Root mean squared error for the components of the different Z-score approaches
| Z-score | ROAt | ROAμ3 | Eq/TAt | Eq/TAμ3 | σROA2 | σROA3 | σROAT |
|---|---|---|---|---|---|---|---|
| Zs1 | 1.2781 | 1.2423 | 1.0464 | ||||
| Zs2 | 1.5843 | 1.5630 | 1.3402 | ||||
| Zs3 | 1.2702 | 1.2530 | 1.0219 | ||||
| Zs4 | 1.2775 | 1.2599 | 1.0297 | ||||
| Zs5 | 1.2682 | 1.2134 | 1.0484 | ||||
| Zs6 | 0.9729 | 0.9174 | 0.8203 |
| Z-score | ROA | ROA | Eq/TA | Eq/TA | σROA2 | σROA3 | σROA |
|---|---|---|---|---|---|---|---|
| 1.2781 | 1.2423 | 1.0464 | |||||
| 1.5843 | 1.5630 | 1.3402 | |||||
| 1.2702 | 1.2530 | 1.0219 | |||||
| 1.2775 | 1.2599 | 1.0297 | |||||
| 1.2682 | 1.2134 | 1.0484 | |||||
Note(s): This table reports the average root mean squared error (RMSE) for the components of the different Z-score approaches. Our final dataset comprises 183 insurers (1,382 observations) operating in the Spanish insurance sector during the period 2010–2017. Zs1 is defined in Equation [3], Zs2 is defined in Equation [4], Zs3 is defined in Equation [5], Zs4 is defined in Equation [6], Zs5 is defined in Equation [7], and Zs6 is defined in Equation [8]. ROAt is the value of ROA in year t; ROAμ3 is the three-year moving average of ROA. Eq/TAt is the value of the equity-to-total assets ratio in year t; Eq/TAμ3 is the three-year moving average of Eq/TA. σROA2 is the two-year moving SD of ROA, σROA3 is the three-year moving SD of ROA, and σROAT is the SD of ROA calculated over the whole period. The minimum average RMSE is highlighted in Italic
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