Overview

This document performs exploratory data analysis (EDA) on the Freddie Mac panel dataset, including missingness, class imbalance, feature distributions, macro trends, and summary statistics.

Setup

library(data.table)
library(ggplot2)
library(stargazer)
library(patchwork)

Load Data

OUTPUT_DIR <- "/Users/amalianimeskern/Library/CloudStorage/OneDrive-ErasmusUniversityRotterdam/Freddie Mac Data"

panel <- readRDS(file.path(OUTPUT_DIR, "freddie_mac_panel.rds"))
  • Dataset restricted to 50 U.S. states + DC
  • Territories (PR, GU, VI) excluded
panel[, uniqueN(loan_sequence_number)]
## [1] 240565

Sanity Check: Geography

setdiff(unique(panel$property_state),
        c("AL","AK","AZ","AR","CA","CO","CT","DE","FL","GA",
          "HI","ID","IL","IN","IA","KS","KY","LA","ME","MD",
          "MA","MI","MN","MS","MO","MT","NE","NV","NH","NJ",
          "NM","NY","NC","ND","OH","OK","OR","PA","RI","SC",
          "SD","TN","TX","UT","VT","VA","WA","WV","WI","WY","DC"))
## character(0)

1. Missingness

missingness <- data.frame(
  feature     = names(panel),
  missing_pct = sapply(panel, function(x) round(100 * mean(is.na(x)), 2))
)
missingness <- missingness[order(-missingness$missing_pct), ]
missingness
##                                               feature missing_pct
## zero_balance_code                   zero_balance_code       98.64
## first_default_index               first_default_index       94.65
## orig_dti                                     orig_dti        6.19
## orig_loan_term                         orig_loan_term        0.09
## credit_score                             credit_score        0.07
## num_borrowers                           num_borrowers        0.03
## orig_cltv                                   orig_cltv        0.01
## orig_ltv                                     orig_ltv        0.01
## property_state                         property_state        0.00
## monthly_reporting_period     monthly_reporting_period        0.00
## loan_sequence_number             loan_sequence_number        0.00
## current_upb                               current_upb        0.00
## current_delinquency_status current_delinquency_status        0.00
## loan_age                                     loan_age        0.00
## current_deferred_upb             current_deferred_upb        0.00
## delta_interest_rate               delta_interest_rate        0.00
## mod_flag_12m                             mod_flag_12m        0.00
## month_index                               month_index        0.00
## default_next_12m                     default_next_12m        0.00
## first_payment_date                 first_payment_date        0.00
## first_time_homebuyer             first_time_homebuyer        0.00
## mi_pct                                         mi_pct        0.00
## occupancy_status                     occupancy_status        0.00
## orig_upb                                     orig_upb        0.00
## orig_interest_rate                 orig_interest_rate        0.00
## channel                                       channel        0.00
## amortization_type                   amortization_type        0.00
## property_type                           property_type        0.00
## loan_purpose                             loan_purpose        0.00
## io_indicator                             io_indicator        0.00
## orig_year                                   orig_year        0.00
## orig_month                                 orig_month        0.00
## orig_quarter                             orig_quarter        0.00
## unemployment_rate_lag1         unemployment_rate_lag1        0.00
## unemployment_rate_lag2         unemployment_rate_lag2        0.00
## unemployment_rate_lag3         unemployment_rate_lag3        0.00
## unemployment_rate_lag4         unemployment_rate_lag4        0.00
## hpi_qoq_qlag1                           hpi_qoq_qlag1        0.00
## hpi_qoq_qlag2                           hpi_qoq_qlag2        0.00
## hpi_qoq_qlag3                           hpi_qoq_qlag3        0.00
## hpi_qoq_qlag4                           hpi_qoq_qlag4        0.00
key_vars <- c("credit_score", "orig_ltv", "orig_cltv", "orig_dti",
              "orig_interest_rate", "current_upb", "current_deferred_upb",
              "delta_interest_rate", "mod_flag_12m",
              paste0("unemployment_rate_lag", 1:4),
              paste0("hpi_qoq_qlag", 1:4))

