| Lifetime PD 분석 보고서 | |||||||||
| 생성일시: 2026-03-11 20:50 | |||||||||
| 1. 모형 개요 | |||||||||
| 모형 구조 | Z(t) = c + φ·Z(t-1) + β₁·X₁_std + β₂·X₂_std + β₃·X₃_std + ε | ||||||||
| 모형 유형 | AR(1) + Macro (Vasicek Single-Factor) | ||||||||
| 적용 기준 | IFRS 9 (2018, 2024 개정) | ||||||||
| 변수 선택 | HOUSING_PRICE, CURRENT_ACCOUNT, CREDIT_SPREAD_LAG1 | ||||||||
| 2. AR(1) 모형 파라미터 | |||||||||
| 자기회귀 계수 (φ) | -0.3352 | ||||||||
| 반감기 | 0.6년 | ||||||||
| 절편 (c) | -0.1781 | ||||||||
| β(HOUSING_PRICE) | 0.6412 | ||||||||
| β(CURRENT_ACCOUNT) | -0.1771 | ||||||||
| β(CREDIT_SPREAD_LAG1) | -0.6439 | ||||||||
| 잔차 σ | 0.3989 | ||||||||
| 장기 균형 Z | -0.1334 | ||||||||
| 3. 모형 적합도 | |||||||||
| R² | 0.6667 | ||||||||
| Adj. R² | 0.6000 | ||||||||
| F p-value | 0.000130 | ||||||||
| AIC | 34.9959 | ||||||||
| DW | 2.8731 | ||||||||
| 4. 시나리오 설정 | |||||||||
| 시나리오 | 가중치 | HOUSING_PRICE (σ) | CURRENT_ACCOUNT (σ) | CREDIT_SPREAD_LAG1 (σ) | Z(t+1) | ||||
| 호황 (Upside) | 0.2000 | 1 | 1 | -1 | 1.0527 | ||||
| 중립 (Base) | 0.5000 | 0 | 0 | 0 | -0.0553 | ||||
| 불황 (Downside) | 0.3000 | -1.5000 | -1.5000 | 1.5000 | -1.7174 | ||||
| 5. 1년차 확률가중 PD (%) | |||||||||
| AAA | AA | A | BBB | BB | B | CCC | |||
| 가중PD(1Y) | 0.0788 | 0.1085 | 0.2817 | 1.7066 | 6.4614 | 13.0089 | 31.6688 | ||
| 전이행렬 파이프라인: Original → PD Floor → TTC | ||||||||
| PD Floor 기준 (Basel III CRE30.4 + S&P/Moody's) | ||||||||
| 등급 | Floor PD (bp) | |||||||
| AAA | 5 | |||||||
| AA | 5 | |||||||
| A | 7 | |||||||
| BBB | 20 | |||||||
| BB | 60 | |||||||
| B | 300 | |||||||
| TTC 전이행렬 (PD Floor 적용 후, 1998~2025 평균) | ||||||||
| From\To | AAA | AA | A | BBB | BB | B | D | |
| AAA | 0.9911 | 0.008428 | 0 | 0 | 0 | 0 | 0.000510 | |
| AA | 0.0173 | 0.9417 | 0.0367 | 0.003558 | 0.000007 | 0.000007 | 0.000733 | |
| A | 0 | 0.0532 | 0.8965 | 0.0429 | 0.001260 | 0.004052 | 0.002048 | |
| BBB | 0 | 0.000012 | 0.0659 | 0.8642 | 0.0343 | 0.0215 | 0.0140 | |
| BB | 0 | 0 | 0.003234 | 0.0435 | 0.8036 | 0.0877 | 0.0619 | |
| B | 0 | 0 | 0.000735 | 0.003678 | 0.0277 | 0.8248 | 0.1431 | |
| D | 0 | 0 | 0 | 0 | 0 | 0 | 1 | |
| 연도별 D열 비교 (Original vs Floor Calibrated) | ||||||||
| 연도 | AAA(원시) | AA(원시) | A(원시) | BBB(원시) | BB(원시) | B(원시) | ||
| 연도 | AAA | AA | A | BBB | BB | B | ||
| 1998(원시) | 0 | 0 | 16.9400 | 105.83 | 1436.40 | 3944.30 | ||
| 1998(보정) | 5 | 5 | 16.9400 | 105.83 | 1436.40 | 3944.30 | ||
| 1999(원시) | 1.8000 | 2.5000 | 16.5700 | 106.39 | 198.15 | 1881.36 | ||
| 1999(보정) | 5 | 5 | 16.5700 | 106.39 | 198.15 | 1881.36 | ||
| 2000(원시) | 1.8200 | 5.0600 | 16.5200 | 101.54 | 333.23 | 983.95 | ||
| 2000(보정) | 5.0000 | 5.0600 | 16.5200 | 101.54 | 333.23 | 983.95 | ||
| 2001(원시) | 4.0600 | 7.9900 | 17.3600 | 149.54 | 499.89 | 1792.24 | ||
| 2001(보정) | 5.0000 | 7.9900 | 17.3600 | 149.54 | 499.89 | 1792.24 | ||
| 2002(원시) | 1.7800 | 8.3100 | 17.1900 | 129.25 | 479.37 | 2136.03 | ||
| 2002(보정) | 5.0000 | 8.3100 | 17.1900 | 129.25 | 479.37 | 2136.03 | ||
| 2003(원시) | 3.7700 | 7.7500 | 16.2300 | 108.94 | 500.14 | 867.74 | ||
| 2003(보정) | 5 | 7.7500 | 16.2300 | 108.94 | 500.14 | 867.74 | ||
