A Two-Factor Framework for Property Valuation in Uganda

1. Introduction and Scope

The model is designed to produce a total estimated price (point estimate) and three scenario prices for a given property. The methodology is additive: land value and the present value of income are computed separately and summed. No leverage, taxes, or risk-premium models beyond the scenario premiums are introduced. The output is intended for use as decision-support during the transaction process, not as a substitute for a valuation report suitable for loan applications.

2. Methodological Positioning

Standard real-estate valuation theory distinguishes the sales-comparison (market) approach, the income approach, and the cost approach (IVS 105; Appraisal Institute, 2020). This framework combines the first two. The land component is valued by the sales-comparison method: greenfield price per unit area is taken from comparable transactions or listings by location, then multiplied by parcel area. The income component is valued by the income approach: expected future cashflows are discounted to present value using a discount rate tied to the risk-free rate (Geltner et al., 2014; Brealey et al., 2020). The additive decomposition (land plus income) is a common simplification when the property is income-producing and the land has a well-defined opportunity cost; it does not capture option value or redevelopment explicitly.

3. Model Inputs

The following are exogenous inputs supplied by the user or from title and operating data:

• Location identifier (e.g. pin or geographic code): used to look up greenfield price per unit area.
• Land size (e.g. m²): area as per title deed or equivalent.
• Title type: land-title characteristics (including tenure and property-rights factors) are incorporated into the greenfield value via a proprietary scoring and classification system that applies upward or downward adjustments to reflect the strength of property rights.
• Alternative data (traffic, proximity to amenities, road quality): used to refine the greenfield price per unit area; see §6.1.
• Average monthly cashflow: for income-producing property, the trailing 12-month average of unlevered, pre-tax rental or operating cashflow; for residential owner-occupied property (homes, apartments), the cashflow is interpreted as rent avoided—the rent the owner would otherwise pay if not owner-occupying (imputed rent). Converted to annual cashflow as described in §7.

4. Assumptions

The following are maintained throughout unless stated otherwise in scenario analysis:

• Additivity: Total value is the sum of land value and the present value of income; no interaction term is modeled.
• Unlevered, pre-tax: Cashflows and discounting are on an unlevered, pre-tax basis; no financing or tax shield is incorporated.
• Constant cashflow (point estimate and base/downside): Annual cashflow is level over the explicit period and in perpetuity unless the upside scenario is applied.
• Single discount rate per scenario: One rate is used for both the explicit period and the terminal value within each scenario; no term structure.
• Land value invariant to scenario: The land component is unchanged across scenarios; only the income component varies with the discount rate (and growth, in the upside case).

5. Valuation Identity

Total estimated price is defined as the sum of two components:

Definitions: denotes the land-value component (from comparables). denotes the present value of future unlevered, pre-tax cashflows (explicit period plus terminal value). Equation (1) is an identity that defines given the two components; the operational content lies in how and are estimated (§6–§8).

6. Land Component: Comparable-Sales Estimator

The land component is estimated by the product of greenfield price per unit area and parcel area:

Definitions: is greenfield price per unit area (e.g. currency per m²), obtained by lookup from an internal database keyed by the location identifier. is land size in the same units. The land is treated as vacant (greenfield) for the purpose of this component.

The effective price per unit area used in (2) may incorporate adjustments for land-title characteristics—via a proprietary scoring and classification system that reflects property-rights strength (upward or downward)—and for alternative data as described in §6.1.

6.1 Alternative data in the greenfield component

The authors are integrating alternative data into the greenfield component so that location-specific land value reflects not only comparable transactions by area but also observable factors that drive land demand and liquidity. Three categories are being built into the model:

• Traffic data — volume and patterns that signal visibility, accessibility, and commercial potential of a location.
• Proximity to amenities — distance or access to schools, health facilities, transport nodes, and other place-based services that influence willingness to pay for land.
• Road quality — connectivity and condition of access roads, which affect development cost and attractiveness.

These inputs are combined with the location-based greenfield lookup to produce an adjusted price per unit area used in equation (2). The exact combination, weighting, and data sources are proprietary and may be updated as the evidence base grows.

7. Income Component: Discounted Cash Flow

The income component is the present value of a level perpetuity of unlevered, pre-tax cashflow, implemented as a five-year explicit forecast plus a perpetuity terminal value. For income-producing property, is actual rental or operating cashflow. For residential owner-occupied property (homes, apartments), is the annual equivalent of rent avoided (imputed rent): the rent the owner would otherwise pay if not living in the property. Let denote annual cashflow (12 × average monthly cashflow from either source). Let denote the discount rate (see §8). End-of-year cashflows are assumed.

