Topics
Linear Equations in Two Variables
- Foundation of Linear Equations in Two Variables
- Simultaneous Linear Equations
- Graph of a Linear Equation in Two Variables
- Methods of Solving Linear Equations in Two Variables > Graphical Method
- Methods of Solving Linear Equations in Two Variables > Determinant method (Cramer’s Rule)
- Equations Reducible to Linear Equations
- Application of Simultaneous Equations
Quadratic Equations
- Concept of Quadratic Equations
- Factorisation Method
- Completing the Square Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
- Formation of a Quadratic Equation with Given Roots
- Application of Quadratic Equation
Arithmetic Progression
Financial Planning
Probability
Statistics
Introduction
Most people want their savings to grow, but investing directly in shares requires time, knowledge, and constant monitoring. A mutual fund allows an investor to pool money with many other investors and let a professional fund manager invest it in a diversified portfolio.
Real-life analogy:
Instead of buying one full pizza, several friends contribute money and share slices from many pizzas. Similarly, mutual-fund investors collectively own small portions of many companies or securities.
Definition: Mutual Fund (MF)
A Mutual Fund is a professionally managed investment scheme in which money from many investors is pooled together and invested in shares, bonds, debentures or other securities by an Asset Management Company (AMC).
Formula: Net Asset Value (NAV)
The market value of one unit of a mutual fund is called Net Asset Value (NAV).
\[\mathrm{NAV}=\frac{\text{Total fund value}}{\text{Total number of units}}\]
Definition: Systematic Investment Plan (SIP)
A Systematic Investment Plan (SIP) is a method of investing a fixed amount at regular intervals (monthly/quarterly) in mutual funds.
Benefits of Mutual Funds
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Professional Management: Managed by professional fund managers.
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Diversification: Reduces risk through the diversification of funds.
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Safety & Transparency: Offers transparency and sufficiently safe investments.
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High Liquidity: Units can be easily redeemed.
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Risk Management: Involves limited risks.
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Gains: Provides advantages of both long-term and short-term gains.
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Tax Benefits: Investments in funds like ELSS are admissible for deductions under Section 80C of the Income Tax Act.
Limitations and Risks
- Market risk: The value of units can fall if markets decline.
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No guaranteed return: Mutual funds do not assure fixed returns.
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Management risk: Poor fund-manager decisions can affect performance.
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Expenses: Expense ratio and exit load can reduce net returns.
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Lock-in period: ELSS units cannot be redeemed before the prescribed lock-in period.
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Not suitable for very short-term goals: Equity mutual funds may be volatile in the short run.
Key Points: Mutual Funds and Systematic Investment Plan
- A mutual fund pools money from many investors and invests it through an AMC.
- Investors receive units; the value of one unit is its NAV.
- \[ \text{NAV} = \frac{\text{Total Value of Fund}}{\text{Total Number of Units}} \]
- \[ \text{Units Purchased} = \frac{\text{Amount Invested}}{\text{NAV}} \]
- A SIP means investing a fixed amount at regular intervals.
- SIPs promote discipline, affordability, and rupee-cost averaging.
- Mutual funds offer diversification and professional management but do not guarantee returns.
- Equity funds generally have higher risk and return potential than debt funds.
- ELSS is a tax-saving mutual-fund category, subject to applicable tax rules and lock-in requirements.
