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Identifying sustainable interest rates while helping African small businesses grow 
Jack Chai 
Insight Data Science Fellow 
2014
Density 
Loss Risk = Fraction of Money Not Paid Back
Density 
In 2014, actual interest rates did not scale with loss risk 
Actual Trend in 2014
Density 
Actual Trend in 2014 
Desired Trend 
Ideally, interest rates would increase with increasing loss risk
Density 
Density
Minimal increase in average interest rate from 6% to 6.8% 
Density 
Density
Minimal increase in average interest rate from 6% to 6.8% 
Would have minimized losses in 2014 from ~$19K to ~$2K ($17K and 89% improvement) 
Density 
Density
Minimal increase in average interest rate from 6% to 6.8% 
Would have minimized losses in 2014 from ~$19K to ~$2K ($17K and 89% improvement) 
Would have minimized losses from 2009 onwards from ~$293K to ~$53K ( $240K and 82% improvement) 
Density 
Density
Predictive model created from combination of logistic regression and machine learning (SVM) 
ā€¢Basic probability theory to deal with class bias
Predictive model created from combination of logistic regression and machine learning (SVM) 
ā€¢Basic probability theory to deal with class bias 
ķ‘ƒķ‘™ķ‘œķ‘ ķ‘ =ķ‘ƒķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”āˆ—(1āˆ’ķ‘ƒķ‘ ķ‘œķ‘šķ‘’ķ‘ķ‘Žķ‘¦ķ‘šķ‘’ķ‘›ķ‘”ķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”)
Predictive model created from combination of logistic regression and machine learning (SVM) 
ā€¢Basic probability theory to deal with class bias 
ķ‘ƒķ‘™ķ‘œķ‘ ķ‘ =ķ‘ƒķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”āˆ—(1āˆ’ķ‘ƒķ‘ ķ‘œķ‘šķ‘’ķ‘ķ‘Žķ‘¦ķ‘šķ‘’ķ‘›ķ‘”ķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”)
Predictive model created from combination of logistic regression and machine learning (SVM) 
Density 
ā€¢Basic probability theory to deal with class bias 
ā€¢Logistic regression identified 4 features that could predict risk 
ā€¢ā€œRiskier populationā€ 
ā€¢Borrower allowed maximum interest rate 
ā€¢Loan Category 
ā€¢Country of applicant
Predictive model created from combination of logistic regression and machine learning (SVM) 
Density 
ā€¢Basic probability theory to deal with class bias 
ā€¢Logistic regression identified 4 features that could predict risk 
ā€¢ā€œRiskier populationā€ 
ā€¢Borrower allowed maximum interest rate 
ā€¢Loan Category 
ā€¢Country of applicant
Higher Risk Associated with Borrowers who entered between August 2012 and August 2013 
Density
Higher Risk Associated with Borrowers who entered between August 2012 and August 2013 
Density 
August 2012 
August 2013
Predictive model created from combination of logistic regression and machine learning (SVM) 
ā€¢Basic probability theory to deal with class bias 
ā€¢Logistic regression identified 4 features that could predict risk 
ā€¢ā€œRiskier populationā€ 
ā€¢Borrower allowed maximum interest rate 
ā€¢Loan Category 
ā€¢Country of applicant 
ā€¢Used identified features to train 
kernel SVM with 10 fold cross validation 
(89% loss recovery)
ā€¢Impact/Significance 
ā€¢Project to recover $48,000 over the next year from loss 
ā€¢Over 5 year period, for every $1 million invested, recovers additional $110,000 that can continue to be reinvested 
ā€¢Actions already taken 
ā€¢Implement the model the risk model for interest rates 
ā€¢Change policy to ask for borrower allowed interest rates again 
ā€¢Actions to be taken 
ā€¢Find policy change that allowed for risky population 
Conclusions
About Jack Chai 
From wikipedia

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Zidisha v6

  • 1. Identifying sustainable interest rates while helping African small businesses grow Jack Chai Insight Data Science Fellow 2014
  • 2.
