Submitted:
26 October 2024
Posted:
28 October 2024
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Abstract
Keywords:
Introduction
Research Objectives
Significance of the Study
Review of Existing Research on Development Projects and Real Options
Review of Existing Research on Development Projects and Real Options
Methodology: STO-PF and Multi-Real Option Models
Implications for Broader Real Estate Finance Frameworks
Conceptual Framework and Core Components
Overview of Real Options
Model Selection Problem: The Binomial Lattice Model
Establishing a Multi-Real Option Model for STO-Based Projects
Input Variable Setting
| Variable | Real Estate STO Financing Context | Equivalent in Financial Options |
|---|---|---|
| Present Value (S) | Represents the present value of the project’s projected cash flows, including future rental income, sales, or other revenue sources. | Asset Price (S) |
| Volatility (σ) | Reflects market uncertainty and the potential variability in property values that may affect future revenue. | Volatility of Asset Price (σ) |
| Strike Price (X1, X2) | Represents the investment required for the first and second phases of development. For example, X1 might be the cost of land acquisition, and X2 could be construction costs. | Strike Price (K) |
| Risk-Free Interest Rate (R) | The time value of money, reflecting the cost of delaying the investment decision. This affects whether it is more profitable to invest now or wait. | Risk-Free Interest Rate (r) |
| Expiration Date (T) | The window of opportunity during which the investment must be made, before the option expires. | Expiration Date (T) |
Model Applications and Validation
Case Study: Aspen Resort STO
Comparison of Models: Applying the Multi-Real Option Model






DCF Model for Aspen
| Classification | t=0 | t=1 | t=2 | t=3 | t=4 | t=5 | t=6 |
|---|---|---|---|---|---|---|---|
| Rent Income | 0 | 0.50 | 0.51 | 0.52 | 0.53 | 0.54 | 0.55 |
| Management Income | 0 | 0.05 | 0.051 | 0.052 | 0.053 | 0.054 | 0.055 |
| Sale Price | 0 | 0 | 0 | 0 | 0 | 0 | 22.57 |
| Total Income | 0 | 0.55 | 0.561 | 0.572 | 0.583 | 0.594 | 23.12 |
| Property Purchase Price | 10.00 | 0 | 0 | 0 | 0 | 0 | 0 |
| Construction & Incidental Costs | 0 | 3.00 | 3.00 | 0 | 0 | 0 | 0 |
| Management Expenses | 0 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 |
| Total Expenditure | 10.00 | 3.10 | 3.10 | 0.10 | 0.10 | 0.10 | 0.10 |
| Net Operating Profit (NOP) | -10.00 | -2.55 | -2.539 | 0.472 | 0.483 | 0.494 | 23.02 |
| Rate of Discount (5%) | 1 | 0.9524 | 0.9070 | 0.8638 | 0.8227 | 0.7835 | 0.7462 |
| Discounted Cash Flows | -10.00 | -2.429 | -2.301 | 0.407 | 0.397 | 0.387 | 17.19 |
| NPV | 3.65 | ||||||
| Variable | Value |
|---|---|
| Present Value (S) | 22.57 million USD |
| Present Value on Initial Investment (S1) | 10.00 million USD3 |
| Present Value on Secondary Investment (S2) | 12.57 million USD |
| Investment Expense on Initial Investment (X1) | 9.070 million USD (discounted over 2 years) |
| Investment Expense on Secondary Investment (X2) | 8.227 million USD (discounted over 4 years) |
| Volatility (σ) | 10.25% |
| Risk-Free Rate (R) | 5% |
| Time Interval (Δt) | 1 year |
| Up Coefficient (u) | 1.1079 |
| Down Coefficient (d) | 0.9026 |
| Similar Probability (p) | 0.7241 |
| Earnings (E) | – |
| Investment Period on Initial Investment (n1) | 2 years |
| Investment Period on Secondary Investment (n2) | 4 years |

Multi-Real Option Model for Aspen
- Initial Value (t=0): The total project value at t=0t=0t=0 is 22.57 million USD, as calculated based on the discounted cash flows from rent and the final sale price.
- Up Coefficient (u): Calculated based on volatility (10.25%) and time interval (1 year):

- 3.
- Down Coefficient (d): Inversely calculated:

