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revAdmin (Created page with "'''Answer: D''' We have Present Value of Modified Premiums <math>=</math> Present Value of level net premiums <math>v q_{x}+\beta\left(\ddot{a}_{25: \overline{20}}-1\right)+P \cdot{ }_{20} E_{25} \cdot \ddot{a}_{45: \overline{20}}=P \ddot{a}_{25: 40}</math> <math>\Rightarrow \beta=\frac{P\left(\ddot{a}_{25: \overline{40}}\right)-P \cdot{ }_{20} E_{25} \cdot \ddot{a}_{45: \overline{20}}-v q_{x}}{\ddot{a}_{25: 20 \mid}-1}=\frac{P \ddot{a}_{25: \overline{20}}-v q_{x}}{\d...")Jan 20'24 at 3:07+711