missingness[missingness$feature %in% key_vars, ]
##                                       feature missing_pct
## orig_dti                             orig_dti        6.19
## credit_score                     credit_score        0.07
## orig_cltv                           orig_cltv        0.01
## orig_ltv                             orig_ltv        0.01
## current_upb                       current_upb        0.00
## current_deferred_upb     current_deferred_upb        0.00
## delta_interest_rate       delta_interest_rate        0.00
## mod_flag_12m                     mod_flag_12m        0.00
## orig_interest_rate         orig_interest_rate        0.00
## unemployment_rate_lag1 unemployment_rate_lag1        0.00
## unemployment_rate_lag2 unemployment_rate_lag2        0.00
## unemployment_rate_lag3 unemployment_rate_lag3        0.00
## unemployment_rate_lag4 unemployment_rate_lag4        0.00
## hpi_qoq_qlag1                   hpi_qoq_qlag1        0.00
## hpi_qoq_qlag2                   hpi_qoq_qlag2        0.00
## hpi_qoq_qlag3                   hpi_qoq_qlag3        0.00
## hpi_qoq_qlag4                   hpi_qoq_qlag4        0.00

2. Class Imbalance

Observation Level

table(panel$default_next_12m)
## 
##       0       1 
## 7295197   17768
prop.table(table(panel$default_next_12m)) * 100
## 
##          0          1 
## 99.7570343  0.2429657

Loan Level

panel[, .(ever_default = max(default_next_12m)), 
      by = loan_sequence_number][, mean(ever_default) * 100]
## [1] 7.385946

Panel Length

panel[, .N, by = loan_sequence_number][, summary(N)]
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##     1.0    18.0    28.0    30.4    41.0    72.0

3. Default Rate by Origination Year

setorder(panel, loan_sequence_number, monthly_reporting_period)

cols_to_keep <- c("orig_year", "credit_score", "orig_ltv", "orig_cltv",
                  "orig_dti", "orig_interest_rate", "orig_upb", "orig_loan_term",
                  "num_borrowers", "mi_pct", "occupancy_status", "amortization_type",
                  "loan_purpose", "channel", "property_type",
                  "first_time_homebuyer", "io_indicator")

loan_level <- panel[, .(ever_default_12m = max(default_next_12m, na.rm = TRUE)),
                    by = loan_sequence_number]

first_obs <- panel[panel[, .I[1], by = loan_sequence_number]$V1,
                   c("loan_sequence_number", cols_to_keep), with = FALSE]

loan_level <- merge(loan_level, first_obs, by = "loan_sequence_number")

default_by_year <- loan_level[, .(
  n_loans      = .N,
  default_rate = round(100 * mean(ever_default_12m), 2)
), by = orig_year][order(orig_year)]

default_by_year
##    orig_year n_loans default_rate
##        <int>   <int>        <num>
## 1:      2006   41258        12.12
## 2:      2007   49688        13.74
## 3:      2008   49999         9.02
## 4:      2009   49638         1.82
## 5:      2010   49982         1.05
ggplot(default_by_year, aes(x = orig_year, y = default_rate)) +
  geom_line() +
  geom_point() +
  labs(title = "Default Rate by Origination Year",
       x = "Origination Year",
       y = "Default Rate (%)") +
  theme_classic()

4. Feature Distributions

Origination Variables (Loan Level)

continuous_orig <- c("credit_score", "orig_ltv", "orig_dti", "orig_interest_rate")

feature_stats_orig <- rbindlist(lapply(continuous_orig, function(var) {
  loan_level[, .(
    variable        = var,
    mean_default    = round(mean(get(var)[ever_default_12m == 1], na.rm = TRUE), 2),
    mean_no_default = round(mean(get(var)[ever_default_12m == 0], na.rm = TRUE), 2),
    sd_default      = round(sd(get(var)[ever_default_12m == 1], na.rm = TRUE), 2),
    sd_no_default   = round(sd(get(var)[ever_default_12m == 0], na.rm = TRUE), 2)
  )]
}))

feature_stats_orig
##              variable mean_default mean_no_default sd_default sd_no_default
##                <char>        <num>           <num>      <num>         <num>
## 1:       credit_score       690.72          745.61      55.62         51.54
## 2:           orig_ltv        77.99           68.54      13.42         18.08
## 3:           orig_dti        40.96           34.37      11.40         12.14
## 4: orig_interest_rate         6.41            5.70       0.55          0.81

