Submitted:
15 March 2025
Posted:
17 March 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction and Motivation
2. Literature Review and Hypotheses
2.1. Supply Chain Disruption Mitigation Mechanism Studies
2.1.1. Technology
2.1.2. FinTech Solutions
2.1.3. Firm Characteristics
2.1.4. Case Studies
2.2. Information Asymmetry
2.3. Risk Scoring Models
2.4. Hypotheses
3. Research Methodology and Data Collection
3.1. Research Modelling
3.1.1. Linear Modeling
3.1.2. Bayesian Estimation
3.2. Data Description
4. Findings and Discussion
4.1. Linear Risk-Return Relationship: OLS and Bayesian
4.1.1. Risk and Return on Ordinary Least Squared Models
4.1.2. Risk and Return on Bayesian Models
4.2. Risk Assessment and Profitability by Industry
5. Conclusions and Extensions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A
- Scores are initially computed based on external business-credit data, including conventional business credit scores and publicly available financial data. This initial scoring is used at the point at which the Crowdz Platform (and hence the Funder) has no specific information about either the Seller of the invoices or of the Obligors on said invoices.
- (a) Accounting and banking data is analyzed to determine the Sellers’ and Obligors’ (i.e., Buyers’) reliability and timing of the payment of their debt obligations, both historically and in real-time.(b) Simultaneously, Seller financial data is fed into a real-time regression model to further pin down payment reliability and timing.
- In like manner as described with regard to Step 2(a) above, Crowdz Platform data is analyzed to determine the Sellers’ reliability and timing of the repayment of funding on their purchased invoices, both globally and on an Obligor-by-Obligor (i.e., Buyer-by-Buyer) basis, both historically and in real-time.
- The use of artificial intelligence (AI), such as through matching of like companies, has been explored but not yet implemented.
| Variable | Description |
|---|---|
| SURF | Invoice SURF Score (Obligor SURF score * Seller SURF score/100) |
| RETURN IRR with SURF IRR without SURF |
Periodic return over the time-period funding to collection = profit/funded amount, in which profit is the difference between repaid amount and funded amount Annual Internal Rate of Return (annualized periodic return) with using CROWDZ SURF score Annual Internal Rate of Return (annualized periodic return) without using CROWDZ SURF score |
| DILUTION RATE | Ratio that captures proportion of the original amount financed = (Invoice Amount-Financed Amount)/Invoice Amount |
| ACTUAL TERM | Actual amount of time over which the financed invoice is paid to the Funder |
| SIZE | Natural log of the invoice amount |
| Variable | SURF | RETURN | IRR with SURF | IRR without SURF | DILUTION RATE | ACTUAL TERM | SIZE |
|---|---|---|---|---|---|---|---|
| SURF | 1 | ||||||
| RETURN | -0.666 | 1 | |||||
| IRR with SURF | -0.796 | 0.666 | 1 | ||||
| IRR without SURF | 0.141 | -0.039 | -0.130 | 1 | |||
| DILUTION RATE | 0.174 | -0.592 | -0.094 | 0.115 | 1 | ||
| ACTUAL TERM | -0.234 | 0.555 | 0.221 | -0.476 | -0.447 | 1 | |
| SIZE | -0.136 | 0.252 | 0.083 | -0.075 | -0.460 | 0.144 | 1 |
| Statistic | IRR without SURF | IRR with SURF | Difference |
|---|---|---|---|
| Mean | 15.39% | 16.91% | 1.53% |
| Standard Error | 0.09% | 0.04% | 0.11% |
| Median | 13.77% | 15.34% | 2.54% |
| Mode | 11.80% | 15.29% | 4.96% |
