Chapter 6 – Risk and Return – Fund and Investor Perspective (Part 3 of 6)
6.5 Primary Metrics of Returns
Evaluating alternative investments requires a sophisticated understanding of return metrics. The first step is distinguishing between a simple rate of return (such as "simple interest" or "coupon rate") and the "yield" (which incorporates compound interest or the internal rate of return).
While the coupon rate of a debt security is fixed based on the credit rating of the issuer, prevailing interest rates, and market conditions, the actual yield generated can vary significantly depending on the timing and frequency of the cash payments.
The Compounding Effect on Yield
The frequency of interest payouts directly dictates the actual yield earned on an investment. This is because faster cash distributions can be reinvested into other yielding opportunities (under the assumption that reinvestment options are available at the same rate of return).
The formula to calculate the Effective Rate of Interest (r) is:
Effective Rate (r) = (1 + k/m)^m – 1
Where:
- r = Effective annual rate of interest
- k = Nominal or coupon rate of interest
- m = Frequency of compounding per year
Compounding Frequency and Effective Yield Comparison
The table below illustrates the impact of compounding frequency on a bond with a Face Value of INR 100 and a Nominal Coupon Rate of 15% p.a. over a 1-year tenor:
| Cash Flow Frequency | Basic Yield Per Period | Mathematical Compounding Calculation | Effective Annualised Yield |
|---|---|---|---|
| Annual | 15.00% | Effective Yield = (1 + 0.15/1)^1 – 1 | 15.00% |
| Bi-annual (Half-yearly) | 7.50% | Effective Yield = (1 + 0.15/2)^2 – 1 | 15.56% |
| Quarterly | 3.75% | Effective Yield = (1 + 0.15/4)^4 – 1 | 15.87% |
| Monthly | 1.25% | Effective Yield = (1 + 0.15/12)^12 – 1 | 16.08% |
Key Takeaway: The faster and more frequently cash flows are returned to the investor, the higher the effective annualised yield of the instrument.
Yield to Maturity (YTM)
For debt securities held within AIF portfolios, investors rely heavily on Yield to Maturity (YTM) to evaluate fixed-income returns.
- Definition: YTM is the total return anticipated on a bond if it is held until it matures.
- Calculation Elements: Finding the YTM requires solving for the discount rate that equates the present value of all future cash flows (periodic coupon payments and terminal principal redemption) to the current purchase price.
- Spreadsheet Application: Since YTM calculations are mathematically complex, they are typically executed in Microsoft Excel or OpenOffice Calc using the =IRR(...) function on the sequence of cash flows.
6.6 Return Measurement Metrics in Alternative Investments
When analysing performance, alternative investment managers and distributors primarily employ two distinct pillars of performance evaluation:
- Financial Internal Rate of Return (FIRR)
- Return on Investment (ROI) / Holding Period Return
The Financial Internal Rate of Return (FIRR)
The FIRR (commonly referred to simply as IRR) is exceptionally useful for evaluating AIFs because these funds operate on a lumpy, close-ended basis with multiple capital calls (drawdowns) and staggered exits (realisations). The FIRR reflects the exact time value of money by identifying the single discount rate at which the Net Present Value (NPV) of all cash outflows and inflows equals zero.
Limitations of FIRR Comparisons
While FIRR is a vital metric, distributors must caution investors against comparing different investment options solely on their historical FIRR. For example:
- Earning a 20% FIRR over a 2-year holding period in traditional, liquid assets represents a completely different risk and liquidity profile than earning a 25% FIRR from an AIF over an 8-year holding period on illiquid private assets.
- FIRR assumes that all interim cash distributions can be reinvested at the same internal rate of return, which may not be feasible in real-world markets.
The Gross vs. Net Trajectory Gap
A critical dynamic in AIF return measurement is the variance between Gross IRR and Net IRR:
- Gross IRR: Calculated strictly on portfolio investment performance at the fund level, before accounting for management fees, operating expenses, and performance-linked carry (additional returns).
- Net IRR: Reflects the actual cash returns received by the investor, after deducting all fees, expenses, taxes, and the manager's performance incentives.
- Trajectory Over Time: Early in a fund’s lifecycle, the gap between Gross and Net metrics is typically wide due to high upfront administrative, setup, and management fees relative to small early investments. As more capital is successfully deployed and realisations kick in, this gap should ideally narrow as the fund operates more efficiently.
Return on Investment (ROI) / Multiples Approach
Because FIRR is highly sensitive to the timing of cash flows, the AIF industry complements it with the ROI metric approach (also known as the multiples approach) to measure the total value generated by the fund relative to the capital invested.
Unlike the time-weighted FIRR, these absolute multiples measure "how many rupees of value were created for every rupee invested," providing a simple, absolute picture of performance.
The first key multiple used during the fund's investment phase is the PIC Multiple.
Paid-in Capital (PIC) Multiple
The PIC Multiple measures how active and fully deployed the fund is relative to its overall size. It shows the proportion of committed capital that has been drawn down from investors and put to work.
The formula is:
PIC Multiple = Cumulative Paid-in Capital / Total Capital Commitments
Practical Example:
If an AIF scheme has total investor capital commitments of INR 1,000 crore and has issued drawdown notices resulting in INR 800 crore being paid in by the investors to date, the PIC Multiple is:
INR 800 crore / INR 1,000 crore = 0.80 (or 80%)
Strategic Significance:
- A rising or high PIC percentage indicates that the fund is successfully transitioning out of its capital-raising phase and is approaching the end of its drawdown cycle.
- It signals to investors that the manager has successfully identified investment targets and has deployed the bulk of the committed "dry powder" into active portfolio assets.
Key Takeaways for Part 3
- Compounding Power: Effective yield increases with the frequency of compounding. Monthly compounding at a 15% nominal rate yields an effective rate of 16.08%, compared to 15.00% under annual compounding.
- The Reinvestment Assumption: High FIRRs assume that interim cash distributions can be reinvested at the same high rate, which is a major analytical limitation in real-world applications.
- Gross vs. Net Trajectory: The gap between Gross and Net IRR is widest in the early years of an AIF and should narrow as more capital is actively deployed and returns accumulate.
- PIC as a Deployment Meter: The PIC Multiple represents the fund's progress in deploying committed capital, indicating how much of the investor's commitment has been active in the market.
Important Terms Defined in Part 3
- Effective Interest Rate: The true, annualised rate of interest earned on an investment, reflecting the compounding impact of periodic interest payouts.
- Yield to Maturity (YTM): The internal rate of return of a bond, assuming it is purchased at the current market price, held to maturity, and all cash flows are received on schedule.
- Financial Internal Rate of Return (FIRR): The discount rate at which the present value of cash inflows from an investment equals the present value of cash outflows.
- Gross IRR: The fund-level return on investments, excluding the dilutive impact of management fees, fund expenses, and performance-based carry.
- Paid-in Capital (PIC) Multiple: An ROI metric calculated by dividing the cumulative capital drawn down (paid-in) by the total capital committed to the fund.