| 2004(원시) | 5.7900 | 8.4200 | 17.7000 | 111.19 | 2047.86 | 2152.92 | ||
| 2004(보정) | 5.7900 | 8.4200 | 17.7000 | 111.19 | 2047.86 | 2152.92 | ||
| 2005(원시) | 5.4300 | 8.4900 | 17.9100 | 100.93 | 239.44 | 1652.70 | ||
| 2005(보정) | 5.4300 | 8.4900 | 17.9100 | 100.93 | 239.44 | 1652.70 | ||
| 2006(원시) | 3.5600 | 7.6400 | 15.8000 | 124.46 | 259.23 | 339.46 | ||
| 2006(보정) | 5.0000 | 7.6400 | 15.8000 | 124.46 | 259.23 | 339.46 | ||
| 2007(원시) | 5.1500 | 7.7700 | 18.9900 | 100.13 | 317.06 | 623.64 | ||
| 2007(보정) | 5.1500 | 7.7700 | 18.9900 | 100.13 | 317.06 | 623.64 | ||
| 2008(원시) | 3.4600 | 7.6000 | 16.0100 | 165.80 | 847.65 | 739.98 | ||
| 2008(보정) | 5 | 7.6000 | 16.0100 | 165.80 | 847.65 | 739.98 | ||
| 2009(원시) | 5.2000 | 7.4800 | 15.7600 | 122.28 | 1444.45 | 1310.57 | ||
| 2009(보정) | 5.2000 | 7.4800 | 15.7600 | 122.28 | 1444.45 | 1310.57 | ||
| 2010(원시) | 5.1000 | 7.4700 | 16.5900 | 127.38 | 1171.52 | 2557.17 | ||
| 2010(보정) | 5.1000 | 7.4700 | 16.5900 | 127.38 | 1171.52 | 2557.17 | ||
| 2011(원시) | 3.4000 | 7.4500 | 15.8700 | 234.21 | 530.64 | 1499.83 | ||
| 2011(보정) | 5.0000 | 7.4500 | 15.8700 | 234.21 | 530.64 | 1499.83 | ||
| 2012(원시) | 3.4200 | 7.5400 | 64.5399 | 222.52 | 811.32 | 3796.36 | ||
| 2012(보정) | 5 | 7.5400 | 64.5399 | 222.52 | 811.32 | 3796.36 | ||
| 2013(원시) | 1.7500 | 7.4500 | 15.7700 | 402.43 | 790.61 | 1011.51 | ||
| 2013(보정) | 5.0000 | 7.4500 | 15.7700 | 402.43 | 790.61 | 1011.51 | ||
| 2014(원시) | 5.1700 | 7.4200 | 68.6300 | 210.13 | 669.82 | 688.92 | ||
| 2014(보정) | 5.1700 | 7.4200 | 68.6300 | 210.13 | 669.82 | 688.92 | ||
| 2015(원시) | 5.4400 | 7.3400 | 17.1000 | 113.01 | 1003.99 | 1469.78 | ||
| 2015(보정) | 5.4400 | 7.3400 | 17.1000 | 113.01 | 1003.99 | 1469.78 | ||
| 2016(원시) | 5.1600 | 7.3400 | 15.9700 | 115.10 | 526.32 | 1094.35 | ||
| 2016(보정) | 5.1600 | 7.3400 | 15.9700 | 115.10 | 526.32 | 1094.35 | ||
| 2017(원시) | 3.3900 | 7.3600 | 17.8200 | 123.67 | 232.74 | 584.60 | ||
| 2017(보정) | 5 | 7.3600 | 17.8200 | 123.67 | 232.74 | 584.60 | ||
| 2018(원시) | 0 | 7.5200 | 17.6600 | 141.91 | 217.93 | 485.42 | ||
| 2018(보정) | 5 | 7.5200 | 17.6600 | 141.91 | 217.93 | 485.42 | ||
| 2019(원시) | 1.6900 | 7.5100 | 16.5700 | 108.98 | 721.38 | 1451.42 | ||
| 2019(보정) | 5 | 7.5100 | 16.5700 | 108.98 | 721.38 | 1451.42 | ||
| 2020(원시) | 5.0800 | 7.4300 | 15.9200 | 104.60 | 180.18 | 499.99 | ||
| 2020(보정) | 5.0800 | 7.4300 | 15.9200 | 104.60 | 180.18 | 499.99 | ||
| 2021(원시) | 5.1700 | 7.2500 | 16.5700 | 105.93 | 216.50 | 544.44 | ||
| 2021(보정) | 5.1700 | 7.2500 | 16.5700 | 105.93 | 216.50 | 544.44 | ||
| 2022(원시) | 3.4700 | 7.3400 | 16.6100 | 106.95 | 117.13 | 622.53 | ||
| 2022(보정) | 5 | 7.3400 | 16.6100 | 106.95 | 117.13 | 622.53 | ||
| 2023(원시) | 1.8000 | 7.6400 | 20.9400 | 160.26 | 982.60 | 2376.81 | ||
| 2023(보정) | 5 | 7.6400 | 20.9400 | 160.26 | 982.60 | 2376.81 | ||
| 2024(원시) | 5.1300 | 7.2700 | 17.4800 | 118.96 | 243.33 | 1196.36 | ||
| 2024(보정) | 5.1300 | 7.2700 | 17.4800 | 118.96 | 243.33 | 1196.36 | ||
