Financial Calculations for Fun and Profit

Financial calculations are essential in personal finance, business, and investment decisions. Here are some common financial calculations:

1. Interest Calculations

a. Simple Interest

$\text{Simple Interest (SI)} = P \times r \times t$

$(P): Principal amount$
$(r): Annual interest rate (decimal)$
$(t): Time in years$

    // 1. Simple Interest
    public static double calculateSimpleInterest(double principal, 
                                                 double rate, double time) {
        return principal * rate * time;
    }

b. Compound Interest

$\text{Compound Interest (CI)} = P \times (1 + \frac{r}{n})^{n \times t} - P$

(P): Principal amount
(r): Annual interest rate (decimal)
(n): Number of compounding periods per year
(t): Time in years

 // 2. Compound Interest
    public static double calculateCompoundInterest(double principal,
                                                   double rate, 
                                                   int compoundsPerYear, 
                                                   double time) {
    
        return principal * Math.pow(1 + (rate / compoundsPerYear),
                                     compoundsPerYear * time) - principal;
    }

2. Loan and Mortgage Payments

a. Monthly Loan Payment (Amortization)

$M = \frac{P \times r \times (1 + r)^n}{(1 + r)^n - 1}$

(M): Monthly payment
(P): Loan principal
(r): Monthly interest rate ($(r = \frac{\text{Annual Rate}}{12})$)
(n): Total number of payments ($(n = \text{Years} \times 12$))

    // 3. Monthly Loan Payment (Amortization)
    public static double calculateMonthlyLoanPayment(double principal,
                                                     double annualRate,
                                                     int years) {
        double monthlyRate = annualRate / 12;
        int totalPayments = years * 12;
        return (principal * monthlyRate * Math.pow(1 + monthlyRate, totalPayments)) / 
               (Math.pow(1 + monthlyRate, totalPayments) - 1);
    }

b. Total Interest Paid

$\text{Total Interest} = (M \times n) - P$

    // 4. Total Interest Paid
    public static double calculateTotalInterest(double monthlyPayment,
                                                int years, double principal) {
        int totalPayments = years * 12;
        return (monthlyPayment * totalPayments) - principal;
    }

3. Investment Growth

a. Future Value of Investment

$FV = P \times (1 + r)^t$

(FV): Future value
(P): Initial investment
(r): Annual rate of return
(t): Number of years ```java // 5. Future Value of Investment public static double calculateFutureValue(double principal, double rate, double time) { return principal * Math.pow(1 + rate, time); }

