparing Acounts over th Years (Horizontal Analysis); 84) Comparing Accounts Within the Current Year; 85) How to Use Index Numbers; 86) Growth Rate; 87) Current Ratio; 88) Quick (Acid Test) Ratio; 89) Operating Cycle; 90) Are Your Defensive Assets Sufficient? 91) Working Capital; 92) Liquidity Index; 93) Assessing Asset Utilization (Turnover); 94) Fixed-Asset Ratios; 95) Noncurrent Assets to Noncurrent Liabilities; 96) Accounts Payable Ratios; 97) Current Liability Ratios; 98) How Much Debt Do You Have, and Can You Pay It? 99) What Obligations are Passing? 100) Ratios of Off-Balance-Sheet Assets and Liabilities; 101) Earning Growth; 102) Profit Margin; 103) Sales to Current Assets; 104) Sales to Current Debt; 105) Analysis of Expenses; 106) Can You Cover Interest Payments? 107) Operating Leverage; 108) Fixed-Charge Coverage; 109) Is Your Funds Flow Adequate? 110) Discretionary Cost Ratios; 11) “Z-Score” Model: Forecasting Business Failure; PART 11 MEASURING BUSINESS PERFORMANCE: 112) Choosing Profitability Goals; 113) Simple (Accounting) Rate of Return; 114) Return on Total Assets; 115) Residual Income; 116) Flexible-Budget Variance; 117) Variance Between Actual Sales and Budgeted Sales; 118) Variance Between Actual Costs and Budgeted Costs; 119) Price Variance; 120) Quantity Variance; 121) Salesperson Variances; 122) Warehouse Cost Variance; 123) Incremental Cost and Incremental Revenue; PART 12 AVERAGES, EXPECTATIONS, AND VARIABILITY IN BUSINESS ACTIVITIES: 124) Averages (means): Simple and Weighted; 125) Median and Mode; 126) Expected Value and Standard Deviation; 127) Coefficient of Variation; 128) Normal Distribution; PART 13 ADEQUACY AND COST OF INSURANCE COVERAGE: 129) Determining How Much Insurance is Needed; 130) Factoring in Coinsurance and Copayment; 131) Evaluating Insurance Risk; 132) Estimating the Value of a Claim; PART 14 HIRING AND COMPENSATING EMPLOYEES: 133) Permutations and Combinations; 134) Sizing Up Human Resource Needs; 135) Calculating the Cost of a Fringe Benefits Program; 136) Determining Profit-Sharing Bonus; 137) Employee Efficiency; PART 15 BUYING OR SELLING A BUSINESS: 138) Determining How Much Your Business is Worth; 139) Valuing a Franchise; APPENDIX: Table 1: The Future Value of $1 (Compound Amount of $1) = T, (I, n); Table 2: The Future Value of an Annuity of $1 (Compound Amount of an Annuity of $1) = T2 (I, n); table 3: The Present Value of $1 = T3 (I, n); Table 4: The Present Value of an Annuity of $1 = T4 (I, n); Table 5: Monthly Installment Loan Payment; Table 6: Area in the Right Tail of Chi Square Distribution; Table 7: Normal Distribution table: Area Under the Normal Curve; Table 8: t-Distribution Table: Value of t; Glossary; Index.


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"The entries are well written and understandable... For each technique or calculation, Shim provides excellent application examples and suggestions for computer programs that can assist in the computations. Business practitioners, students, and others interested in learning about quantitative techniques for busienss will find this a useful reference."
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