| 2025(원시) | 5.1200 | 7.4100 | 16.5500 | 107.88 | 321.42 | 1764.13 | ||
| 2025(보정) | 5.1200 | 7.4100 | 16.5500 | 107.88 | 321.42 | 1764.13 | ||
| 원시 데이터: 거시경제변수 | |||||||||||||||||||||||||||||||||||||||||
| ★ 선택 변수: HOUSING_PRICE, CURRENT_ACCOUNT, CREDIT_SPREAD_LAG1 | |||||||||||||||||||||||||||||||||||||||||
| 연도 | HOUSING_PRICE | CURRENT_ACCOUNT | CREDIT_SPREAD_LAG1 | GDP_GROWTH | UNEMPLOYMENT | BASE_RATE | CD_RATE | CPI_GROWTH | LEADING_INDEX | GOVT_3Y | CORP_AA | CORP_BBB | IPI | EXPORT | GOVT_10Y | IMPORT_AMT | USDKRW | M2 | CSI | KOSPI | IMPORT_PRICE | DISHONOR_RATE | HOUSEHOLD_DEBT | FACILITY_INVEST | RETAIL_SALES | EMPLOYED | EMPLOYMENT_RATE | OIL_PRICE | COINCIDENT | BSI_MANUF | CONSTRUCTION_DONE | SPI | CONSTR_INVEST_GR | GFCF_GROWTH | SAVING_RATE | INVEST_RATE | TRADE_GNI | MANUF_CAPACITY | IPI_LAG1 | EXPORT_DIFF | |
| 2000 | 55.2000 | 123.50 | 8.9000 | 4.4000 | 5.2500 | 7.0900 | 2.3000 | 101.20 | 8.3500 | 9.3500 | 11.9000 | 102.50 | 172268 | 8.5500 | 160481 | 1131 | 651.80 | 101 | 504 | 78.5000 | 0.4600 | 194 | 62.5000 | 72 | 2115 | 58.5000 | 26.2000 | 99.8000 | 90 | 56.3000 | 58 | -1.4000 | 11.4000 | 33.7000 | 31 | 72.5000 | 109.50 | ||||
| 2001 | 56.8000 | 80.3000 | 2.5500 | 4.5000 | 4 | 4 | 5.3400 | 4.1000 | 99.5000 | 6.7000 | 8.1200 | 11.2700 | 99.5000 | 150439 | 7.0500 | 141098 | 1291 | 736.50 | 96.5000 | 694 | 73.6000 | 0.2800 | 225 | 58.5000 | 73.5000 | 2118 | 59 | 22.8000 | 98 | 82 | 53.8000 | 60.2000 | 5.6000 | 0.6000 | 31.7000 | 29.3000 | 66.3000 | 105.80 | 102.50 | -21829 | |
| 2002 | 65.3000 | 53.9000 | 3.1500 | 7.4000 | 3.3000 | 4.2500 | 4.9900 | 2.8000 | 102.30 | 6.0600 | 7.0200 | 9.7500 | 108.50 | 162471 | 6.5800 | 152126 | 1251 | 816.30 | 105 | 628 | 72.1000 | 0.1800 | 306 | 63.2000 | 76 | 2217 | 60 | 23.7000 | 101.50 | 92 | 55.2000 | 63.5000 | 6.5000 | 6.7000 | 31.3000 | 29.1000 | 62.4000 | 110.50 | 99.5000 | 12032 | |
| 2003 | 71.5000 | 119.50 | 2.7300 | 2.9000 | 3.6000 | 3.7500 | 4.2400 | 3.5000 | 98.8000 | 4.9300 | 5.7000 | 8.9700 | 109.80 | 193817 | 5.4500 | 178827 | 1192 | 879.20 | 96 | 811 | 81.3000 | 0.1200 | 360 | 60.5000 | 74 | 2212 | 59.5000 | 26.8000 | 99.2000 | 85 | 58 | 64.8000 | 10 | 4 | 32.6000 | 30 | 65 | 108.20 | 108.50 | 31346 | |
| 2004 | 71 | 284.20 | 3.2700 | 4.9000 | 3.7000 | 3.2500 | 3.7700 | 3.6000 | 100.50 | 4.1100 | 4.7200 | 7.5300 | 119.20 | 253845 | 4.7300 | 224463 | 1145 | 935.30 | 97 | 896 | 90.5000 | 0.0800 | 394 | 66.5000 | 74.5000 | 2272 | 59.8000 | 33.5000 | 100.80 | 88 | 63.5000 | 66 | 1.8000 | 2.1000 | 34.8000 | 30.3000 | 73.5000 | 113.80 | 109.80 | 60028 | |
| 2005 | 73.5000 | 149.80 | 2.8100 | 3.9000 | 3.7000 | 3.7500 | 3.8100 | 2.8000 | 101.80 | 4.2700 | 4.6800 | 6.5100 | 126 | 284419 | 4.9500 | 261238 | 1024 | 1002.70 | 100.50 | 1011 | 99.2000 | 0.0600 | 440 | 68 | 76.5000 | 2297 | 60.3000 | 49.3000 | 101.20 | 92 | 66 | 68.5000 | -0.4000 | 1.9000 | 33.4000 | 29.7000 | 72.5000 | 114.50 | 119.20 | 30574 | |
