Table 1 in the paper should be replaced by the Table 1 of this note.

Table 2 in the paper should be replaced by the Table 2 of this note.

Sentence

‘For instance, taking the values $q_{65}^{\mathit{PASEM}}=\text{◂\#▸}0.00725439$ and $m_{65}^{\mathit{PASEM}}=\text{◂\#▸}0.00728081$ obtained from the PASEM2019 tables and the SAI $\text{◂◽:▸}{\tilde{\gamma }}_{1,3}^{(65)}=\text{◂\#▸}0.91200$ from Table 1, we have that $\text{◂=▸}{}_3^1\text{◂◽.▸}{\tilde{m}}_{65}=m_{65}·\text{◂◽:▸}{\tilde{\gamma }}_{1,3}^{(65)}=\text{◂\#▸}0.006640099$ for a male policyholder with completed age 65 and, from this, that the probability of dying for this policyholder during summer when aged between $65$ and $65.25$ is $\text{◂=▸}{}_{0.25}\text{◂◽:▸}{\tilde{q}}_{65}^{(3)}=\text{◂+▸}{}_3^1\text{◂◽.▸}{\tilde{m}}_{65}/(4+\text{◂⋅▸}0.5·{}_3^1\text{◂◽.▸}{\tilde{m}}_{65})=\text{◂\#▸}0.00165864$’.

Should be replaced by sentence

‘For instance, taking the values $q_{65}^{\mathit{PASEM}}=\text{◂\#▸}0.00725439$ and $m_{65}^{\mathit{PASEM}}=\text{◂\#▸}0.00728081$ obtained from the PASEM2019 tables and the SAI $\text{◂◽:▸}{\tilde{\gamma }}_{1,3}^{(65)}=\text{◂\#▸}0.91131$ from Table 1, we have that $\text{◂=▸}{}_3^1\text{◂◽.▸}{\tilde{m}}_{65}=m_{65}·\text{◂◽:▸}{\tilde{\gamma }}_{1,3}^{(65)}=\text{◂\#▸}0.0066351$ for a male policyholder with completed age 65 and, from this, that the probability of dying for this policyholder during summer when aged between $65$ and $65.25$ is $\text{◂=▸}{}_{0.25}\text{◂◽:▸}{\tilde{q}}_{65}^{(3)}=\text{◂+▸}{}_3^1\text{◂◽.▸}{\tilde{m}}_{65}/\left(4+\text{◂⋅▸}0.5·{}_3^1\text{◂◽.▸}{\tilde{m}}_{65}\right)=\text{◂\#▸}0.00165740$’.

Sentence

‘However, we find differences in SAI premiums as large as 27.3% (27.1%) for women (men), depending on the season of birth of the holder’

Should be replaced by sentence

‘However, we find differences in SAI premiums as large as 21.5% (24.3%) for women (men), depending on the season of birth of the holder’.

Sentence

‘we can see that C1 would earn, on average, 6.68€ per policyholder whereas C2 would lose, on average, 3.33€ per policyholder’

Should be replaced by sentence

‘we can see that C1 would earn, on average, 20.59€ per policyholder whereas C2 would lose, on average, 6.80€ per policyholder’.

Sentence

‘the aggregate risk-surpluses for C1 and C2 would be 383,137€ and -335,822€, respectively’

Should be replaced by sentence

‘the aggregate risk-surpluses for C1 and C2 would be 1,159,116€ and -1,117,721€, respectively’.

Sentence

‘Under these conditions, for example, the aggregation of life expectancies during a year of a group of 101 men each one with a different age between 0 and 100 years old living the whole year in summer would be 2.38 years higher than the corresponding aggregation for a similar group of men living the whole year in winter’

Should be replaced by

‘Under these conditions, for example, the aggregation of life expectancies during a year of a group of 101 men each one with a different age between 0 and 100 years old living the whole year in summer would be 2.16 years higher than the corresponding aggregation for a similar group of men living the whole year in winter’.

Sentence

‘This contrasts with the difference in life expectancy of a man born in summer versus one born in winter, which is 0.30 years’.

Should be replaced by sentence

‘This contrasts with the difference in life expectancy of a man born in summer versus one born in winter, which is almost equal’.

