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# ASC303 Financial Mathematics UITM Assignment Sample Malaysia

ASC303 Financial Mathematics is a foundational course designed to introduce students to the fundamental concepts, calculations, and practical applications of mathematical modeling in the financial industry. The Financial Mathematics course aims to equip students with essential knowledge and skills in financial modeling and actuarial analysis, serving as a stepping stone for advanced studies in financial mathematics within the Actuarial Science Program.

The ASC303 course emphasizes hands-on learning, allowing students to apply mathematical concepts to real-world financial scenarios. By the end of the course, students will have developed a solid foundation in financial mathematics, enabling them to pursue more advanced studies and career opportunities in the field of actuarial science.

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### Assignment Brief 1: Describe the fundamental concepts, key terms and various investment instruments in Financial Mathematics.

#### To describe the fundamental concepts, key terms, and various investment instruments in Financial Mathematics, we need to understand the basic principles of finance and how they relate to mathematical models and calculations. Here are the key points to cover:

• Time Value of Money: The concept that money available today is worth more than the same amount of money in the future due to the potential to earn interest or returns.
• Interest Rates: The cost of borrowing money or the return earned on investments. It is expressed as a percentage and can be fixed or variable.
• Present Value (PV): The current value of future cash flows, determined by discounting them at an appropriate interest rate. PV represents the amount of money needed today to achieve a specific future value.
• Future Value (FV): The value of an investment or cash flow at a specific point in the future, considering the compounding of interest or returns.
• Compound Interest: The process of earning interest on both the initial investment and the accumulated interest from previous periods.
• Annuities: A series of fixed cash flows received or paid at regular intervals over a specified period. They can be ordinary annuities (cash flows at the end of each period) or annuities due (cash flows at the beginning of each period).
• Bonds: Debt securities issued by governments, municipalities, or corporations to raise capital. They have fixed interest payments (coupon payments) and a maturity date when the principal is repaid.
• Stocks: Ownership shares in a corporation that represent a claim on the company’s assets and earnings. Stocks can generate returns through dividends and capital appreciation.
• Options: Financial derivatives that give the holder the right, but not the obligation, to buy (call option) or sell (put option) an underlying asset at a predetermined price (strike price) within a specific period.
• Derivatives: Financial contracts whose value is derived from an underlying asset, such as stocks, bonds, commodities, or currencies. Examples include futures contracts and swaps.

### Assignment Brief 2: Apply the key procedures of Financial Mathematics in valuing various stream cash flows and bonds.

#### In this assignment, you need to apply the key procedures of Financial Mathematics in valuing various stream cash flows and bonds. Here are the steps to follow:

• Valuing Cash Flows: Use the concept of present value (PV) to determine the current value of a series of future cash flows. Apply the appropriate discount rate to account for the time value of money.
• Discounted Cash Flow (DCF) Analysis: Use DCF techniques to evaluate investment opportunities by discounting projected future cash flows back to their present value. Compare the present value of cash inflows with the initial investment to assess the viability of the project.
• Bond Valuation: Calculate the value of bonds by determining the present value of future cash flows, including coupon payments and the principal repayment at maturity. Apply appropriate discount rates based on prevailing interest rates and the bond’s risk characteristics.
• Yield-to-Maturity (YTM): Determine the yield a bond investor will earn if they hold the bond until maturity. YTM takes into account the bond’s current market price, coupon rate, and time remaining until maturity.
• Bond Price Sensitivity: Analyze how changes in interest rates affect bond prices using concepts like duration and convexity. Understand the inverse relationship between interest rates and bond prices.

### Assignment Brief 3: Analyse the complexity of financial decisions by translating real-world problems into mathematical terms in business and personal arenas.

#### In this assignment, you need to analyze the complexity of financial decisions by translating real-world problems into mathematical terms in business and personal arenas. Here’s how to approach it:

• Problem Identification: Identify a real-world financial problem in a business or personal context. It could involve investment decisions, budgeting, risk management, or financial planning.
• Mathematical Modeling: Translate the problem into mathematical terms by identifying relevant variables, constraints, and objectives. Formulate equations or functions to represent the relationships between these elements.
• Optimization Techniques: Apply mathematical optimization techniques, such as linear programming, quadratic programming, or dynamic programming, to find the optimal solution that maximizes profits, minimizes costs, or achieves other specified objectives.
• Sensitivity Analysis: Assess the sensitivity of the mathematical model to changes in input variables. Determine how variations in assumptions or parameters impact the optimal solution and the overall financial decision.
• Interpretation of Results: Analyze the mathematical model’s output and interpret the results in the context of the real-world problem. Evaluate the feasibility and practicality of the solution and provide recommendations based on the findings.

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