| 2006 | 80.2000 | 53.9000 | 1.8300 | 5.2000 | 3.5000 | 4.5000 | 4.7200 | 2.2000 | 102.50 | 4.8300 | 5.2500 | 7.0800 | 136 | 325465 | 5.1700 | 309383 | 955 | 1089.90 | 106 | 1434 | 107.80 | 0.0500 | 497 | 73.5000 | 78.5000 | 2334 | 60.9000 | 61.5000 | 102.80 | 95 | 69.5000 | 71.2000 | 0.5000 | 3.4000 | 32.5000 | 29.6000 | 73.2000 | 115.80 | 126 | 41046 | |
| 2007 | 83.5000 | 59.5000 | 1.8300 | 5.5000 | 3.2000 | 5 | 5.3600 | 2.5000 | 103.10 | 5.2300 | 5.7000 | 7.4400 | 144.50 | 371489 | 5.4200 | 356846 | 929 | 1181.60 | 108.50 | 1897 | 109.30 | 0.0400 | 560 | 78.5000 | 80 | 2371 | 61.3000 | 68.4000 | 103.50 | 97 | 72.8000 | 74 | 1.4000 | 4.2000 | 32.4000 | 29.4000 | 77.8000 | 115.20 | 136 | 46024 | |
| 2008 | 84 | -57.8000 | 1.7400 | 2.8000 | 3.2000 | 3 | 5.7000 | 4.7000 | 96.5000 | 5.2700 | 7.0200 | 10.7300 | 148.20 | 422007 | 5.5700 | 435275 | 1103 | 1263.20 | 86 | 1124 | 132.50 | 0.1100 | 630 | 76 | 79 | 2385 | 61.5000 | 94.3000 | 98.5000 | 72 | 74.5000 | 75.5000 | -2.8000 | -1.9000 | 31.5000 | 31.2000 | 96.5000 | 112.80 | 144.50 | 50518 | |
| 2009 | 84.8000 | 328.10 | 3.7100 | 0.8000 | 3.6000 | 2 | 2.6300 | 2.8000 | 98.2000 | 4.0400 | 5.8000 | 9.2400 | 140 | 363534 | 4.8500 | 323085 | 1276 | 1404.40 | 85 | 1683 | 104.20 | 0.1000 | 694 | 60.5000 | 77.5000 | 2355 | 60.1000 | 61.8000 | 96.5000 | 68 | 68.2000 | 76 | 0.2000 | -1 | 31.4000 | 26.3000 | 82 | 102.50 | 148.20 | -58473 | |
| 2010 | 87 | 282.10 | 3.4400 | 6.8000 | 3.7000 | 2.5000 | 2.8000 | 2.9000 | 103 | 3.7200 | 4.6600 | 7.9800 | 161.50 | 466384 | 4.4900 | 425212 | 1156 | 1504.30 | 107 | 2051 | 115.80 | 0.0600 | 776 | 80.5000 | 80.5000 | 2397 | 60.4000 | 78.1000 | 103 | 95 | 72 | 78.5000 | -1.4000 | 5.8000 | 33.5000 | 29.5000 | 87.9000 | 113 | 140 | 102850 | |
| 2011 | 89.5000 | 184.10 | 3.3200 | 3.7000 | 3.4000 | 3.2500 | 3.5500 | 4 | 101.20 | 3.6200 | 4.4100 | 7.7500 | 168 | 555214 | 4.0500 | 524413 | 1108 | 1586.50 | 100 | 1826 | 130.20 | 0.0500 | 857 | 82 | 82 | 2424 | 60.7000 | 106 | 102.50 | 90 | 73.5000 | 80 | -4.9000 | 0.8000 | 34 | 29.4000 | 96.7000 | 112.50 | 161.50 | 88830 | |
| 2012 | 89 | 508.40 | 3.3400 | 2.4000 | 3.2000 | 2.7500 | 3.1300 | 2.2000 | 100.30 | 3.1300 | 3.7600 | 6.5600 | 168.20 | 547870 | 3.3500 | 519584 | 1127 | 1673.50 | 100.50 | 1997 | 123.50 | 0.0400 | 934 | 79 | 83.5000 | 2468 | 61.3000 | 109.10 | 100.50 | 85 | 72 | 82.5000 | -3.2000 | -0.5000 | 33.8000 | 28.4000 | 96.8000 | 110.20 | 168 | -7344 | |
| 2013 | 88.8000 | 812.10 | 2.8000 | 3.2000 | 3.1000 | 2.5000 | 2.7200 | 1.3000 | 100.80 | 2.7900 | 3.1900 | 5.8700 | 168.80 | 559632 | 3.2800 | 515586 | 1095 | 1756.20 | 103 | 2011 | 115 | 0.0400 | 980 | 77.5000 | 85 | 2503 | 61.6000 | 105.50 | 101 | 88 | 71.5000 | 84 | 5.4000 | 3.3000 | 34 | 28.7000 | 93.2000 | 108 | 168.20 | 11762 | |
| 2014 | 90.2000 | 843.50 | 2.6800 | 3.2000 | 3.5000 | 2 | 2.3600 | 1.3000 | 101 | 2.5600 | 2.9900 | 5.2200 | 168.50 | 572665 | 2.9200 | 525515 | 1053 | 1871 | 104 | 1916 | 105.60 | 0.0400 | 1050 | 81 | 86.5000 | 2546 | 62.4000 | 96.7000 | 101.50 | 90 | 73.8000 | 86 | 1.1000 | 3.1000 | 34.5000 | 29 | 87.6000 | 108.80 | 168.80 | 13033 | |