| Standard Deviation | 12.80% | 5.75% | 14.69% |
| Sample Variance | 0.02 | 0.00 | 0.02 |
| Kurtosis | 27.06 | 71.13 | 18.88 |
| Skewness | -0.65 | 7.59 | 1.32 |
| Range | 199.89% | 84.90% | 204.91% |
| Minimum | -100.00% | 15.00% | -84.69% |
| Maximum | 99.89% | 99.90% | 120.23% |
| Count | 18304 | 18304 | 18304 |
| Confidence Level (95.0%) | 0.00185 | 0.00083 | 0.00213 |
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| 1 | See Appendix A1 for SURF methodology. |
| 2 | Proprietary data provided by Crowdz. |
| 3 | Table A1 in Appendix presents the description of variables. |
| 4 | SURF methodology is detailed in Appendix A1. |
| 5 | To replicate the linear estimates, use the following command: regress Y X. Where Y is the dependent variable and X includes one or more independent variables. |
| 6 | To replicate the Bayesian linear regressions, use the following command: bayes: regress Y X. Where Y is the dependent variable and X includes one or more independent variables. |
| 7 | A difference of mean t-test between the IRR with SURF and the IRR without SURF shows a positive difference of 1.53%, significant at 99% level (p-value of 0.002). |
| 8 | Crowdz provided predictability and favorability of payment outcomes analysis and the comparison of receivables transactions on META platform in Appendix Table A4 and Table A5 supplement our findings. When SURF score is used in the transactions, the payment outcomes are highly predictive and very favorable and when SURF score is not used in the transactions, the payment outcomes are less predictive and less favorable. |
| 9 | For risk-pricing and flight to safety theory, see for instance, [4,32]. |

| Variable | Obs | Mean | Std. Dev. | Min | Max |
|---|---|---|---|---|---|
| SURF | 18,304 | 92.077 | 14.247 | 1.575 | 99.977 |
| RETURN | 18,304 | 0.019 | 0.021 | 0.005 | 0.312 |
| IRR with SURF | 18,304 | 0.169 | 0.058 | 0.150 | 0.999 |
| IRR without SURF | 18,304 | 0.154 | 0.128 | -1 | 0.999 |
| DILUTION RATE | 18,304 | 0.135 | 0.046 | 0 | 0.350 |
| ACTUAL TERM | 18,304 | 3.673 | 0.681 | 0 | 6.512 |
| SIZE | 18,304 | 5.396 | 1.435 | -0.282 | 13.144 |
| Full Sample | |||
|---|---|---|---|
|
Variable |
(1) RETURN |
(2) IRR with SURF |
(3) IRR without SURF |
| SURF | -0.001*** (-44.81) |
-0.004*** (-38.59) |
|
| DILUTION RATE | -0.039*** (-16.34) |
0.068*** (10.26) |
0.079** (3.15) |
| ACTUAL TERM | 0.004*** (31.63) |
0.005*** (14.90) |
-0.121*** (-86.93) |
| SIZE | -0.021*** (-49.27) |
0.004*** (6.89) |
-0.075*** (-41.41) |
| CONS | 0.132*** (39.13) |
0.469*** (77.58) |
0.923*** (82.89) |
| N | 18,288 | 18,288 | 18,288 |
| F-Statistics | 77.37 (0.000) |
54.08 (0.000) |
86.50 (0.000) |
| R-Squared | 0.864 | 0.830 | 0.345 |
| Full Sample | ||||||
|---|---|---|---|---|---|---|
| Mean | Std. Dev. | MCSE | Median | [95% Cred. Interval] | ||
|
(1) RETURN | ||||||
| SURF | -0.001 | 0.091 | 0.007 | -0.002 | -0.003 | -0.002 |
| DILUTION RATE | -0.040 | 0.028 | 0.051 | -0.041 | -0.043 | -0.036 |
| ACTUAL TERM | 0.004 | 0.001 | 0.006 | 0.004 | 0.003 | 0.004 |
| SIZE | -0.021 | 0.002 | 0.003 | -0.021 | -0.022 | -0.020 |
| Constant | 0.131 | 0.001 | 0.009 | 0.131 | 0.129 | 0.133 |
| Sigma2 | 0.133 | 0.060 | 0.007 | 0.008 | 0.080 | 0.083 |
| Acceptance Rate | 0.359 | |||||
|
(2) IRR with SURF | ||||||
| SURF | -0.004 | 0.018 | 0.017 | -0.037 | -0.003 | -0.004 |
| DILUTION RATE | 0.065 | 0.025 | 0.076 | 0.065 | 0.060 | 0.070 |
