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Table 11 2016 relationship of financial performance measured by Tobin’s q to the ratio of nonperforming unsecured consumer loans decomposed into the Best-Practice Ratio and the Ratio in Excess of Best Practice (Lending Inefficiency)

From: Consumer lending efficiency: commercial banks versus a fintech lender

Parameter

Variable

Coefficient estimate

Pr( >|t|)

β0

Intercept

− 2.59067

< 0.0001

β1

ln(book value of asssetsi in 1000 s)

0.42633

< 0.0001

β2

[ln(book value of asssetsi in 1000 s)]2

− 0.01232

< 0.0001

β3

Equity capitali/book value of assetsi

0.32866

0.0019

β4

Unsecured consumer loansi/total loansi

0.20179

0.1004

β5

Best-practice nonperforming consumer loansi/total unsecured consumer loansi

1.55851

0.0647

β6

Excess nonperforming consumer loansi/total unsecured consumer loansi (lending inefficiency)

0.04723

0.5153

β7

[Unsecured consumer loansi/total loansi] × [best-practice nonperforming consumer loansi/total unsecured consumer loansi]

− 5.57497

0.0762

β8

[Unsecured consumer loansi/total loansi] × [excess nonperforming consumer loansi/total unsecured consumer loansi (lending inefficiency)]

− 11.78893

0.0094

# of entities

∂(q ratio)/∂(best-practice np ratio) > 0

N = 202

 

significantly > 0

N = 182

# of entities

∂(q ratio)/∂(best-practice np ratio) < 0

N = 3

 

significantly < 0

N = 0

# of entities

∂(q ratio)/∂(inefficiency ratio) > 0

N = 33

 

significantly > 0

N = 0

# of entities

∂(q ratio)/∂(inefficiency ratio) < 0

N = 172

 

significantly < 0

N = 102

  1. The data set includes 205 top-tier publicly traded bank holding companies at the end of 2016 with plausible values of nonperforming unsecured consumer loans and total loans exceeding 10 percent of assets. Financial performance is gauged by Tobin’s q ratio. Nonperforming loans are the sum of past due and nonaccruing loans and gross charge-offs. Total unsecured consumer loans include gross charge-offs. The decomposition of the nonperforming unsecured consumer loan ratio into the best-practice ratio (inherent credit risk) and the ratio in excess of best practice (lending inefficiency) is obtained from a stochastic frontier that defines a lender’s peers as those with credit risk similar to that of the lender’s consumer loan portfolio, similar economic characteristics of the lender’s local markets, such as the weighted 10-year average GDP growth rate and the weighted average Herfindahl index across these markets, where the weights are bank deposit shares, a similar 3-year growth rate of the lender’s consumer lending,and a similar volume of its consumer lending. Statistical significance is computed from robust standard errors. Bold values indicate statistical significance at stricter than 0.10. Adjusted R2 = 0.6874. AIC \(=-\!\)1372