| 2015 | 95 | 1059.40 | 2.2300 | 2.8000 | 3.6000 | 1.5000 | 1.7200 | 0.7000 | 100.50 | 1.8000 | 2.1800 | 4.6100 | 168 | 526757 | 2.2500 | 436499 | 1131 | 2010 | 103.50 | 1961 | 79.5000 | 0.0300 | 1145 | 84.5000 | 88 | 2567 | 62.6000 | 51.2000 | 101 | 86 | 77.5000 | 88.5000 | 9.1000 | 5.1000 | 36 | 28.8000 | 79.8000 | 107.20 | 168.50 | -45908 | |
| 2016 | 97.5000 | 992.40 | 2.4300 | 2.9000 | 3.7000 | 1.2500 | 1.4800 | 1 | 99.8000 | 1.4400 | 1.8800 | 4.6000 | 168.50 | 495426 | 1.8000 | 406193 | 1161 | 2151.10 | 100 | 2026 | 78 | 0.0300 | 1250 | 82 | 89.5000 | 2597 | 63 | 41.3000 | 100.20 | 85 | 89.5000 | 90 | 10.3000 | 5.6000 | 36.4000 | 29.2000 | 74.5000 | 106 | 168 | -31331 | |
| 2017 | 100 | 752.60 | 2.7200 | 3.2000 | 3.7000 | 1.5000 | 1.5200 | 1.9000 | 101.50 | 1.8000 | 2.2800 | 4.8300 | 174.20 | 573694 | 2.3300 | 478478 | 1131 | 2347.20 | 105 | 2467 | 90.5000 | 0.0200 | 1364 | 92 | 92 | 2620 | 63.2000 | 53.1000 | 101.80 | 92 | 90 | 92.5000 | 7.3000 | 9.8000 | 36.6000 | 31.1000 | 77.3000 | 107.50 | 168.50 | 78268 | |
| 2018 | 102 | 774.70 | 2.5500 | 2.9000 | 3.8000 | 1.7500 | 1.8500 | 1.5000 | 100.80 | 2.1000 | 2.6700 | 5.4100 | 178 | 604860 | 2.5600 | 535202 | 1100 | 2508.90 | 102 | 2041 | 100 | 0.0300 | 1497 | 94.5000 | 94 | 2633 | 63.1000 | 69.5000 | 101.50 | 88 | 85.5000 | 94.5000 | -4.6000 | -2.4000 | 35.9000 | 30.3000 | 77.3000 | 107 | 174.20 | 31166 | |
| 2019 | 104.50 | 597 | 2.7400 | 2.2000 | 3.8000 | 1.2500 | 1.6300 | 0.4000 | 99.3000 | 1.5000 | 1.9300 | 4.5200 | 175.50 | 542233 | 1.7400 | 503343 | 1166 | 2694 | 97 | 2198 | 92.5000 | 0.0300 | 1573 | 89 | 96.5000 | 2660 | 63.5000 | 63.4000 | 100 | 82 | 82 | 97 | -3.1000 | -2.1000 | 34.6000 | 30.5000 | 72.1000 | 102.80 | 178 | -62627 | |
| 2020 | 110 | 752.80 | 2.5900 | -0.7000 | 4 | 0.5000 | 0.7600 | 0.5000 | 97 | 0.9800 | 2.0300 | 5.2500 | 170 | 512498 | 1.5200 | 467633 | 1180 | 3070.20 | 90 | 2873 | 85 | 0.0200 | 1723 | 100 | 100 | 2630 | 62.5000 | 42.3000 | 97.5000 | 76 | 79 | 100 | -0.1000 | 2.6000 | 36.3000 | 31.3000 | 65.8000 | 100 | 175.50 | -29735 | |
| 2021 | 122 | 883 | 3.2200 | 4.3000 | 3.7000 | 1 | 1.0900 | 2.5000 | 102.80 | 1.4300 | 2.2600 | 5.6400 | 183 | 644400 | 2.1200 | 615093 | 1144 | 3415.80 | 106 | 2978 | 110.50 | 0.0100 | 1853 | 108.50 | 105 | 2672 | 63.8000 | 69.3000 | 103 | 96 | 77.5000 | 104.50 | -1.5000 | 3.1000 | 35.8000 | 31.6000 | 74.5000 | 105.20 | 170 | 131902 | |
| 2022 | 128 | 258.30 | 3.3800 | 2.6000 | 2.9000 | 3.2500 | 3.7700 | 5.1000 | 99.2000 | 3.1400 | 4.2500 | 8.1800 | 186.50 | 683585 | 3.6000 | 731370 | 1292 | 3561 | 95 | 2237 | 140.20 | 0.0200 | 1903 | 105 | 107.50 | 2726 | 64.5000 | 97 | 100.50 | 85 | 76 | 108 | -3.5000 | -0.7000 | 34.5000 | 31.8000 | 85.2000 | 104.50 | 183 | 39185 | |
| 2023 | 118 | 355.20 | 3.9300 | 1.4000 | 2.7000 | 3.5000 | 3.7500 | 3.6000 | 98.8000 | 3.5500 | 4.4000 | 8.4000 | 183 | 632744 | 3.7800 | 642756 | 1305 | 3680 | 96.5000 | 2655 | 120 | 0.0300 | 1920 | 102 | 106 | 2750 | 65 | 82.5000 | 99.2000 | 80 | 72 | 109.50 | -0.5000 | 1.5000 | 34 | 30.8000 | 80.5000 | 101 | 186.50 | -50841 | |