#### b. **Present Value**
$$
PV = \frac{FV}{(1 + r)^t}
$$
- Used to determine the value of future cash flows in today's terms.
```java
    // 6. Present Value
    public static double calculatePresentValue(double futureValue,
                                               double rate, double time) {
        return futureValue / Math.pow(1 + rate, time);
    }

4. Budgeting and Savings

a. Savings Required for a Goal

$\text{Savings per period} = \frac{\text{Goal Amount}}{n}$

Divide the goal amount by the number of periods until the deadline.

  // 7. Savings Required for a Goal
  public static double calculateSavingsPerPeriod(double goalAmount, int periods) {
      return goalAmount / periods;
  }

5. Retirement Planning

a. Withdrawal Amount (4% Rule)

$\text{Annual Withdrawal} = 0.04 \times \text{Portfolio Value}$

    public static double calculateAnnualWithdrawal(double portfolioValue) {
            return 0.04 * portfolioValue;
    }

b. Future Value of Retirement Contributions

$FV = \text{Contribution} \times \frac{(1 + r)^t - 1}{r}$

    public static double calculateFutureValueOfContributions(double contribution, 
                                                             double rate,
                                                             double time) {
        return contribution * ((Math.pow(1 + rate, time) - 1) / rate);
    }

6. Business Metrics

a. Profit Margin

$\text{Profit Margin} = \frac{\text{Net Income}}{\text{Revenue}} \times 100$

    public static double calculateProfitMargin(double netIncome, double revenue) {
        return (netIncome / revenue) * 100;
    }

b. Break-Even Point

$\text{Break-Even Sales} = \frac{\text{Fixed Costs}}{\text{Selling Price per Unit} - \text{Variable Cost per Unit}}$

    public static double calculateBreakEvenSales(double fixedCosts, 
                                                  double sellingPrice, 
                                                  double variableCost) {
        return fixedCosts / (sellingPrice - variableCost);
    }

7. Ratios

a. Debt-to-Income Ratio

$\text{DTI} = \frac{\text{Total Monthly Debt Payments}}{\text{Gross Monthly Income}} \times 100$

    public static double calculateDebtToIncomeRatio(double totalDebtPayments,
                                                    double grossIncome) {
        return (totalDebtPayments / grossIncome) * 100;
    }

b. Liquidity Ratio

$\text{Liquidity Ratio} = \frac{\text{Liquid Assets}}{\text{Current Liabilities}}$

    public static double calculateLiquidityRatio(double liquidAssets,
                                                 double currentLiabilities) {
        return liquidAssets / currentLiabilities;
    }

8. Stock and Investment Analysis

a. Return on Investment (ROI)

$\text{ROI} = \frac{\text{Gain from Investment} - \text{Cost of Investment}}{\text{Cost of Investment}} \times 100$

    public static double calculateROI(double gain, double cost) {
        return ((gain - cost) / cost) * 100;
    }

b. Price-to-Earnings Ratio (P/E)

$\text{P/E Ratio} = \frac{\text{Market Price per Share}}{\text{Earnings per Share}}$

    public static double calculatePERatio(double marketPrice, 
                                          double earningsPerShare) {
        return marketPrice / earningsPerShare;
    }

Combination of financial calculations

public class FinancialCalculations {

    // 1. Simple Interest
    public static double calculateSimpleInterest(double principal, double rate, double time) {
        return principal * rate * time;
    }

    // 2. Compound Interest
    public static double calculateCompoundInterest(double principal, double rate, int compoundsPerYear, double time) {
        return principal * Math.pow(1 + (rate / compoundsPerYear), compoundsPerYear * time) - principal;
    }

    // 3. Monthly Loan Payment (Amortization)
    public static double calculateMonthlyLoanPayment(double principal, double annualRate, int years) {
        double monthlyRate = annualRate / 12;
        int totalPayments = years * 12;
        return (principal * monthlyRate * Math.pow(1 + monthlyRate, totalPayments)) / 
               (Math.pow(1 + monthlyRate, totalPayments) - 1);
    }

    // 4. Total Interest Paid
    public static double calculateTotalInterest(double monthlyPayment, int years, double principal) {
        int totalPayments = years * 12;
        return (monthlyPayment * totalPayments) - principal;
    }

    // 5. Future Value of Investment
    public static double calculateFutureValue(double principal, double rate, double time) {
        return principal * Math.pow(1 + rate, time);
    }

    // 6. Present Value
    public static double calculatePresentValue(double futureValue, double rate, double time) {
        return futureValue / Math.pow(1 + rate, time);
    }

    // 7. Savings Required for a Goal
    public static double calculateSavingsPerPeriod(double goalAmount, int periods) {
        return goalAmount / periods;
    }

    // Main method to demonstrate the calculations
    public static void main(String[] args) {
        // Example usage
        double principal = 10000;
        double annualRate = 0.05; // 5% interest rate
        double time = 5; // 5 years
        int compoundsPerYear = 12;

        // Simple Interest
        System.out.println("Simple Interest: " + calculateSimpleInterest(principal, annualRate, time));

        // Compound Interest
        System.out.println("Compound Interest: " + calculateCompoundInterest(principal, annualRate, compoundsPerYear, time));

        // Monthly Loan Payment
        int loanYears = 10;
        double monthlyPayment = calculateMonthlyLoanPayment(principal, annualRate, loanYears);
        System.out.println("Monthly Loan Payment: " + monthlyPayment);

        // Total Interest Paid
        System.out.println("Total Interest Paid: " + calculateTotalInterest(monthlyPayment, loanYears, principal));

        // Future Value
        System.out.println("Future Value: " + calculateFutureValue(principal, annualRate, time));

        // Present Value
        double futureValue = 20000;
        System.out.println("Present Value: " + calculatePresentValue(futureValue, annualRate, time));

        // Savings Required for a Goal
        double goalAmount = 50000;
        int periods = 10;
        System.out.println("Savings Per Period: " + calculateSavingsPerPeriod(goalAmount, periods));
    }
}

Terence Schumacher