Chapter VI: Measuring Investment Returns (Part 1)

Measuring the performance of an investment is a fundamental skill for any investment adviser. In financial markets, every investment is defined by a series of cash outflows (investments made) and cash inflows (returns received). By comparing these flows, you can determine the exact economic benefit an investor derives from putting their capital to work.

This study guide covers the first part of Chapter VI: Measuring Investment Returns, focusing on fundamental return concepts, the mechanics of compounding, the time value of money, and annuities.

1. Core Return Concepts

In investment analysis, returns can be measured in several ways depending on whether you need to evaluate absolute growth, standardise performance across different horizons, or account for cash payouts like dividends.

Absolute Return

The Absolute Return is the simplest measure of investment performance. It calculates the total gain or loss on an investment as a percentage of the initial principal, without considering how long the investment was held.

• Formula: Absolute Return = ((End Value - Begin Value) / Begin Value) * 100
• Key Limitation: Absolute return is not an appropriate measure for comparing the performance of different investments if they have different holding periods, because it completely ignores the element of time. For example, a 20% absolute return earned over 5 years is vastly different from a 20% absolute return earned in 6 months, but their absolute return metric is identical.

Annualised Return

To compare investments with different holding periods fairly, we must standardise the investment horizon. The Annualised Return translates the actual return earned over a specific holding period into a standardised rate expressed as percent per annum (% p.a.). Essentially, it treats the investment as if it were held for exactly one year.

• Formula: Annualised Return = ((End Value - Begin Value) / Begin Value) * 100 * (1 / Holding Period in years)
• Significance: This metric provides a uniform playing field, allowing advisers and investors to compare a short-term money market instrument with a multi-year bond or equity asset.

Total Return

The Total Return measures the overall performance of an investment by accounting for all forms of return—both capital appreciation (or depreciation) and periodic income (such as dividends or interest payouts)—relative to the initial principal. It is calculated as an annualised rate after incorporating all cash inflows and outflows.

Practical Textbook Example:

Consider an investor who purchases an equity share under the following conditions:

• Face Value of Share: Rs. 10
• Purchase Price (Beginning Value): Rs. 200
• Dividend Yield declared by company: 30%
• Sale Price after 1 Year (Ending Value): Rs. 190

Step-by-Step Walkthrough:

1. Calculate Dividend Income: The dividend is always calculated on the face value of the share. Dividend Earned = 30% of Rs. 10 = Rs. 3
2. Calculate Capital Loss: Capital Loss = Purchase Price - Sale Price = Rs. 200 - Rs. 190 = Rs. 10
3. Compute Net Total Return (in Rupees): Total Return (Rs) = Dividend Earned - Capital Loss = Rs. 3 - Rs. 10 = -Rs. 7
4. Compute Rate of Return (% p.a.): Rate of Return = (Total Return (Rs) / Purchase Price) * 100 Rate of Return = (-7 / 200) * 100 = -3.5% p.a.

2. The Concept of Compounding

Compounding represents the process where the return earned on an investment in one period is added back to the principal sum, creating a larger principal base for the subsequent period. Over time, this mechanism allows investors to earn interest on interest, leading to exponential growth.

• Formula: FV = PV * (1 + r)^n

  Where:

  • FV = Future Value of the investment
  • PV = Present Value (initial principal amount)
  • r = Rate of return for each compounding period
  • n = Number of compounding periods

3. The Time Value of Money (TVM)

The Time Value of Money (TVM) is a foundational principle in financial decision-making. It states that a specific sum of money available at the present time is worth more than the exact same amount in the future.

Key TVM Principles:

• Potential to Earn: Money held today is more valuable because it has the immediate potential to be invested and earn returns over time.
• Timelines Matter: The value associated with a sum of money received in earlier periods is always higher than that received in later periods.
• Incomparability of Cash Flows: Because money has a time value, you cannot directly compare or add up cash flows that are received in different time periods. To compare them, they must first be converted to a common point on the timeline (using tools like discounting to find the present value, or compounding to find the future value).

4. Understanding Annuities

An Annuity is a series of regular payments made or received at consistent periodic intervals (such as monthly, quarterly, or annually). A classic, real-world example of an annuity is a pension payment.

Annuities are categorized into two primary types based on how their payouts are structured:

1. Fixed Annuity

Under a Fixed Annuity, the investor receives a pre-determined, constant amount of money at regular intervals throughout the specified term.

• Example: If an investor puts money into the Senior Citizen Savings Scheme (SCSS) at a rate of 8.3% p.a., they receive a guaranteed, fixed periodic return for the entire 5-year tenure of the investment.

2. Flexible (Floating) Annuity

In a Flexible or Floating Annuity, the periodic payouts are not fixed. Instead, they are benchmarked to external variables such as inflation, index returns, or other parameters specified in the indenture agreement. As a result, the annuity payouts fluctuate over time in alignment with the movement of the chosen benchmark.

NISM Exam-Relevant Terms to Remember