| 2024 | 115 | 380 | 4 | 2.2000 | 2.8000 | 3 | 3.3000 | 2.3000 | 99.5000 | 3.2000 | 3.9000 | 7.5000 | 185 | 660000 | 3.4200 | 650000 | 1350 | 3800 | 98 | 2400 | 115 | 0.0300 | 1950 | 103.50 | 105.50 | 2760 | 65.2000 | 80 | 99.5000 | 82 | 68 | 110 | -3.3000 | 0.8000 | 33.5000 | 30 | 82 | 101.50 | 183 | 27256 | |
| 2025 | 112 | 350 | 3.6000 | 1.8000 | 3 | 2.7500 | 3 | 1.8000 | 99.8000 | 2.8000 | 3.5000 | 6.8000 | 184 | 650000 | 3.1000 | 640000 | 1380 | 3900 | 99 | 2500 | 110 | 0.0300 | 1980 | 104 | 106 | 2770 | 65.5000 | 75 | 100 | 84 | 65 | 111 | -2 | 1 | 33 | 29.5000 | 81 | 101 | 185 | -10000 | |
| Zt 추정 (Belkin & Suchower 1998) | |||||
| 방법론: 관측 전이행렬 역산 → WLS → Zt | |||||
| 자산상관계수 (ρ) | 0.2000 | ||||
| ρ = 0.20 근거 | |||||
| [1] Basel III IRB: 기업 ρ = 0.12~0.24 (CRE31.6) | |||||
| R = 0.12×(1-e^(-50×PD))/(1-e^(-50)) + 0.24×(1-(1-e^(-50×PD))/(1-e^(-50))) | |||||
| [2] BBB(PD≈0.2%) → R=0.208, A(PD≈0.07%) → R=0.217 | |||||
| [3] 한국 기업 포트폴리오 평균: ρ ≈ 0.20 (투자/투기 혼합) | |||||
| [4] Moody's Analytics CreditEdge: single-factor ρ ≈ 0.15~0.25 | |||||
| Zt 평균 (μ) | -0.2001 | ||||
| Zt 표준편차 (σ) | 0.7673 | ||||
| 관측 기간 | 1998~2025 (28개년) | ||||
| 연도 | Zt | HOUSING_PRICE | CURRENT_ACCOUNT | CREDIT_SPREAD_LAG1 | |
| 1998 | -2.1505 | ||||
| 1999 | -0.8673 | ||||
| 2000 | 0.0862 | 55.2000 | 123.50 | ||
| 2001 | -0.7190 | 56.8000 | 80.3000 | 2.5500 | |
| 2002 | -0.8970 | 65.3000 | 53.9000 | 3.1500 | |
| 2003 | -0.0819 | 71.5000 | 119.50 | 2.7300 | |
| 2004 | -1.3041 | 71 | 284.20 | 3.2700 | |
| 2005 | -0.3216 | 73.5000 | 149.80 | 2.8100 | |
| 2006 | 1.4361 | 80.2000 | 53.9000 | 1.8300 | |
| 2007 | 0.4562 | 83.5000 | 59.5000 | 1.8300 | |
| 2008 | 0.4385 | 84 | -57.8000 | 1.7400 | |
| 2009 | -0.6293 | 84.8000 | 328.10 | 3.7100 | |
| 2010 | -1.0651 | 87 | 282.10 | 3.4400 | |
| 2011 | 0.000684 | 89.5000 | 184.10 | 3.3200 | |
| 2012 | -1.1979 | 89 | 508.40 | 3.3400 | |
| 2013 | -0.4545 | 88.8000 | 812.10 | 2.8000 | |
| 2014 | 0.9161 | 90.2000 | 843.50 | 2.6800 | |
| 2015 | -0.4494 | 95 | 1059.40 | 2.2300 | |
| 2016 | -0.0127 | 97.5000 | 992.40 | 2.4300 | |
| 2017 | 0.4831 | 100 | 752.60 | 2.7200 | |
| 2018 | 0.6004 | 102 | 774.70 | 2.5500 | |
| 2019 | -0.2213 | 104.50 | 597 | 2.7400 | |
| 2020 | 0.5464 | 110 | 752.80 | 2.5900 | |
| 2021 | 0.4557 | 122 | 883 | 3.2200 | |
| 2022 | 0.5197 | 128 | 258.30 | 3.3800 | |
| 2023 | -0.9198 | 118 | 355.20 | 3.9300 | |
| 2024 | 0.1165 | 115 | 380 | 4 | |
| 2025 | -0.3662 | 112 | 350 | 3.6000 | |
| AR(1) + Macro 회귀 모형 | ||||||
| Z(t) = c + φ·Z(t-1) + Σ βᵢ·Xᵢ_std(t) + ε(t) | ||||||
| ※ 거시변수는 표준화(mean=0, std=1) 후 투입. β = '1σ 충격 → ΔZ'로 해석 | ||||||
| 회귀 계수 | ||||||
| 변수 | 계수 | 표준오차 | t값 | p값 | 유의성 | |
| const | -0.1781 | 0.0911 | -1.9541 | 0.0648 | * | |
| Z_lag1 | -0.3352 | 0.1488 | -2.2529 | 0.0357 | ** | |
| HOUSING_PRICE | 0.6412 | 0.1341 | 4.7800 | 0.000114 | *** | |
| CURRENT_ACCOUNT | -0.1771 | 0.1069 | -1.6570 | 0.1131 | ||
| CREDIT_SPREAD_LAG1 | -0.6439 | 0.1099 | -5.8605 | 0.000010 | *** | |
| 모형 진단 통계 | ||||||
| R² | 0.6667 | |||||