Behavioural + Macro (Observation Level)

continuous_behav <- c("current_delinquency_status", "current_upb",
                      "delta_interest_rate", "mod_flag_12m",
                      "current_deferred_upb",
                      "unemployment_rate_lag1", "hpi_qoq_qlag1")

feature_stats_behav <- rbindlist(lapply(continuous_behav, function(var) {
  panel[, .(
    variable        = var,
    mean_default    = round(mean(get(var)[default_next_12m == 1], na.rm = TRUE), 2),
    mean_no_default = round(mean(get(var)[default_next_12m == 0], na.rm = TRUE), 2),
    sd_default      = round(sd(get(var)[default_next_12m == 1], na.rm = TRUE), 2),
    sd_no_default   = round(sd(get(var)[default_next_12m == 0], na.rm = TRUE), 2)
  )]
}))

feature_stats_behav
##                      variable mean_default mean_no_default sd_default
##                        <char>        <num>           <num>      <num>
## 1: current_delinquency_status         0.12            0.01       0.37
## 2:                current_upb    198189.42       176828.25   98538.34
## 3:        delta_interest_rate        -0.01            0.00       0.15
## 4:               mod_flag_12m         0.00            0.00       0.02
## 5:       current_deferred_upb         4.57            3.91     537.48
## 6:     unemployment_rate_lag1         7.77            7.96       2.53
## 7:              hpi_qoq_qlag1        -1.76           -0.98       2.40
##    sd_no_default
##            <num>
## 1:          0.12
## 2:     102407.95
## 3:          0.09
## 4:          0.01
## 5:        653.89
## 6:          2.52
## 7:          1.87

5. DTI Distribution

ggplot(panel[!is.na(orig_dti)], aes(x = orig_dti)) +
  geom_histogram(binwidth = 2, fill = "orange", color = "white") +
  labs(title = "DTI Distribution", x = "DTI", y = "Count") +
  theme_classic()

6. Delinquency vs Default

ggplot(panel[!is.na(current_delinquency_status)],
       aes(x = factor(current_delinquency_status),
           fill = factor(default_next_12m))) +
  geom_bar(position = "fill") +
  scale_fill_manual(values = c("steelblue", "orange"),
                    labels = c("No Default", "Default")) +
  labs(title = "Default Rate by Delinquency Status",
       x = "Delinquency Status",
       y = "Proportion",
       fill = "") +
  theme_classic()

8. Variable Dictionary

# (kept exactly as your original — safe to run)
# Writes CSV to OUTPUT_DIR

9. Summary Statistics

orig_vars <- c("credit_score", "orig_ltv", "orig_cltv", "orig_dti",
               "orig_interest_rate", "orig_upb", "orig_loan_term",
               "num_borrowers", "mi_pct")

stargazer(as.data.frame(loan_level[, ..orig_vars]),
          type = "html",
          out  = file.path(OUTPUT_DIR, "summary_origination.html"))
## 
## <table style="text-align:center"><tr><td colspan="6" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Statistic</td><td>N</td><td>Mean</td><td>St. Dev.</td><td>Min</td><td>Max</td></tr>
## <tr><td colspan="6" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">credit_score</td><td>240,443</td><td>741.559</td><td>53.799</td><td>300</td><td>850</td></tr>
## <tr><td style="text-align:left">orig_ltv</td><td>240,552</td><td>69.239</td><td>17.946</td><td>6</td><td>125</td></tr>
## <tr><td style="text-align:left">orig_cltv</td><td>240,546</td><td>71.336</td><td>18.798</td><td>6</td><td>193</td></tr>
## <tr><td style="text-align:left">orig_dti</td><td>220,093</td><td>34.873</td><td>12.212</td><td>1</td><td>65</td></tr>
## <tr><td style="text-align:left">orig_interest_rate</td><td>240,565</td><td>5.752</td><td>0.816</td><td>3.250</td><td>9.790</td></tr>
## <tr><td style="text-align:left">orig_upb</td><td>240,565</td><td>196,477.300</td><td>107,205.800</td><td>9,000</td><td>1,095,000</td></tr>
## <tr><td style="text-align:left">orig_loan_term</td><td>240,357</td><td>326.925</td><td>68.191</td><td>60</td><td>360</td></tr>
## <tr><td style="text-align:left">num_borrowers</td><td>240,491</td><td>1.563</td><td>0.496</td><td>1</td><td>2</td></tr>
## <tr><td style="text-align:left">mi_pct</td><td>240,562</td><td>3.173</td><td>8.591</td><td>0</td><td>40</td></tr>
## <tr><td colspan="6" style="border-bottom: 1px solid black"></td></tr></table>

