Pembahasan Soal Ujian Profesi Aktuaris
| Institusi | : | Persatuan Aktuaris Indonesia (PAI) |
| Mata Ujian | : | Matematika Keuangan |
| Periode Ujian | : | November 2012 |
| Nomor Soal | : | 3 |
SOAL
Diketahui \({i^{\left( m \right)}} = 0,1646858\) dan \({d^{\left( m \right)}} = 0,1602864\), maka nilai m adalah….
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| Diketahui | - \({i^{\left( m \right)}} = 0,1646858\)
- \({d^{\left( m \right)}} = 0,1602864\)
|
| Rumus yang digunakan | \({i^{\left( m \right)}} = \frac{{{d^{\left( m \right)}}}}{{\left( {1 – \frac{{{d^{\left( m \right)}}}}{m}} \right)}}\) |
| Proses pengerjaan | \(0,1646858 = \frac{{0,1602864}}{{\left( {1 – \frac{{0,1602864}}{m}} \right)}}\)
\(\left( {\frac{{m – 0,1602864}}{m}} \right) = \frac{{0,1602864}}{{0,1646858}}\)
\(\frac{{m – 0,1602864}}{m} = 0,973286\)
\(m – 0,1602864 = 0,973286m\)
\(m – 0,973286m = 0,1602864\)
\(0,026714m = 0,1602864\)
\(m = \frac{{0,1602864}}{{0,026714}} = 6\) |
| Jawaban | b. 6 |