| Adj. R² | 0.6000 | |||||
| F 통계량 | 10.0014 | |||||
| F p-value | 0.000130 | |||||
| AIC | 34.9959 | |||||
| Durbin-Watson | 2.8731 | |||||
| 거시변수 표본 통계 (표준화 전 원시값) | ||||||
| 변수 | 평균 | 표준편차 | 최근값 | |||
| HOUSING_PRICE | 91.3192 | 19.3527 | 112 | |||
| CURRENT_ACCOUNT | 422.33 | 334.75 | 350 | |||
| CREDIT_SPREAD_LAG1 | 2.9036 | 0.6262 | 3.6000 | |||
| 변수별 경제적 해석 | ||||||
| HOUSING_PRICE | β=+0.6412 (+) | 주택가격↑ → 담보가치↑ → 차입여력↑ → 부도↓ → Z↑ | ||||
| CURRENT_ACCOUNT | β=-0.1771 (−) | 경상수지↑(흑자) → 불황기 수출의존↑ → Z↓ (한국 특수 패턴) | ||||
| CREDIT_SPREAD_LAG1 | β=-0.6439 (−) | 전년 스프레드↑ → 당해 신용위험 전이 → 부도↑ → Z↓ (시차 효과) | ||||
| 시나리오별 Z(t) 경로 | ||||
| t=1: 거시 충격 적용 | t≥2: AR(1) 감쇠 → TTC 수렴 | ||||
| 연도(t+k) | 호황 (Upside) | 중립 (Base) | 불황 (Downside) | |
| 1 | 1.0527 | -0.0553 | -1.7174 | |
| 2 | -0.5309 | -0.1595 | 0.3975 | |
| 3 | -0.000133 | -0.1246 | -0.3113 | |
| 4 | -0.1781 | -0.1363 | -0.0737 | |
| 5 | -0.1184 | -0.1324 | -0.1534 | |
| 6 | -0.1384 | -0.1337 | -0.1267 | |
| 7 | -0.1317 | -0.1333 | -0.1356 | |
| 8 | -0.1340 | -0.1334 | -0.1326 | |
| 9 | -0.1332 | -0.1334 | -0.1336 | |
| 10 | -0.1335 | -0.1334 | -0.1333 | |
| 15 | -0.1334 | -0.1334 | -0.1334 | |
| 20 | -0.1334 | -0.1334 | -0.1334 | |
| 25 | -0.1334 | -0.1334 | -0.1334 | |
| 30 | -0.1334 | -0.1334 | -0.1334 | |
| 40 | -0.1334 | -0.1334 | -0.1334 | |
| 50 | -0.1334 | -0.1334 | -0.1334 | |
| 시나리오별 누적 Lifetime PD (%) | |||||||||
| 호황 (Upside) (가중치 20%) | |||||||||
| 시나리오 | 연도 | AAA | AA | A | BBB | BB | B | CCC | |
| 호황 (Upside) | 1 | 0.001305 | 0.002038 | 0.007820 | 0.1078 | 0.8244 | 2.5111 | 11.0291 | |
| 호황 (Upside) | 2 | 0.0334 | 0.0489 | 0.1523 | 1.2209 | 6.1478 | 14.3028 | 30.5701 | |
| 호황 (Upside) | 3 | 0.0454 | 0.0712 | 0.2728 | 2.0723 | 9.7869 | 21.5086 | 39.4917 | |
| 호황 (Upside) | 5 | 0.0774 | 0.1449 | 0.7004 | 4.5770 | 18.5657 | 35.8879 | 52.8646 | |
| 호황 (Upside) | 7 | 0.1092 | 0.2499 | 1.3212 | 7.5916 | 27.1785 | 47.4539 | 62.0428 | |
| 호황 (Upside) | 10 | 0.1584 | 0.4910 | 2.6113 | 12.7192 | 39.0549 | 60.7263 | 72.0198 | |
| 호황 (Upside) | 15 | 0.2491 | 1.1786 | 5.5874 | 21.7816 | 55.0271 | 75.2884 | 82.7164 | |
| 호황 (Upside) | 20 | 0.3584 | 2.2744 | 9.2994 | 30.3966 | 66.4407 | 83.9785 | 89.0086 | |
| 호황 (Upside) | 30 | 0.6701 | 5.6406 | 17.6391 | 44.4615 | 79.7891 | 92.5201 | 95.0957 | |
| 호황 (Upside) | 50 | 1.8493 | 15.2686 | 33.0938 | 61.2940 | 89.5458 | 97.3332 | 98.4190 | |
| 중립 (Base) (가중치 50%) | |||||||||
| 시나리오 | 연도 | AAA | AA | A | BBB | BB | B | CCC | |
| 중립 (Base) | 1 | 0.0131 | 0.0193 | 0.0626 | 0.5973 | 3.2599 | 8.0151 | 25.1118 | |
| 중립 (Base) | 2 | 0.0291 | 0.0456 | 0.1786 | 1.5138 | 7.4367 | 16.7838 | 40.3810 | |
| 중립 (Base) | 3 | 0.0443 | 0.0746 | 0.3382 | 2.6152 | 11.7983 | 24.7793 | 49.7632 | |
| 중립 (Base) | 5 | 0.0755 | 0.1523 | 0.8153 | 5.3791 | 20.9219 | 38.8003 | 61.4840 | |
| 중립 (Base) | 7 | 0.1073 | 0.2648 | 1.5026 | 8.6767 | 29.8387 | 50.1129 | 69.1802 | |
| 중립 (Base) | 10 | 0.1567 | 0.5216 | 2.9118 | 14.2067 | 41.9948 | 63.0198 | 77.3817 | |
