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Derivatives

Black-Scholes-Merton Model

The Black-Scholes-Merton (BSM) formula holds the same weight in financial science as E = mc² does in physics. The formula revolutionized the development of the options market. Thanks […]

March 21, 2025
Risk

Optimal Hedge Ratio

Hedging for Sales Support Organizations often need to enter into long-term sales contracts with fixed prices, even when some of their costs depend on market fluctuations. For example, […]

March 18, 2025
Real Estate Investments

After Tax Discount Rate in RE

How Do Government Co-Financing Incentives Influence Real Estate Purchase Decisions? How Do Such Incentives Affect the Value of Real Estate for Beneficiaries? In practice, determining the correct discount […]

March 17, 2025 Advanced
Risk

Logistic Regression

Every important decision boils down to a “yes” or “no” choice – should I buy, or not buy? Should I offer a payment plan, or not? Should I […]

March 9, 2025 Advanced
Real Estate Investments

Depreciation Tax Shield in Real Estate

When investing in real estate, significant attention is given to the tax savings derived from depreciation (Depreciation Tax Shield – DTS), and this benefit becomes even more valuable […]

March 3, 2025 Advanced
Real Estate Investments

Cash-on-Cash Leverage in Real Estate

Unlike regular corporations, the tax component is excluded here because REITs are not subject to corporate income tax. There is nothing special about this formula—it simply weights the […]

February 24, 2025 Advanced
Real Estate Investments

RE Leverage and Risk: A Mathematical Perspective

When discussing the risk-return diagram, the risk component is often perceived theoretically. In this note, I will mathematically demonstrate how financial leverage and risk are essentially the same […]

February 17, 2025
Real Estate Investments

The Specifics of Real Estate Investing

Real estate investing differs from both securities market operations and corporate capital budgeting decisions—it is, in essence, a blend of the two. On one hand, investing in real […]

February 10, 2025
Real Estate Investments

Implied Inter-Lease Discount Rate

The property is leased under a long-term contract, and for discounting cash flows, the lessee’s loan rate is used (which is logical). The same rate can be used […]

February 7, 2025
Real Estate Investments

IRR Decomposition

Smart investors use IRR less frequently because it has many technical flaws, but the main issue is that IRR inherently assumes the reinvestment rate is the same as […]

February 5, 2025 Advanced
Real Estate Investments

Valuation of Long-term leases

Imagine you own a commercial real estate property that is leased under a 10-year fixed-rate contract. Once the contract expires, you will need to re-lease the property for […]

February 1, 2025
Real Estate Development

6 Equations Stock-Flow Model

The Inventory Dynamics Model describes the equilibrium dynamics and cyclicality of the real estate market. (The model is associated with Kenneth Rosen, William Wheaton, Patric Hendershott, and others.) […]

January 28, 2025
Real Estate Development

Property Life Cycle

A property has a life cycle—it is created, ages, depreciates, and is eventually redeveloped. Because of this, investors view real estate as comprising two parts: land value and […]

January 25, 2025
Real Estate Development

City Development Models

Urban land use and density are shaped by economic principles and social factors. The classical monocentric city model provides a foundation for understanding urban spatial economics, but real-world […]

January 25, 2025 Advanced
Growth

How Uncertainty Creates Real Estate Value

When we discussed the monocentric city model, we described the value of real estate in terms of rents rather than prices. While rent levels are directly related to […]

January 23, 2025 Advanced
Real Estate Development

Monocentric City Model

The monocentric city model, despite its simplicity, provides fascinating insights into how cities form and what factors influence real estate prices, such as location, spatial growth, population growth, […]

January 21, 2025 Advanced
Real Estate Development

Residual Theory of Land Value

The demand for construction land is derived demand, not direct demand. Land serves as a production factor—it is not needed for final consumption but rather for hosting buildings […]

January 17, 2025 Advanced