- Starting at t=0t=0t=0 with 22.57 million USD.
-
At t=1t=1t=1, we calculate two outcomes: one upward and one downward.
- ○
- Upward value: 22.57×1.1079=25.0022.57 =25.00
- ○
- Downward value: 22.57×0.9026=20.3722.57 =20.37
- For t=2t=2t=2, continue calculating upward and downward movements for each of the previous nodes.
- Initial Value (t=0): S1=10.00S1 = 10.00S1=10.00 million USD.
-
We apply the same up (u) and down (d) coefficients calculated for Table 4.
- ○
- Upward movement at t=1: 10.00×1.1079=11.0810.00 =11.08
- ○
- Downward movement at t=1: 10.00×0.9026=9.0310.00 =9.03
- This process continues for each time step, building out the lattice for t=1 to t=5.
| t=0 | t=1 | t=2 | t=3 | t=4 | t=5 |
|---|---|---|---|---|---|
| 12.57 | 13.93 | 15.43 | 17.08 | 18.88 | 20.85 |
| 11.35 | 12.57 | 13.93 | 15.43 | 17.08 | |
| 10.25 | 11.35 | 12.57 | 13.93 | ||
| 9.25 | 10.25 | 11.35 | |||
| 8.35 | 9.25 | ||||
| 7.54 |
- Initial Value (t=0): S2=12.57 million USD.
-
We apply the same up (u) and down (d) factors.
- ○
- Upward movement: 12.57×1.1079=13.9312.57 =13.93
- ○
- Downward movement: 12.57×0.9026=11.3512.57 =11.35
Comparative Validation Results
Conclusion
Summary of Findings
Recommendations for Future Research
Limitations and Future Development
Final Thoughts
Data Availability Statement
References
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| t=0 | t=1 | t=2 | t=3 | t=4 | t=5 |
|---|---|---|---|---|---|
| 22.57 | 25.00 | 27.69 | 30.67 | 33.95 | 37.55 |
| 20.37 | 22.57 | 25.00 | 27.69 | 30.67 | |
| 18.39 | 20.37 | 22.57 | 25.00 | ||
| 16.61 | 18.39 | 20.37 | |||
| 14.98 | 16.61 | ||||
| 13.50 |
| t=0 | t=1 | t=2 | t=3 | t=4 | t=5 |
|---|---|---|---|---|---|
| 10.00 | 11.08 | 12.27 | 13.58 | 15.01 | 16.57 |
| 9.03 | 10.00 | 11.08 | 12.27 | 13.58 | |
| 8.16 | 9.03 | 10.00 | 11.08 | ||
| 7.38 | 8.16 | 9.03 | |||
| 6.67 | 7.38 | ||||
| 6.03 |
| t=0 | t=1 | t=2 | t=3 | t=4 | t=5 |
|---|---|---|---|---|---|
| 10.00 | 11.08 | - | - | - | - |
| 9.03 | - | - | - | - | |
| - | - | - | - | ||
| - | - | - | - | ||
| - | - | - | - | ||
| - | - | - | - |
| t=0 | t=1 | t=2 | t=3 | t=4 | t=5 |
|---|---|---|---|---|---|
| 10.00 | 11.08 | 15.43 | 17.08 | 18.88 | 20.85 |
| 9.03 | 12.57 | 13.93 | 15.43 | 17.08 | |
| 10.25 | 11.35 | 12.57 | 13.93 | ||
| 9.25 | 10.25 | 11.35 | |||
| 8.35 | 9.25 | ||||
| 7.54 |
| 1 | Dragana Cvijanović (2014) highlights that valuing real estate as collateral in PF structures may inflate financial risk due to rising property prices and debt ratios. Matthew Smith (2023) finds that projects with higher equity ratios offer greater long-term success and investor stability. To address these issues, more flexible financing methods like STOs are recommended.. |
| 2 | Despite successfully raising $18 million, the Aspen Coin project struggled to scale and maintain liquidity in the secondary market due to regulatory complexity. Aspen Coin highlights the potential of STOs to revolutionize real estate finance by improving liquidity and enabling global investor participation, while also highlighting the hurdles associated with regulatory compliance and consistent market liquidity. |
| 3 | Property Appraisal Value: $224 million for 179 units, Mortgage: $130 million, Equity: $94 million, NOI: $13.2 million assumes a present value of $10 million for the initial investment in a conservative way. |
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