Revision as of 00:27, 19 January 2024 by Admin (Created page with "'''Answer: C''' <math>\ddot{a}_{65: \overline{10}}=\ddot{a}_{10 \mid}+{ }_{10} E_{65} \times \ddot{a}_{75}=8.10782+0.55305 \times 10.3178=13.8141</math> Assuming payments of 1 (any other payment amount would just cancel, giving the same number of years), 14 payments are needed for the sum of payments to exceed 13.8141. That requires surviving to the start of year 14, thus surviving 13 years. <math>{ }_{13} p_{65}=\frac{l_{78}}{l_{65}}=\frac{80,006.2}{94,579.7}=0.846</...")
Exercise
Jan 19'24
Answer
Answer: C
[math]\ddot{a}_{65: \overline{10}}=\ddot{a}_{10 \mid}+{ }_{10} E_{65} \times \ddot{a}_{75}=8.10782+0.55305 \times 10.3178=13.8141[/math]
Assuming payments of 1 (any other payment amount would just cancel, giving the same number of years), 14 payments are needed for the sum of payments to exceed 13.8141. That requires surviving to the start of year 14, thus surviving 13 years.
[math]{ }_{13} p_{65}=\frac{l_{78}}{l_{65}}=\frac{80,006.2}{94,579.7}=0.846[/math]