| 중립 (Base) | 15 | 0.2480 | 1.2463 | 6.1132 | 23.8192 | 58.1023 | 77.0581 | 86.1044 | |
| 중립 (Base) | 20 | 0.3583 | 2.3902 | 10.0534 | 32.8144 | 69.4296 | 85.3543 | 91.2138 | |
| 중립 (Base) | 30 | 0.6727 | 5.8734 | 18.7773 | 47.2255 | 82.3953 | 93.4112 | 96.1343 | |
| 중립 (Base) | 50 | 1.8588 | 15.7497 | 34.6026 | 63.9444 | 91.4614 | 97.8386 | 98.7959 | |
| 불황 (Downside) (가중치 30%) | |||||||||
| 시나리오 | 연도 | AAA | AA | A | BBB | BB | B | CCC | |
| 불황 (Downside) | 1 | 0.2401 | 0.3283 | 0.8295 | 4.6213 | 15.5554 | 28.3305 | 56.3571 | |
| 불황 (Downside) | 2 | 0.2463 | 0.3471 | 1.0083 | 5.5513 | 18.4195 | 33.1617 | 63.4497 | |
| 불황 (Downside) | 3 | 0.2689 | 0.4089 | 1.4462 | 7.5656 | 23.7982 | 40.9283 | 70.4479 | |
| 불황 (Downside) | 5 | 0.3005 | 0.5393 | 2.3388 | 11.2799 | 32.6050 | 52.0021 | 77.5624 | |
| 불황 (Downside) | 7 | 0.3341 | 0.7284 | 3.4487 | 15.3342 | 40.9153 | 60.9306 | 82.1168 | |
| 불황 (Downside) | 10 | 0.3884 | 1.1346 | 5.4544 | 21.6124 | 51.8620 | 71.0807 | 86.9009 | |
| 불황 (Downside) | 15 | 0.4951 | 2.1663 | 9.4855 | 31.7065 | 65.8925 | 82.0951 | 91.9642 | |
| 불황 (Downside) | 20 | 0.6316 | 3.6412 | 14.0208 | 40.6129 | 75.5089 | 88.5935 | 94.9255 | |
| 불황 (Downside) | 30 | 1.0301 | 7.7128 | 23.3321 | 54.2014 | 86.2731 | 94.8930 | 97.7739 | |
| 불황 (Downside) | 50 | 2.4554 | 18.1998 | 39.0619 | 69.2061 | 93.5729 | 98.3429 | 99.3113 | |
| 확률가중 Lifetime PD (%) | ||||||||
| PD_weighted(t) = Σ w_s × PD_s(t) | ||||||||
| = 20%×호황 (Upside) + 50%×중립 (Base) + 30%×불황 (Downside) | ||||||||
| 연도 | AAA | AA | A | BBB | BB | B | CCC | |
| 1 | 0.0788 | 0.1085 | 0.2817 | 1.7066 | 6.4614 | 13.0089 | 31.6688 | |
| 2 | 0.0952 | 0.1367 | 0.4223 | 2.6665 | 10.4737 | 21.2010 | 45.3394 | |
| 3 | 0.1119 | 0.1742 | 0.6575 | 3.9917 | 14.9960 | 28.9699 | 53.9143 | |
| 5 | 0.1434 | 0.2669 | 1.2494 | 6.9889 | 23.9556 | 42.1784 | 64.5837 | |
| 7 | 0.1757 | 0.4009 | 2.0501 | 10.4570 | 32.6296 | 52.8264 | 71.6337 | |
| 10 | 0.2265 | 0.6994 | 3.6145 | 16.1309 | 44.3670 | 64.9794 | 79.1651 | |
| 15 | 0.3224 | 1.5088 | 7.0197 | 25.7778 | 59.8243 | 78.2153 | 87.1847 | |
| 20 | 0.4403 | 2.7423 | 11.0928 | 34.6704 | 70.6556 | 86.0509 | 91.8863 | |
| 30 | 0.7794 | 6.3787 | 19.9161 | 48.7655 | 83.0374 | 93.6775 | 96.4184 | |
| 50 | 2.0359 | 16.3885 | 35.6386 | 64.9928 | 91.7117 | 97.8888 | 98.8751 | |
| 통계적 검증 결과 | ||||||
| 검정 | 대상 | 통계량 | p-value | 결과 | 해석 | |
| ADF (Augmented Dickey-Fuller) | Zt 시계열 | -4.8749 | 0.0000 | Pass O | 정상 시계열 (p=0.0000, α=0.05) | |
| Shapiro-Wilk Normality Test | Zt 시계열 | 0.9818 | 0.8921 | Pass O | 정규분포 (p=0.8921, α=0.05) | |
| Ljung-Box Q-test | 잔차 자기상관 | 12.2306 | 0.0318 | Fail X | 자기상관 존재 (DW=2.873, LB p=0.0318) | |
| Breusch-Pagan / ARCH-LM | 잔차 이분산 | BP=3.3425 | 0.5022 | Pass O | 등분산 (BP p=0.5022, ARCH p=0.9545) | |
| R² / F-test | 모형 설명력 | R²=0.6667 | 0.0001 | Pass O | R²=0.667, Adj.R²=0.600 | |
| PD Properties | Cumulative PD (upside) | - | - | Pass O | 모든 검증 통과 | |
| PD Properties | Cumulative PD (base) | - | - | Pass O | 모든 검증 통과 | |
| PD Properties | Cumulative PD (downside) | - | - | Pass O | 모든 검증 통과 | |