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Two-fund and One-fund Theorem

This lecture delves into the foundational concepts of the One-Fund and Two-Fund Theorems in portfolio theory, which are pivotal in understanding asset allocation and investment strategies. We begin by exploring the One-Fund Theorem, which asserts that all investors, regardless of their risk preferences, can achieve optimal portfolios by combining a risk-free asset with a single mutual fund of risky assets. We then extend this analysis to the Two-Fund Theorem, demonstrating how investors can construct efficient portfolios by mixing two mutual funds without requiring a risk-free asset.