| ACTUAL TERM | 0.005 | 0.034 | 0.015 | 0.049 | 0.004 | 0.006 |
| SIZE | 0.004 | 0.056 | 0.054 | 0.042 | 0.003 | 0.005 |
| Constant | 0.469 | 0.027 | 0.014 | 0.469 | 0.464 | 0.475 |
| Sigma2 | 0.063 | 0.059 | 0.047 | 0.063 | 0.062 | 0.064 |
| Acceptance Rate | 0.324 | |||||
|
(3) IRR without SURF | ||||||
| DILUTION RATE | 0.077 | 0.025 | 0.014 | 0.076 | 0.031 | 0.127 |
| ACTUAL TERM | -0.121 | 0.001 | 0.057 | -0.121 | -0.123 | -0.118 |
| SIZE | -0.075 | 0.018 | 0.071 | -0.075 | -0.078 | -0.072 |
| Constant | 0.923 | 0.011 | 0.046 | 0.922 | 0.902 | 0.943 |
| Sigma2 | 0.011 | 0.012 | 0.056 | 0.013 | 0.011 | 0.012 |
| Acceptance Rate | 0.340 | |||||
| N | 18,288 | 18,288 | 18,288 | 18,288 | 18,288 | 18,288 |
| Panel A. RETURN | |||||
|---|---|---|---|---|---|
| Accommodation & Food Services | Construction | Manufacturing | Professional Scientific & Technical Services | Real Estate, Rentals & Leasing | |
| SURF | -0.016*** (-5.41) |
-0.024*** (-8.45) |
-0.033*** (-27.55) |
-0.036*** (-13.11) |
-0.058*** (-87.69) |
| DILUTION RATE | 0.052*** (7.15) |
-0.007 (- 0.76) |
-0.091*** (-20.52) |
0.058*** (8.06) |
-0.005* (-1.85) |
| ACTUAL TERM | 0.005*** (9.91) |
0.005*** (8.89) |
0.004*** (18.86) |
0.002*** (4.50) |
0.001*** (12.09) |
| SIZE | -0.026*** (-30.67) |
-0.025*** (-26.61) |
-0.019*** (-48.48) |
-0.018*** (-20.81) |
-0.010*** (-52.39) |
| CONS | 0.124*** (29.68) |
0.136*** (27.61) |
0.131*** (73.92) |
0.117*** (30.50) |
0.112*** (41.15) |
| N | 1,089 | 1,231 | 7,081 | 575 | 8,027 |
| F-Statistics | 62.98 (0.000) |
93.49 (0.000) |
87.39 (0.000) |
77.35 (0.000) |
78.92 (0.000) |
| R-Squared | 0.885 | 0.834 | 0.848 | 0.876 | 0.874 |
| Panel B. IRR with SURF | |||||
| Accommodation & Food Services | Construction | Manufacturing | Professional Scientific & Technical Services | Real Estate, Rentals & Leasing | |
| SURF | -0.049*** (-44.74) |
-0.087*** (-48.81) |
-0.059*** (-24.13) |
-0.036*** (-25.71) |
-0.039*** (-12.83) |
| DILUTION RATE | 0.024 (1.00) |
0.111*** (4.49) |
0.061*** (5.74) |
0.196*** (5.23) |
0.049** (3.14) |
| ACTUAL TERM | 0.070*** (4.11) |
0.043** (2.68) |
0.042*** (8.20) |
0.041 (1.59) |
0.044*** (9.40) |
| SIZE | 0.089** (3.00) |
0.042 (0.02) |
0.015* (1.62) |
-0.027 (-0.59) |
0.010*** (10.27) |
| CONS | 0.518*** (36.15) |
0.500*** (35.75) |
0.470*** (110.74) |
0.475*** (24.08) |
0.462*** (111.40) |
| N | 1089 | 1231 | 7081 | 575 | 8027 |
| F-Statistics | 76.36 (0.000) |
84.76 (0.000) |
67.75 (0.000) |
31.65 (0.000) |
43.34 (0.000) |
| R-Squared | 0.793 | 0.822 | 0.829 | 0.754 | 0.820 |
| Panel C. IRR without SURF | |||||
| Accommodation & Food Services | Construction | Manufacturing | Professional Scientific & Technical Services | Real Estate, Rentals & Leasing | |
| DILUTION RATE | -0.177** (-3.03) |
0.166* (1.95) |
0.278*** (5.52) |
0.600*** (6.81) |
0.154** (3.05) |
| ACTUAL TERM | -0.120*** (-26.10) |
-0.110*** (-17.83) |
-0.105*** (-37.21) |
-0.117*** (-18.64) |
-0.142*** (-93.52) |
| SIZE | -0.059*** (-9.45) |
-0.086*** (-10.89) |
-0.080*** (-20.56) |
-0.044*** (-5.58) |
-0.053*** (-25.51) |
| CONS | 0.881*** (22.64) |
0.932*** (17.40) |
0.851*** (36.25) |
0.684*** (14.18) |
0.888*** (66.06) |
| N | 1089 | 1231 | 7081 | 575 | 8027 |
| F-Statistics | 76.59 (0.000) |
87.78 (0.000) |
93.45 (0.000) |
66.97 (0.000) |
98.76 (0.000) |
| R-Squared | 0.420 | 0.345 | 0.358 | 0.550 | 0.634 |
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