Course Overview

Financial Mathematics (30h) হলো একটি Practical & Finance-Focused Course, যেখানে mathematical concepts ও quantitative techniques ব্যবহার করে financial problems analyse ও solve করা শেখানো হবে।

এই course-এ Simple & Compound Interest, Present Value, Future Value, Annuities, Loans & Amortization, Bonds, Yield, Cash Flow Analysis, NPV, IRR, Inflation, Investment Valuation এবং Financial Ratios শেখানো হবে।

Practical Examples-এর মাধ্যমে learners শুধু formulas নয়, বরং কখন, কেন এবং কীভাবে এগুলো ব্যবহার করতে হয় তা বুঝে financial problems solve করার দক্ষতা অর্জন করবে।

What You Will Learn

✔ Financial Mathematics Fundamentals
✔ Financial Notation
✔ Percentages & Growth Rates
✔ Simple Interest
✔ Compound Interest
✔ Effective & Nominal Interest Rates
✔ Present Value
✔ Future Value
✔ Discounting & Compounding
✔ Time Value of Money
✔ Annuities
✔ Perpetuities
✔ Loan Calculations
✔ Amortization
✔ Mortgage Calculations
✔ Bond Mathematics
✔ Yield to Maturity Fundamentals
✔ Cash Flow Analysis
✔ NPV
✔ IRR
✔ Investment Valuation
✔ Inflation & Real Return
✔ Depreciation
✔ Financial Ratios
✔ Sensitivity Analysis
✔ Scenario Analysis
✔ Financial Decision Making

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Course Curriculum

Module 1 — Introduction to Financial Mathematics

• What is Financial Mathematics?
• Role of Mathematics in Finance
• Financial Variables
• Financial Notation
• Percentage Calculations
• Growth Rates
• Financial Formulas
• Understanding Financial Equations
• Applying Mathematical Models
• Common Calculation Mistakes

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Module 2 — Simple Interest

• What is Simple Interest?
• Principal
• Interest Rate
• Time Period
• Interest Calculation
• Maturity Value
• Simple Interest Applications
• Short-Term Financial Calculations
• Comparing Simple Interest Options
• Practical Problem Solving

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Module 3 — Compound Interest

• Compound Interest Fundamentals
• Annual Compounding
• Semi-Annual Compounding
• Quarterly Compounding
• Monthly Compounding
• Compounding Frequency
• Future Value
• Compound Growth
• Effective Interest Rate
• Practical Applications

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Module 4 — Interest Rate Concepts

• Nominal Interest Rate
• Effective Interest Rate
• Annual Percentage Rate
• Annual Effective Rate
• Periodic Rate
• Conversion Between Rates
• Compounding Frequency
• Comparing Interest Rates
• Real vs Nominal Interest
• Interest Rate Interpretation

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Module 5 — Time Value of Money

• Time Value of Money
• Present Value
• Future Value
• Discounting
• Compounding
• Discount Rate
• Cash Flow Timing
• Single Cash Flow
• Multiple Cash Flows
• Financial Decision Making

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Module 6 — Annuities

• What is an Annuity?
• Ordinary Annuity
• Annuity Due
• Present Value of Annuity
• Future Value of Annuity
• Regular Payments
• Monthly Payment Calculations
• Savings Plans
• Retirement Contributions
• Practical Annuity Problems

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Module 7 — Perpetuities & Growing Cash Flows

• What is a Perpetuity?
• Perpetuity Valuation
• Growing Perpetuity
• Fixed Cash Flows
• Growing Cash Flows
• Long-Term Valuation
• Dividend Valuation Basics
• Practical Applications

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Module 8 — Loans & Amortization

• Loan Mathematics
• Principal & Interest
• Loan Payment
• Monthly Installment
• Amortization
• Amortization Schedule
• Interest Component
• Principal Component
• Outstanding Balance
• Early Repayment
• Loan Comparison

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Module 9 — Mortgage & EMI Calculations

• Mortgage Fundamentals
• EMI Concept
• Monthly Interest
• Loan Tenure
• Total Interest
• Payment Schedule
• Short vs Long Tenure
• Interest Cost Comparison
• Prepayment Impact
• Practical Mortgage Examples

