Pembahasan Soal Ujian Profesi Aktuaris
SOAL
Hitunglah \({p_{38}}\), bila diketahui sebagai berikut:
\({}_{23}^{20}{V_{15}} = 0,585\) \({}_{24}^{20}{V_{15}} = 0,600\) \(i = 0,08\)- 0,8482
- 0,979
- 0,9205
- 0,9470
- 0,9709
| Diketahui | \({}_{23}^{20}{V_{15}} = 0,585\) \({}_{24}^{20}{V_{15}} = 0,600\) \(i = 0,08\) |
| Rumus yang digunakan | \(\left( {{}_k^h{V_x} + {b_{k + 1}} \cdot {P_k}} \right){\left( {1 + i} \right)^s} = {b_{k + 1}} \cdot {}_s{q_{x + k}} + {}_s{p_{x + k}} \cdot {}_{k + s}^h{V_x}\) |
| Proses pengerjaan | \({}_{23}^{20}{V_{15}}\left( {1 + i} \right) = {q_{38}} + {p_{38}} \cdot {}_{24}^{20}{V_{15}}\) \(0.585\left( {1.08} \right) = 1 – {p_{38}} + 0.6{p_{38}}\) \({p_{38}} = \frac{{1 – 0.585\left( {1.08} \right)}}{{0.4}}\) \({p_{38}} = 0.9205\) |
| Jawaban | c. 0,9205 |