Financial calculator

Future value of a single sum

Present value of a single sum

Future value of an ordinary annuity

Future value of an annuity due

Present value of an ordinary annuity

Present value of an annuity due

Present value of perpetuities

Time required to double a single amount

Time required for the population to double itself

Time required for the population to halve itself

Discounting securities

Net present value (NPV) and internal rate of return (IRR)

Bonds valuation

Common stock valuation

Share options valuation by using Black-Scholes model

Capital asset pricing model (CAPM)

Weighted average cost of capital (WACC)

Percents and permils

Percentage amount at given principal and percent rate

Permil amount at given principal and permil rate

Principal at given percentage amount and percent rate

Principal at given permil amount and permil rate

Percent rate at given principal and percentage amount

Permil rate at given principal and permil amount

Calculating depreciation

Straight-line depreciation method

Activity based depreciation method

Decreasing-charge depreciation method

Accounting for finance leases

For lessee

For lessor - sales-type

For lessor - direct-financing type

Financial analysis (calculations)

COMPREHENSIVE RATIO REVIEW

1. Liquidity ratios

1.1. Current ratio

1.2. Acid-test (quick) ratio

1.3. Working capital

2. Activity ratios

2.1. Accounts receivable turnover ratio

2.2. Average collection period for accounts receivable

2.3. Inventory turnover ratio

2.4. Average days in stock

2.5. Fixed assets turnover ratio

2.6. Total assets turnover ratio

2.7. Average days in total assets

3. Debt ratios

3.1. Debt ratio

3.2. Long-term debt ratio

3.3. Long-term financial stability

4. Profitability ratios

4.1. Gross profit margin

4.2. Net profit margin

4.3. Return on investments - ROI

4.4. Return on common equity - ROCE

5. Predicting financial distress of companies

Price elasticity of demand

1. Linear dependence (y = axi + b)

2. Quadratic (parabolic, polinomial) dependence

2.1. type (y = axixi + bxi + c)

2.2. type (y = axixi + b)

2.3. type (y = axixi + bxi)

3. Logarithmic dependence

3.1. type (y = a log xi + b) - Briggsian logarithms (base 10)

3.2. type (y = a ln xi + b) - Natural logarithms (base e)

4. Exponential dependence (log y = log b + xi log a)

5. Hyperbolic dependence

5.1. type (y = a / xi)

5.2. type (y = a/xi + b)

5.3. type (y = 1 / (axi + b))

Note: Choose the type of functional dependence between demand (dependent variable) and price (independent variable). Function is represented with analytical expression giving the best approximation for a given data series, according to the chosen dependence model. Function is determined by using the method of least squares. Model of dependence should be chosen by using graphical representation of data in rectangular coordinate system (x,y).

Statistics

1. Discrete Probability Distributions

1.1. The Binomial Distribution

1.2. The Poisson Distribution

2. Continuous Probability Distributions

2.1. The Standard Normal Distribution (Z - Statistics)

2.2. The Student t - Distribution

2.3. The Chi - square Distribution

2.4. The F Distribution

3. Statistical inference

3.1. Mean, variance, standard deviation

3.2. Confidence intervals for the population mean when the population standard deviation is known

3.3. Confidence intervals for the population variance

3.4. Hypothesis testing-Large sample test for the population mean

3.5. Hypothesis testing about the population variance

3.6. Confidence intervals for the population mean when the population standard deviation is unknown

3.7. Hypothesis testing-Small sample test for the population mean

3.8. Large-sample confidence intervals for the population proportion

3.9. Hypothesis testing-Large sample test for the population proportion

3.10. Large-sample confidence intervals for the population mean-finite population

3.11. Large-sample confidence intervals for the population proportion-finite population

3.12. Simple linear regression and correlation

3.13. Multiple regression (two independent variables)

3.14. Quadratic polynomial regression model of second degree in one variable

3.15 Logarithmic regression model

Statistical modelling

1. Linear dependence (y = axi + b)

2. Quadratic (parabolic, polinomial) dependence

2.1.type (y = axixi + bxi + c)

2.2. type (y = axixi + b)

2.3. type (y = axixi + bxi)

3. Logarithmic dependence

3.1. type (y = a log xi + b) - Briggsian logarithms (base 10)

3.2. type (y = a ln xi + b) - Natural logarithms (base e)

4. Exponential dependence (log y = log b + xi log a)

5. Hyperbolic dependence

5.1. type (y = a / xi)

5.2. type (y = a/xi + b)

5.3. type (y = 1 / (axi + b))

Note: Analytical expression represents the best approximation (fit) for a given data series, according to the chosen dependence model. Function is determined by using the method of least squares. Model of dependence should be chosen by using graphical representation of data in rectangular coordinate system (x, y).