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Module 10 — Discounting & Cash Flow Analysis

• Discount Factor
• Discounted Cash Flow
• Multiple Cash Flows
• Uneven Cash Flows
• Cash Flow Timeline
• Present Value of Cash Flows
• Future Value of Cash Flows
• Discount Rate Selection
• Cash Flow Comparison

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Module 11 — Net Present Value (NPV)

• What is NPV?
• NPV Concept
• Initial Investment
• Future Cash Flows
• Discount Rate
• NPV Calculation
• Positive vs Negative NPV
• Investment Decision
• Comparing Projects
• NPV Limitations

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Module 12 — Internal Rate of Return (IRR)

• What is IRR?
• IRR Concept
• Relationship Between NPV & IRR
• Investment Evaluation
• Project Comparison
• IRR Interpretation
• Multiple IRR Concept
• IRR Limitations
• Practical Examples

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Module 13 — Investment & Project Valuation

• Investment Evaluation
• Project Cash Flows
• Initial Investment
• Operating Cash Flows
• Terminal Cash Flow
• NPV
• IRR
• Payback Period
• Profitability Comparison
• Investment Decision Framework

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Module 14 — Bond Mathematics

• What is a Bond?
• Face Value
• Coupon Rate
• Coupon Payment
• Maturity
• Bond Price
• Present Value of Coupons
• Present Value of Principal
• Bond Yield
• Price-Yield Relationship

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Module 15 — Yield & Duration Fundamentals

• Yield Concept
• Current Yield
• Yield to Maturity Fundamentals
• Interest Rate Changes
• Bond Price Sensitivity
• Duration Concept
• Interest Rate Risk
• Basic Bond Risk Analysis
• Practical Bond Examples

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Module 16 — Inflation & Real Returns

• What is Inflation?
• Inflation Rate
• Nominal Return
• Real Return
• Purchasing Power
• Inflation-Adjusted Cash Flow
• Real vs Nominal Interest
• Long-Term Financial Planning
• Inflation Impact on Investments

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Module 17 — Depreciation Mathematics

• What is Depreciation?
• Straight-Line Depreciation
• Declining Balance Concept
• Book Value
• Salvage Value
• Useful Life
• Annual Depreciation
• Asset Valuation
• Depreciation in Financial Planning

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Module 18 — Financial Ratios

• Liquidity Ratios
• Profitability Ratios
• Leverage Ratios
• Efficiency Ratios
• Current Ratio
• Quick Ratio
• Debt-to-Equity
• Gross Profit Margin
• Net Profit Margin
• ROA
• ROE
• Ratio Interpretation

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Module 19 — Growth & Financial Forecasting

• Revenue Growth
• Compound Annual Growth Rate
• Growth Projection
• Expense Forecast
• Profit Forecast
• Cash Flow Forecast
• Future Value Forecasting
• Scenario-Based Forecasting
• Financial Planning

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Module 20 — Sensitivity & Scenario Analysis

• What is Sensitivity Analysis?
• Changing Interest Rates
• Changing Cash Flows
• Changing Investment Period
• Best-Case Scenario
• Base-Case Scenario
• Worst-Case Scenario
• Financial Model Sensitivity
• Decision Making Under Uncertainty

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Practical Financial Mathematics Projects

Course-এর practical sessions-এ learners real-world financial problems solve করবেন।

💰 Project 1 — Investment Growth Calculation

একটি initial investment-এর জন্য—

• Simple Interest
• Compound Interest
• Effective Rate
• Future Value

calculate করে different investment options compare করা হবে।

🏦 Project 2 — Loan & EMI Analysis

একটি loan-এর জন্য—

• Principal
• Interest Rate
• Tenure
• Monthly Payment
• Total Interest
• Outstanding Balance

সহ complete Amortization Schedule তৈরি করা হবে।

📊 Project 3 — Savings & Annuity Planning

Regular monthly savings ব্যবহার করে future financial goal অর্জনের জন্য Annuity & Future Value calculations করা হবে।