  • 3.
  • 4.
  • 5. Density Loss Risk = Fraction of Money Not Paid Back
  • 6. Density In 2014, actual interest rates did not scale with loss risk Actual Trend in 2014
  • 7. Density Actual Trend in 2014 Desired Trend Ideally, interest rates would increase with increasing loss risk
  • 9. Minimal increase in average interest rate from 6% to 6.8% Density Density
  • 10. Minimal increase in average interest rate from 6% to 6.8% Would have minimized losses in 2014 from ~$19K to ~$2K ($17K and 89% improvement) Density Density
  • 11. Minimal increase in average interest rate from 6% to 6.8% Would have minimized losses in 2014 from ~$19K to ~$2K ($17K and 89% improvement) Would have minimized losses from 2009 onwards from ~$293K to ~$53K ( $240K and 82% improvement) Density Density
  • 12. Predictive model created from combination of logistic regression and machine learning (SVM) ā€¢Basic probability theory to deal with class bias
  • 13. Predictive model created from combination of logistic regression and machine learning (SVM) ā€¢Basic probability theory to deal with class bias ķ‘ƒķ‘™ķ‘œķ‘ ķ‘ =ķ‘ƒķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”āˆ—(1āˆ’ķ‘ƒķ‘ ķ‘œķ‘šķ‘’ķ‘ķ‘Žķ‘¦ķ‘šķ‘’ķ‘›ķ‘”ķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”)
  • 14. Predictive model created from combination of logistic regression and machine learning (SVM) ā€¢Basic probability theory to deal with class bias ķ‘ƒķ‘™ķ‘œķ‘ ķ‘ =ķ‘ƒķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”āˆ—(1āˆ’ķ‘ƒķ‘ ķ‘œķ‘šķ‘’ķ‘ķ‘Žķ‘¦ķ‘šķ‘’ķ‘›ķ‘”ķ‘‘ķ‘’ķ‘“ķ‘Žķ‘¢ķ‘™ķ‘”)
  • 15. Predictive model created from combination of logistic regression and machine learning (SVM) Density ā€¢Basic probability theory to deal with class bias ā€¢Logistic regression identified 4 features that could predict risk ā€¢ā€œRiskier populationā€ ā€¢Borrower allowed maximum interest rate ā€¢Loan Category ā€¢Country of applicant
  • 16. Predictive model created from combination of logistic regression and machine learning (SVM) Density ā€¢Basic probability theory to deal with class bias ā€¢Logistic regression identified 4 features that could predict risk ā€¢ā€œRiskier populationā€ ā€¢Borrower allowed maximum interest rate ā€¢Loan Category ā€¢Country of applicant
  • 17. Higher Risk Associated with Borrowers who entered between August 2012 and August 2013 Density
  • 18. Higher Risk Associated with Borrowers who entered between August 2012 and August 2013 Density August 2012 August 2013
  • 19. Predictive model created from combination of logistic regression and machine learning (SVM) ā€¢Basic probability theory to deal with class bias ā€¢Logistic regression identified 4 features that could predict risk ā€¢ā€œRiskier populationā€ ā€¢Borrower allowed maximum interest rate ā€¢Loan Category ā€¢Country of applicant ā€¢Used identified features to train kernel SVM with 10 fold cross validation (89% loss recovery)
  • 20. ā€¢Impact/Significance ā€¢Project to recover $48,000 over the next year from loss ā€¢Over 5 year period, for every $1 million invested, recovers additional $110,000 that can continue to be reinvested ā€¢Actions already taken ā€¢Implement the model the risk model for interest rates ā€¢Change policy to ask for borrower allowed interest rates again ā€¢Actions to be taken ā€¢Find policy change that allowed for risky population Conclusions
  • 21. About Jack Chai From wikipedia