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Page 1: Zidisha v6

Identifying sustainable interest rates while helping African small businesses grow

Jack ChaiInsight Data Science Fellow

2014

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Loss Risk = Fraction of Money Not Paid Back

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In 2014, actual interest rates did not scale with loss risk

Actual Trend in 2014

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Actual Trend in 2014

Desired TrendIdeally, interest rates would increase with increasing loss risk

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Minimal increase in average interest rate from 6% to 6.8%D

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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)

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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)

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Predictive model created from combination of logistic regression and machine learning (SVM)

β€’ Basic probability theory to deal with class bias

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Predictive model created from combination of logistic regression and machine learning (SVM)

β€’ Basic probability theory to deal with class bias

𝑃 π‘™π‘œπ‘ π‘  = 𝑃 π‘‘π‘’π‘“π‘Žπ‘’π‘™π‘‘ βˆ— (1 βˆ’ 𝑃 π‘ π‘œπ‘šπ‘’π‘π‘Žπ‘¦π‘šπ‘’π‘›π‘‘ π‘‘π‘’π‘“π‘Žπ‘’π‘™π‘‘ )

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Predictive model created from combination of logistic regression and machine learning (SVM)

β€’ Basic probability theory to deal with class bias

𝑃 π‘™π‘œπ‘ π‘  = 𝑃 π‘‘π‘’π‘“π‘Žπ‘’π‘™π‘‘ βˆ— (1 βˆ’ 𝑃 π‘ π‘œπ‘šπ‘’π‘π‘Žπ‘¦π‘šπ‘’π‘›π‘‘ π‘‘π‘’π‘“π‘Žπ‘’π‘™π‘‘ )

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Predictive model created from combination of logistic regression and machine learning (SVM)

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β€’ Basic probability theory to deal with class bias

β€’ Logistic regression identified 4 features that could predict riskβ€’ β€œRiskier population”

β€’ Borrower allowed maximum interest rate

β€’ Loan Category

β€’ Country of applicant

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Predictive model created from combination of logistic regression and machine learning (SVM)

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β€’ Basic probability theory to deal with class bias

β€’ Logistic regression identified 4 features that could predict riskβ€’ β€œRiskier population”

β€’ Borrower allowed maximum interest rate

β€’ Loan Category

β€’ Country of applicant

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Higher Risk Associated with Borrowers who entered between August 2012 and August 2013

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Higher Risk Associated with Borrowers who entered between August 2012 and August 2013

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Predictive model created from combination of logistic regression and machine learning (SVM)

β€’ Basic probability theory to deal with class bias

β€’ Logistic regression identified 4 features that could predict riskβ€’ β€œRiskier population”

β€’ Borrower allowed maximum interest rate

β€’ Loan Category

β€’ Country of applicant

β€’ Used identified features to train

kernel SVM with 10 fold cross validation

(89% loss recovery)

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β€’ Impact/Significanceβ€’ Project to recover $48,000 over the next year from loss

β€’ Over 5 year period, for every $1 million invested, recovers additional $110,000 that can continue to be reinvested

β€’ Actions already takenβ€’ Implement the model the risk model for interest rates

β€’ Change policy to ask for borrower allowed interest rates again

β€’ Actions to be takenβ€’ Find policy change that allowed for risky population

Conclusions

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About Jack Chai

From wikipedia