Calculus

1. Derivatives and differentials of functions

1.1. Linear functions (y = axi + b)

1.2. Quadratic (parabolic, polinomial) functions

1.2.1. type (y = axixi + bxi + c)

1.2.2. type (y = axixi + b)

1.2.3. type (y = axixi + bxi)

1.3. Logarithmic functions

1.3.1. type (y = a log xi + b) - Briggsian logarithms (base 10)

1.3.2. type (y = a ln xi + b) - Natural logarithms (base e)

1.4. Exponential functions (y=ae^(bx))

1.5. Hyperbolic functions

1.5.1. type (y = a / xi)

1.5.2. type (y = a/xi + b)

1.5.3. type (y = 1 / (axi + b))

Note: Determine the first and second derivatives and differentials of the functions above mentioned, as well as the value of function for the chosen variable x.

2. Evaluating definite integrals of functions

2.1. Linear functions (y = axi + b)

2.2. Quadratic (parabolic, polinomial) functions

2.2.1. type (y = axixi + bxi + c)

2.2.2. type (y = axixi + b)

2.2.3. type (y = axixi + bxi)

2.3. Logarithmic functions

2.3.1. type (y = a log xi + b) - Briggsian logarithms (base 10)

2.3.2. type (y = a ln xi + b) - Natural logarithms (base e)

2.4. Exponential functions (y=ae^(bx))

2.5. Hyperbolic functions

2.5.1. type (y = a / xi)

2.5.2. type (y = a/xi + b)

2.5.3. type (y = 1 / (axi + b))

Note: Evaluate definite integrals of the functions above mentioned.

Exponential models

1. Exponential model

1.1. Time is unknown variable

1.2. Population value is unknown variable

2. Bounded exponential model

2.1. Time is unknown variable

2.2. Population value is unknown variable

3. Logistic model

3.1. Time is unknown variable

3.2. Population value is unknown variable

Logarithms

1. Logarithms

2. Antilogarithms

Solving linear equations

1. Linear equation involving one unknown variable

2. System of linear equations - two unknown variables

3. System of linear equations - three unknown variables

4. System of linear equations - four unknown variables

5. System of linear equations - five unknown variables

Amortization of loans with equal ordinary annuities and annual compounding period

1. Amortization of loan with equal annual ordinary annuities

2. Amortization of loan with equal semiannual ordinary annuities

3. Amortization of loan with equal quarterly ordinary annuities

4. Amortization of loan with equal monthly ordinary annuities

Personal Income Taxes Calculation

1. Based on the net payment

1.1. Job Order Incomes

1.2. Employee's allowances and other personal incomes

1.3. Rental Incomes (Recognized costs - 25%)

1.4. Rental Incomes (Recognized costs - 30%)

1.5. Dividends

1.6. Copyrights (Recognized costs - 50%)

1.7. Copyrights (Recognized costs - 60%)

1.8. Copyrights (Recognized costs - 30%)

1.9. Copyrights (Recognized costs - 25%)

1.10. Other Incomes

2. Based on the gross payment

2.1. Job Order Incomes

2.2. Employee's allowances and other personal incomes

2.3. Rental Incomes (Recognized costs - 25%)

2.4. Rental Incomes (Recognized costs - 30%)

2.5. Dividends

2.6. Copyrights (Recognized costs - 50%)

2.7. Copyrights (Recognized costs - 60%)

2.8. Copyrights (Recognized costs - 30%)

2.9. Copyrights (Recognized costs - 25%)

2.10. Other Incomes

Exchange rates, accounts, indexes and legal deafult interest

1. Exchange rates (denars)

2. Statistics of exchange rates (denars)

3. EURO Exchange rates

4. Statistics of euro exchange rates

5. National Bank discount rate

6. Inflation rates

7. Retail and consumer prices

8. Legal default interest calculation

9. Taxes - interest for delay

10. Chart of accounts

11. Reclassification from old to new account 2011

Salaries and allowances

1. Salary calculation

1.1. Salary calculation in 2011

1.2. Salary calculation in 2010

1.3. Salary calculation in 2009

2. Employee allowances

3. Contribution bases

4. Personal income tax exemption

5. Fuel prices in Macedonia

6. Shortest distances in Macedonia

Annual forms preparation and control

1. Accounts reclassification 2011

2. From trial balance to income statement

3. From trial balance to financial position

4. From trial balance to comprehensive income

5. Statement of financial position - control

6. Income statement - control

7. Statement of comprehensive income - control

Entertainment

1. Draw poker

2. Roulette

3. Dice poker

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