🏢 Project 4 — Investment Project Evaluation

একটি business project-এর—

• Initial Investment
• Annual Cash Flow
• Discount Rate
• NPV
• IRR
• Payback Period

calculate করে investment decision নেওয়া হবে।

📈 Project 5 — Bond Valuation

একটি sample bond-এর—

• Coupon
• Face Value
• Maturity
• Yield
• Price

ব্যবহার করে bond valuation ও price-yield relationship analyse করা হবে।

💵 Project 6 — Inflation-Adjusted Planning

Inflation consider করে future financial requirement, real return এবং purchasing power analyse করা হবে।

🧮 Project 7 — Financial Forecast

Revenue, cost এবং growth rate ব্যবহার করে একটি basic financial forecast তৈরি করা হবে।

🏆 Final Project — Complete Financial Mathematics Case

Course শেষে একটি integrated financial case solve করা হবে যেখানে থাকবে—

• Time Value of Money
• Interest Rate
• Cash Flow
• Annuity
• Loan
• Investment Evaluation
• NPV
• IRR
• Inflation
• Risk/Sensitivity Analysis
• Final Financial Decision

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Course Features

✅ 30 Hours Professional Training

✅ বাংলা + English Explanation

✅ Beginner to Intermediate Level

✅ Financial Mathematics Fundamentals

✅ Simple Interest

✅ Compound Interest

✅ Effective Interest Rate

✅ Time Value of Money

✅ Present Value & Future Value

✅ Discounting & Compounding

✅ Annuities

✅ Perpetuities

✅ Loan & EMI Calculation

✅ Amortization

✅ Mortgage Mathematics

✅ Cash Flow Analysis

✅ NPV

✅ IRR

✅ Investment Valuation

✅ Bond Mathematics

✅ Yield Fundamentals

✅ Inflation & Real Return

✅ Depreciation

✅ Financial Ratios

✅ Financial Forecasting

✅ Sensitivity Analysis

✅ Scenario Analysis

✅ Practical Financial Projects

✅ Real-World Financial Examples

✅ Final Financial Mathematics Project

✅ Instructor Support

✅ Class Recording (যদি প্রযোজ্য হয়)

✅ Certificate of Completion (যদি প্রদান করা হয়)

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Who Can Join?

• Finance Students
• Accounting Students
• Economics Students
• Banking Professionals
• Accountants
• Financial Analysts
• Investment Analysts
• Business Analysts
• Entrepreneurs
• Business Owners
• Corporate Professionals
• Financial Planning Professionals
• Investment Enthusiasts
• Management Professionals
• Students interested in Finance
• যারা financial calculations ও modeling শিখতে চান

Basic Mathematics knowledge recommended। Advanced Mathematics বা programming knowledge প্রয়োজন নেই।

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After Completing This Course

এই course শেষ করার পর আপনি—

• Financial Mathematics-এর fundamental concepts বুঝতে পারবেন।
• Simple এবং Compound Interest calculate করতে পারবেন।
• Nominal ও Effective Interest Rate-এর difference বুঝতে পারবেন।
• Present Value ও Future Value calculate করতে পারবেন।
• Discounting ও Compounding-এর practical application করতে পারবেন।
• Annuity এবং Perpetuity-এর calculations করতে পারবেন।
• Loan payment ও EMI calculate করতে পারবেন।
• Amortization schedule তৈরি ও analyse করতে পারবেন।
• Different loan options compare করতে পারবেন।
• Multiple এবং uneven cash flow-এর present value calculate করতে পারবেন।
• NPV ব্যবহার করে investment project evaluate করতে পারবেন।
• IRR-এর concept বুঝে project comparison করতে পারবেন।
• Payback Period এবং basic investment metrics analyse করতে পারবেন।
• Bond price ও yield-এর relationship বুঝতে পারবেন।
• Basic bond valuation করতে পারবেন।
• Inflation-এর impact এবং real return calculate করতে পারবেন।
• Asset depreciation-এর mathematical calculations করতে পারবেন।
• Financial ratios calculate ও interpret করতে পারবেন।
• Revenue ও financial growth forecast করতে পারবেন।
• Sensitivity ও scenario analysis ব্যবহার করে financial decisions evaluate করতে পারবেন।
• Real-world financial problems mathematical frameworks দিয়ে solve করতে পারবেন।
• Advanced Financial Modeling, Investment Analysis এবং Quantitative Finance শেখার জন্য strong foundation তৈরি করতে পারবেন।