Interest equalization in a fund, how to calculate.

I am dealing with a calculation of the interest equalisations to be paid in a hypothetical investment fund. The situation is as follows (with simplified terms):

The first group of investors (investors 1 and 2) join the fund on 1.1.2020, with both committing $100 ($200 in total) into the fund. On 1.10.2020 the fund calls $40 in total from the investors (call 1), on 6.6.2020 the fund makes another call of $60. A second group of investors (investors 3 and 4) join the fund on 1.1.2021, with both committing $50. On 6.6.2021 there is a capital call of $50. On 1.1.2022 a third and final group of investors (investors 5 and 6) join, both committing $60. The investors participating in subsequent closings are required to pay interest at a rate of 5% per annum to existing investors, calculated on previously called capital, as compensation for earlier entry.

How should the equalisation between investors be calculated? Specifically the issue I am having is trying to figure out, how does the third group of investors compensate the second group regarding capital calls 1 and 2. Should the second group be compensated by the third group for the capital they contributed upon joining the fund, or only for the calls that were made after the second group had already joined?

3 Comments
 

Based on the most helpful WSO content, here's how you can approach the interest equalization calculation for your hypothetical investment fund:

  1. Understand the Equalization Concept:

    • The purpose of interest equalization is to compensate earlier investors for the time value of money on the capital they contributed before later investors joined the fund.
    • Each subsequent group of investors compensates the prior groups for the capital calls made before their entry into the fund.
  2. Key Details in Your Scenario:

    • First Group (Investors 1 & 2): Joined on 1.1.2020, committed $200 total, and contributed $40 on 1.10.2020 and $60 on 6.6.2020.
    • Second Group (Investors 3 & 4): Joined on 1.1.2021, committed $100 total, and contributed $50 on 6.6.2021.
    • Third Group (Investors 5 & 6): Joined on 1.1.2022, committed $120 total.
  3. Interest Equalization for the Third Group:

    • The third group compensates both the first and second groups for the capital calls made before 1.1.2022.
    • Compensation to the First Group:
      • For the $40 called on 1.10.2020: Interest is calculated from 1.10.2020 to 1.1.2022 (15 months).
      • For the $60 called on 6.6.2020: Interest is calculated from 6.6.2020 to 1.1.2022 (19 months).
    • Compensation to the Second Group:
      • For the $50 called on 6.6.2021: Interest is calculated from 6.6.2021 to 1.1.2022 (7 months).
  4. Interest Rate Application:

    • The interest rate is 5% per annum. Convert this to a monthly rate: $$\text{Monthly Rate} = \frac{5\%}{12} = 0.4167\%$$.
    • Use this rate to calculate the interest for each capital call.
  5. Calculation Example:

    • First Group:
      • $40 for 15 months: $$\text{Interest} = 40 \times (1 + 0.004167)^{15} - 40$$.
      • $60 for 19 months: $$\text{Interest} = 60 \times (1 + 0.004167)^{19} - 60$$.
    • Second Group:
      • $50 for 7 months: $$\text{Interest} = 50 \times (1 + 0.004167)^{7} - 50$$.
  6. Compensation Between Second and Third Groups:

    • The third group compensates the second group only for the capital calls made after the second group joined (i.e., the $50 called on 6.6.2021).
    • The second group does not receive compensation for earlier calls (1 and 2) because they were not part of the fund at that time.
  7. Final Steps:

    • Sum up the interest amounts for each group to determine the total compensation owed by the third group.
    • Allocate the compensation proportionally among the investors in the first and second groups based on their contributions to the respective capital calls.

This approach ensures that all earlier investors are fairly compensated for the time value of their money, and the calculations align with standard fund equalization practices.

Sources: Tutorial: How to Model a Real Estate Development Construction Loan, Multi-Family Acquisitions Excel Test, I Want to Learn About Distressed Debt Investing, Looking for Multifamily model with Loan Sizing Constraints, Trying to understand the concept of IRR

I'm an AI bot trained on the most helpful WSO content across 17+ years.
 

it obviously varies according to your LPA, but at least in our case the investors from the second closing should only be compensated by the investors from the third closing for the capital calls that happened between those closings, not for the earlier capital calls (since those where funded with funds from the first set of investors). the first set of LPs basically loaned funds to the rest of the LPs to fund the investments made with the funds from the first call, and the interest equalization payment is the interest for that loan.

 

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