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    Return Mathematics: Liquid vs Illiquid Investing

    20 min
    |
    |
    Nov 25, 2025
    FinanceBusinessScience

    Deep dive into the sophisticated mathematical frameworks transforming portfolio theory, from GARCH models to liquidity premiums, revealing how quantitative methods optimize returns across liquid and illiquid investment strategies.

    Return Mathematics: Liquid vs Illiquid Investing

    Best quote from Return Mathematics: Liquid vs Illiquid Investing

    “

    Traditional portfolio theory treats all assets as if they're perfectly liquid, but that's mathematically naive. When you're dealing with illiquid alternatives, you need stochastic linear system models to properly capture random capital calls, uncertain distributions, and time delays.

    ”

    This audio lesson was created by a BeFreed community member

    Input question

    return and rate mathematics in the quantitative foundations of investing in liquid and illiquid strategies

    Host voices
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    Knowledge sources
    Asset Allocation
    Strategic Risk Management
    Strategic Asset Allocation with Illiquid Alternatives - arXiv
    link
    https://arxiv.org/pdf/2207.07767
    Systematic Trading
    Liquidity Premium, Liquidity-Adjusted Return and Volatility, and a Unified Modern Portfolio Theory: illustrated with Crypto Assets
    link
    https://export.arxiv.org/pdf/2306.15807v3.pdf
    The Wrapper Matters: Comparing Liquid Alternatives and Hedge Funds
    link
    https://caia.org/sites/default/files/thewrapper.pdf

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    Part of a Learning Plan

    Hedge Portfolio Risk with Derivatives
    LEARNING PLAN

    Hedge Portfolio Risk with Derivatives

    4 h 8 m•4 Episodes

    Key Takeaways

    1

    Opening and Setting the Stage

    0:00
    0:21
    0:40
    2

    Foundational Mathematics of Asset Allocation

    1:03
    1:25
    1:43
    2:03
    2:28
    2:49
    3

    The Illiquidity Premium and Mathematical Modeling

    3:11
    3:29
    3:49
    4:14
    4:35
    4:54
    4

    Systematic Trading and Risk Management Mathematics

    5:16
    5:34
    5:52
    6:14
    6:30
    6:48
    5

    Liquidity-Adjusted Portfolio Theory Mathematics

    7:09
    7:23
    7:44
    8:02
    8:20
    8:39
    8:58
    6

    Strategic Risk Management and Dynamic Hedging

    9:18
    9:34
    9:54
    10:12
    10:30
    10:51
    7

    Liquid Alternatives versus Hedge Fund Mathematics

    11:07
    11:24
    11:38
    11:58
    12:16
    12:33
    8

    Correlation Dynamics and Portfolio Mathematics

    12:52
    13:09
    13:23
    13:47
    14:05
    14:31
    9

    Advanced Mathematical Modeling Techniques

    14:46
    15:04
    15:24
    15:38
    15:54
    16:08
    10

    Practical Implementation and Mathematical Constraints

    16:23
    16:39
    17:03
    17:25
    17:41
    17:57
    11

    Wrapping Up: The Mathematical Revolution in Portfolio Theory

    18:19
    1:43
    18:59
    19:19
    19:35
    19:55
    20:10
    20:26

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