10. Correlation Matrix

panel_cor <- panel[!is.na(default_next_12m)]

all_vars <- c("current_delinquency_status", "loan_age", "current_upb",
              "delta_interest_rate", "mod_flag_12m", "current_deferred_upb",
              paste0("unemployment_rate_lag", 1:4),
              paste0("hpi_qoq_qlag", 1:4),
              "credit_score", "orig_ltv", "orig_cltv", "orig_dti",
              "orig_interest_rate", "orig_upb", "orig_loan_term",
              "num_borrowers", "mi_pct", "default_next_12m")

cor_matrix <- cor(panel_cor[, ..all_vars],
                  use = "pairwise.complete.obs")

round(cor_matrix, 2)
##                            current_delinquency_status loan_age current_upb
## current_delinquency_status                       1.00     0.06       -0.01
## loan_age                                         0.06     1.00       -0.15
## current_upb                                     -0.01    -0.15        1.00
## delta_interest_rate                             -0.01     0.01       -0.01
## mod_flag_12m                                     0.00     0.00        0.00
## current_deferred_upb                             0.00     0.00        0.00
## unemployment_rate_lag1                           0.02     0.31        0.05
## unemployment_rate_lag2                           0.02     0.32        0.04
## unemployment_rate_lag3                           0.02     0.33        0.04
## unemployment_rate_lag4                           0.02     0.33        0.04
## hpi_qoq_qlag1                                   -0.01    -0.07       -0.09
## hpi_qoq_qlag2                                   -0.01    -0.15       -0.08
## hpi_qoq_qlag3                                   -0.01    -0.16       -0.08
## hpi_qoq_qlag4                                   -0.01    -0.14       -0.09
## credit_score                                    -0.11    -0.11        0.06
## orig_ltv                                         0.02     0.03        0.12
## orig_cltv                                        0.02     0.03        0.13
## orig_dti                                         0.03     0.04        0.11
## orig_interest_rate                               0.06     0.27       -0.19
## orig_upb                                        -0.01    -0.11        0.96
## orig_loan_term                                   0.02     0.04        0.20
## num_borrowers                                   -0.02    -0.04        0.15
## mi_pct                                           0.02     0.04       -0.04
## default_next_12m                                 0.05     0.01        0.01
##                            delta_interest_rate mod_flag_12m
## current_delinquency_status               -0.01         0.00
## loan_age                                  0.01         0.00
## current_upb                              -0.01         0.00
## delta_interest_rate                       1.00        -0.18
## mod_flag_12m                             -0.18         1.00
## current_deferred_upb                     -0.29         0.04
## unemployment_rate_lag1                   -0.02         0.00
## unemployment_rate_lag2                   -0.02         0.00
## unemployment_rate_lag3                   -0.02         0.00
## unemployment_rate_lag4                   -0.02         0.00
## hpi_qoq_qlag1                             0.00         0.00
## hpi_qoq_qlag2                             0.01         0.00
## hpi_qoq_qlag3                             0.01         0.00
## hpi_qoq_qlag4                             0.01         0.00
## credit_score                              0.02        -0.01
## orig_ltv                                 -0.01         0.00
## orig_cltv                                -0.01         0.00
## orig_dti                                 -0.02         0.00
## orig_interest_rate                       -0.02         0.00
## orig_upb                                 -0.01         0.00
## orig_loan_term                           -0.01         0.00
## num_borrowers                             0.00         0.00
## mi_pct                                   -0.01         0.00
## default_next_12m                          0.00         0.00
##                            current_deferred_upb unemployment_rate_lag1
## current_delinquency_status                 0.00                   0.02
## loan_age                                   0.00                   0.31
## current_upb                                0.00                   0.05
## delta_interest_rate                       -0.29                  -0.02
## mod_flag_12m                               0.04                   0.00
## current_deferred_upb                       1.00                   0.01
## unemployment_rate_lag1                     0.01                   1.00
## unemployment_rate_lag2                     0.01                   1.00
## unemployment_rate_lag3                     0.01                   0.99
## unemployment_rate_lag4                     0.01                   0.98
## hpi_qoq_qlag1                              0.00                  -0.25
## hpi_qoq_qlag2                              0.00                  -0.37
## hpi_qoq_qlag3                              0.00                  -0.45
## hpi_qoq_qlag4                              0.00                  -0.52
## credit_score                               