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….
- 4
- 6
- 8
- 10
- 12
| 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 |