7.1 Explicit period (years 1–5)

is the present value, as of time 0, of cashflows at the end of years 1 through 5. The five-year explicit period is retained for transparency and to allow future extension to non-constant cashflows in the near term; with constant and , it is algebraically equivalent to a single perpetuity .

7.2 Terminal value (perpetuity from year 5)

At the end of year 5, the remaining cashflows are valued as a level perpetuity , then discounted to time 0:

The income component is the sum of (3) and (4):

8. Discount Rate

The base (anchor) rate used in the point estimate and as the foundation for scenario analysis is the Uganda real interest rate. It is obtained from the World Bank World Development Indicators (indicator FR.INR.RINR, country code UGA), using the latest available annual observation in a 2020–2026 window (World Bank, n.d.). If the series is missing or unavailable, is set to 0.14 (14%). Economically, serves as the real base required return; scenario discount rates are formed by adding premiums to (see §9–§10), so that has a consistent interpretation across scenarios (Damodaran, 2023). The rate is stored and used in decimal form. For the point estimate, no premium is added; scenario analysis introduces illiquidity and cashflow-risk premiums, and in the upside case growth is applied only to cashflows, not to the discount rate.

9. Point Estimate

The point estimate of total price is computed by evaluating (2) for , evaluating (3)–(5) with the discount rate of §8 (no premiums) for , and summing according to (1). No growth in cashflow is applied in the point estimate.

10. Scenario Analysis

Three scenarios are reported. In each, land value is unchanged; only the income component is recomputed with a different discount rate (and, in the upside case, with growing cashflows). Parameters and calibration are in the table below and in §10.1.

10.1 Calibration of scenario parameters

The scenario premiums and growth rate are set as follows. (illiquidity premium): real property in Uganda is relatively illiquid; a 10% premium over the base rate is used to reflect the difficulty of selling quickly at fair value, in line with ranges often cited for illiquid investments (Damodaran, 2023). (cashflow-risk premium): rental and operating cashflows are uncertain (vacancy, tenant default, maintenance); an additional 10% is applied in the downside scenario to reflect higher required returns when cashflow risk is stressed. (perpetual growth rate): in the upside scenario, cashflows grow at 3% per annum and the discount rate remains (growth is not also subtracted from the rate, to avoid double-counting). The 3% level is consistent with long-run real growth or inflation expectations in many emerging markets and is a conservative upper bound for sensitivity.

These values are calibration choices for indicative scenarios, not estimated from transaction or returns data. Users conducting sensitivity analysis may vary , , and to test the impact on scenario prices.

11. Limitations and Caveats

• The additive identity (1) does not capture option value, redevelopment value, or interaction between land and income streams.
• Cashflows and discounting are unlevered and pre-tax; financing and taxes are not modeled.
• Greenfield price depends on database coverage, location granularity, and the integration of alternative data (traffic, proximity to amenities, road quality); the Uganda real interest rate is from a single source and may lag.
• Title type and cashflow quality (e.g. occupancy, tenant credit) are not yet incorporated; the framework may be extended to include them.
• The scenario premiums and and growth rate are calibration choices (§10.1), not estimated from transaction or returns data and not derived from a structural asset-pricing model. We recommend users run sensitivity analysis on these parameters when interpreting scenario outputs.

12. Summary

Total estimated price is the sum of land value (greenfield price per unit area × area) and the present value of unlevered, pre-tax cashflows (five-year explicit period plus perpetuity terminal value). The base rate is the Uganda real interest rate; scenario discount rates add illiquidity and cashflow-risk premiums to . In the upside scenario, growth is applied only to cashflows (Gordon-growth terminal value), not to the discount rate, preserving consistency. Scenario parameters are calibrated with stated rationale (§10.1). The framework is consistent with a hybrid sales-comparison and income approach and is intended for indicative valuation and sensitivity analysis.

Notation

References and Data Sources

• Appraisal Institute (2020). The Appraisal of Real Estate (15th ed.). Appraisal Institute.
• Brealey, R., Myers, S., & Allen, F. (2020). Principles of Corporate Finance. McGraw-Hill.
• Geltner, D., Miller, N., Clayton, J., & Eichholtz, P. (2014). Commercial Real Estate Analysis and Investments. Cengage.
• International Valuation Standards Council (2022). IVS 105: Valuation Approaches and Methods.
• World Bank (n.d.). Real Interest Rate (%), Uganda (FR.INR.RINR). World Development Indicators.
• Damodaran, A. (2023). Riskfree Rates and Equity Risk Premiums. NYU Stern School of Business.