论文中的表 1 应替换为本说明的表 1。

论文中的表 2 应替换为本说明的表 2。

句子

'例如，取值$q_{65}^{\mathit{帕塞姆}}=\text{◂\#▸}0.00725439$和${米}_{65}^{\mathit{帕塞姆}}=\text{◂\#▸}0.00728081$从 PASEM2019 表和 SAI 获得$\text{◂◽:▸}{\tilde{\gamma }}_{\mathrm{1个},\mathrm{3个}}^{(65)}=\text{◂\#▸}0.91200$从表 1 中，我们有$\text{◂=▸}{}_{\mathrm{3个}}^{\mathrm{1个}}\text{◂◽.▸}{\widetilde{米}}_{65}={米}_{65}·\text{◂◽:▸}{\tilde{\gamma }}_{\mathrm{1个},\mathrm{3个}}^{(65)}=\text{◂\#▸}0.006640099$对于一个年满 65 岁的男性保单持有人，据此，该保单持有人在夏季年龄介于$65$和$65.25$是$\text{◂=▸}{}_{0.25}\text{◂◽:▸}{\tilde{q}}_{65}^{(\mathrm{3个})}=\text{◂+▸}{}_{\mathrm{3个}}^{\mathrm{1个}}\text{◂◽.▸}{\widetilde{米}}_{65}/(\mathrm{4个}+\text{◂⋅▸}0.5·{}_{\mathrm{3个}}^{\mathrm{1个}}\text{◂◽.▸}{\widetilde{米}}_{65})=\text{◂\#▸}0.00165864$'.

应该换成一句话

'例如，取值$q_{65}^{\mathit{帕塞姆}}=\text{◂\#▸}0.00725439$和${米}_{65}^{\mathit{帕塞姆}}=\text{◂\#▸}0.00728081$从 PASEM2019 表和 SAI 获得$\text{◂◽:▸}{\tilde{\gamma }}_{\mathrm{1个},\mathrm{3个}}^{(65)}=\text{◂\#▸}0.91131$从表 1 中，我们有$\text{◂=▸}{}_{\mathrm{3个}}^{\mathrm{1个}}\text{◂◽.▸}{\widetilde{米}}_{65}={米}_{65}·\text{◂◽:▸}{\tilde{\gamma }}_{\mathrm{1个},\mathrm{3个}}^{(65)}=\text{◂\#▸}0.0066351$对于一个年满 65 岁的男性保单持有人，据此，该保单持有人在夏季年龄介于$65$和$65.25$是$\text{◂=▸}{}_{0.25}\text{◂◽:▸}{\tilde{q}}_{65}^{(\mathrm{3个})}=\text{◂+▸}{}_{\mathrm{3个}}^{\mathrm{1个}}\text{◂◽.▸}{\widetilde{米}}_{65}/\left(\mathrm{4个}+\text{◂⋅▸}0.5·{}_{\mathrm{3个}}^{\mathrm{1个}}\text{◂◽.▸}{\widetilde{米}}_{65}\right)=\text{◂\#▸}0.00165740$'.

句子

“但是，我们发现女性（男性）的 SAI 保费差异高达 27.3%（27.1%），这取决于持有人的出生季节”

应该换成一句话

“但是，我们发现女性（男性）的 SAI 保费差异高达 21.5%（24.3%），这取决于持有人的出生季节”。

句子

“我们可以看到，C1 平均每个保单持有人将赚取 6.68 欧元，而 C2 平均每个保单持有人将损失 3.33 欧元”

应该换成一句话

“我们可以看到，C1 平均每个保单持有人将赚取 20.59 欧元，而 C2 平均每个保单持有人将损失 6.80 欧元”。

句子

“C1 和 C2 的总风险盈余分别为 383,137 欧元和 -335,822 欧元”

应该换成一句话

“C1 和 C2 的总风险盈余分别为 1,159,116 欧元和 -1,117,721 欧元”。

句子

“在这些条件下，例如，一组 101 名年龄在 0 到 100 岁之间的男性在一年中的预期寿命总和全年都在夏季生活，这将比相应的总和高 2.38 岁一群类似的人全年都生活在冬天”

应替换为

“在这些条件下，例如，一组 101 名年龄在 0 到 100 岁之间的男性在一年中的预期寿命总和全年都在夏季生活，这将比相应的总和高 2.16 岁一群类似的人全年都生活在冬天”。

句子

“这与夏季出生的男性与冬季出生的男性的预期寿命差异形成鲜明对比，后者为 0.30 岁”。

应该换成一句话

“这与夏季出生的男性与冬季出生的男性的预期寿命差异形成鲜明对比，后者几乎相等”。