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Contents

Preface

Acknowledgments

Part 1 Evaluating the Cost of Bank Loans, Business Loans, Trade Credit, and Other Financing

1.Understanding Simple Interest

2.Real (Effective) Interest Rate

3.The Cost of Credit: Annual Percentage Rate

Discount method

Installment Loans

4.Calculating Due Dates

5.Promissory Notes and Bank Discounts

6.Trade Credit

7.Receivables and Inventory Financing

1Receivable Financing

Factoring of Accounts Receivable

Assignment of Accounts Receivable

2Inventory Financing

8.Estimating the Cost of Debt and Equity Financing

Part 2 Budgeting and Profit Planning

9.Establishing a Budgeting System for Profit Planning

Monthly Cash Collections from Customers

Inventory Purchases – Merchandising Firm

The Ending Finished Goods Inventory Budget

The Selling and Administrative Expense Budget

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.Naive 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

Monitoring forecasts

25.Cost of Prediction Errors

26.χ2 (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 Ratios

35.Cash Flow from Operations

36.Cash Forecasting

37.Accounts Receivable Ratios

38.Managing Accounts Receivable

Investment in Accounts Receivable

Relaxation of Credit Standards

Part 5 Controlling Inventory

39.Inventory Ratios

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 and Selling Products and Services

46.Sales Ratios

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

1.Breakeven Point

Sales Mix

2.Margin of Safety

3.Cash Breakeven Point

55.Contribution Margin Analysis

Accepting or Rejecting a Special Order

Analyzing the Make-or-Buy Decision

Determining Whether to Sell or Process Further

Adding or Dropping a Product Line

Utilizing Scarce Resources

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)

Internal Rate of Return Where Unequal Cash Inflows Exist

Internal Rate of Return Where Equal Cash Inflows Exist

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 Sheet Basics

80.Profit and Loss Statement

81.Ratios, Proportions, and Percentages

82.Charts and Graphs

Part 10 How Healthy is the Business?

83.Comparing Accounts over the 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 Pressing?

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

111.“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) = T1 (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 a Chi-Square (χ2) Distribution

Table 7: Normal distribution table: Area under the normal curve

Table 8: t-Distribution Table: Value of t

Glossary

Index

The Art of Mathematics in Business

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