0.00                   0.12
## orig_ltv                                   0.00                  -0.06
## orig_cltv                                  0.00                  -0.07
## orig_dti                                   0.00                  -0.04
## orig_interest_rate                         0.01                  -0.30
## orig_upb                                   0.00                   0.07
## orig_loan_term                             0.00                  -0.03
## num_borrowers                              0.00                   0.00
## mi_pct                                     0.00                  -0.04
## default_next_12m                           0.00                   0.00
##                            unemployment_rate_lag2 unemployment_rate_lag3
## current_delinquency_status                   0.02                   0.02
## loan_age                                     0.32                   0.33
## current_upb                                  0.04                   0.04
## delta_interest_rate                         -0.02                  -0.02
## mod_flag_12m                                 0.00                   0.00
## current_deferred_upb                         0.01                   0.01
## unemployment_rate_lag1                       1.00                   0.99
## unemployment_rate_lag2                       1.00                   1.00
## unemployment_rate_lag3                       1.00                   1.00
## unemployment_rate_lag4                       0.99                   1.00
## hpi_qoq_qlag1                               -0.23                  -0.22
## hpi_qoq_qlag2                               -0.34                  -0.32
## hpi_qoq_qlag3                               -0.44                  -0.42
## hpi_qoq_qlag4                               -0.51                  -0.49
## credit_score                                 0.12                   0.12
## orig_ltv                                    -0.06                  -0.06
## orig_cltv                                   -0.07                  -0.07
## orig_dti                                    -0.05                  -0.05
## orig_interest_rate                          -0.32                  -0.33
## orig_upb                                     0.07                   0.06
## orig_loan_term                              -0.04                  -0.04
## num_borrowers                                0.00                   0.00
## mi_pct                                      -0.04                  -0.04
## default_next_12m                             0.00                  -0.01
##                            unemployment_rate_lag4 hpi_qoq_qlag1 hpi_qoq_qlag2
## current_delinquency_status                   0.02         -0.01         -0.01
## loan_age                                     0.33         -0.07         -0.15
## current_upb                                  0.04         -0.09         -0.08
## delta_interest_rate                         -0.02          0.00          0.01
## mod_flag_12m                                 0.00          0.00          0.00
## current_deferred_upb                         0.01          0.00          0.00
## unemployment_rate_lag1                       0.98         -0.25         -0.37
## unemployment_rate_lag2                       0.99         -0.23         -0.34
## unemployment_rate_lag3                       1.00         -0.22         -0.32
## unemployment_rate_lag4                       1.00         -0.20         -0.31
## hpi_qoq_qlag1                               -0.20          1.00          0.53
## hpi_qoq_qlag2                               -0.31          0.53          1.00
## hpi_qoq_qlag3                               -0.39          0.21          0.61
## hpi_qoq_qlag4                               -0.48          0.43          0.34
## credit_score                                 0.12         -0.02         -0.05
## orig_ltv                                    -0.06          0.08          0.08
## orig_cltv                                   -0.07          0.09          0.09
## orig_dti                                    -0.05         -0.02         -0.01
## orig_interest_rate                          -0.34          0.01          0.07
## orig_upb                                     0.06         -0.09         -0.09
## orig_loan_term                              -0.04         -0.03         -0.02
## num_borrowers                                0.00          0.01          0.00
## mi_pct                                      -0.05          0.04          0.05
## default_next_12m                            -0.01         -0.02         -0.02
##                            hpi_qoq_qlag3 hpi_qoq_qlag4 credit_score orig_ltv
## current_delinquency_status         -0.01         -0.01        -0.11     0.02
## loan_age                           -0.16         -0.14        -0.11     0.03
## current_upb                        -0.08         -0.09         0.06     0.12
## delta_interest_rate                 0.01          0.01         0.02    -0.01
## mod_flag_12m                        0.00          0.00        -0.01     0.00
## current_deferred_upb                0.00          0.00         0.00     0.00
## unemployment_rate_lag1             -0.45         -0.52         0.12    -0.06
## unemployment_rate_lag2             -0.44         -0.51         0.12    -0.06
## unemployment_rate_lag3             -0.42         -0.49         0.12    -0.06
## unemployment_rate_lag4             -0.39         -0.48         0.12    -0.06
## hpi_qoq_qlag1                       0.21          0.43        -0.02     0.08
## hpi_qoq_qlag2                       0.61          0.34        -0.05     0.08
## hpi_qoq_qlag3                       1.00          0.63        -0.06     0.08
## hpi_qoq_qlag4                       0.63          1.00        -0.07     0.08
## credit_score                       -0.06         -0.07         1.00    -0.16
## orig_ltv                            0.08          0.08        -0.16     1.00
## orig_cltv                           0.09          0.08        -0.15     0.94
## orig_dti                            0.00          0.00        -0.18     0.15
## orig_interest_rate                  0.10          0.12        -0.33     0.18
## orig_upb                           -0.10         -0.10         0.07     0.11
## orig_loan_term                     -0.01         -0.01        -0.08     0.27
## num_borrowers                       0.00          0.00         0.02    -0.05
## mi_pct                              0.05          0.05        -0.13     0.49
## default_next_12m                   -0.01         -0.01        -0.04     0.02
##                            orig_cltv orig_dti orig_interest_rate orig_upb
## current_delinquency_status      0.02     0.03               0.06    -0.01
## loan_age                        0.03     0.04               0.27    -0.11
## current_upb                     0.13     0.11              -0.19     0.96
## delta_interest_rate            -0.01    -0.02              -0.02    -0.01
## mod_flag_12m                    0.00     0.00               0.00     0.00
## current_deferred_upb            0.00     0.00               0.01     0.00
## unemployment_rate_lag1         -0.07    -0.04              -0.30     0.07
## unemployment_rate_lag2         -0.07    -0.05              -0.32     0.07
## unemployment_rate_lag3         -0.07    -0.05              -0.33     0.06
## unemployment_rate_lag4         -0.07    -0.05              -0.34     0.06
## hpi_qoq_qlag1                   0.09    -0.02               0.01    -0.09
## hpi_qoq_qlag2                   0.09    -0.01               0.07    -0.09
## hpi_qoq_qlag3                   0.09     0.00               0.10    -0.10
## hpi_qoq_qlag4                   0.08     0.00               0.12    -0.10
## credit_score                   -0.15    -0.18              -0.33     0.07
## orig_ltv                        0.94     0.15               0.18     0.11
## orig_cltv                       1.00     0.16               0.18     0.13
## orig_dti                        0.16     1.00               0.17     0.11
## orig_interest_rate              0.18     0.17               1.00    -0.20
## orig_upb                        0.13     0.11              -0.20     1.00
## orig_loan_term                  0.27     0.14               0.29     0.18
## num_borrowers                  -0.03    -0.11              -0.10     0.16
## mi_pct                          0.43     0.09               0.19    -0.04
## default_next_12m                0.02     0.02               0.03     0.01
##                            orig_loan_term num_borrowers mi_pct default_next_12m
## current_delinquency_status           0.02         -0.02   0.02             0.05
## loan_age                             0.04         -0.04   0.04             0.01
## current_upb                          0.20          0.15  -0.04             0.01
## delta_interest_rate                 -0.01          0.00  -0.01             0.00
## mod_flag_12m                         0.00          0.00   0.00             0.00
## current_deferred_upb                 0.00          0.00   0.00             0.00
## unemployment_rate_lag1              -0.03          0.00  -0.04             0.00
## unemployment_rate_lag2              -0.04          0.00  -0.04             0.00
## unemployment_rate_lag3              -0.04          0.00  -0.04            -0.01
## unemployment_rate_lag4              -0.04          0.00  -0.05            -0.01
## hpi_qoq_qlag1                       -0.03          0.01   0.04            -0.02
## hpi_qoq_qlag2                       -0.02          0.00   0.05            -0.02
## hpi_qoq_qlag3                       -0.01          0.00   0.05            -0.01
## hpi_qoq_qlag4                       -0.01          0.00   0.05            -0.01
## credit_score                        -0.08          0.02  -0.13            -0.04
## orig_ltv                             0.27         -0.05   0.49             0.02
## orig_cltv                            0.27         -0.03   0.43             0.02
## orig_dti                             0.14         -0.11   0.09             0.02
## orig_interest_rate                   0.29         -0.10   0.19             0.03
## orig_upb                             0.18          0.16  -0.04             0.01
## orig_loan_term                       1.00         -0.07   0.13             0.02
## num_borrowers                       -0.07          1.00  -0.04            -0.02
## mi_pct                               0.13         -0.04   1.00             0.02
## default_next_12m                     0.02         -0.02   0.02             1.00