Pembahasan Soal Ujian Profesi Aktuaris
Institusi |
: |
Persatuan Aktuaris Indonesia (PAI) |
Mata Ujian |
: |
Akuntansi |
Periode Ujian |
: |
November 2013 |
Nomor Soal |
: |
3 |
SOAL
Pada suatu asuransi kesehatan diketahui:
- Incurred claims: 100.000
- Earned premium: 1.000.000
- Health insurance expense: 50.000
Berapakah combined rationya:
- 55%
- 10%
- 15%
- 60%
Diketahui |
- Incurred claims: 100.000
- Earned premium: 1.000.000
- Health insurance expense: 50.000
|
Rumus yang digunakan |
Chapter 19 Page 628-629[1] :
Loss Ratio \({\rm{ = }}\frac{{{\rm{Incurred\_Claims}}}}{{{\rm{Earned\_Premiums}}}}\)
Expense Ratio \({\rm{ = }}\frac{{{\rm{Health\_Insurance\_Expenses}}}}{{{\rm{Earned\_Premiums}}}}\)
Combined Ratio = Loss Ratio + Expense Ratio |
Proses pengerjaan |
Loss Ratio \({\rm{ = }}\frac{{100.000}}{{1.000.000}} = 0,1\)
Expense Ratio \({\rm{ = }}\frac{{50.000}}{{1.000.000}} = 0,05\)
Combined Ratio = 0,1 + 0,05 = 0,15 = 15%
[1] Mulligan, E. and Stone, G. (1997). Accounting and financial reporting in life and health insurance companies. Atlanta, Ga.: Life Management Institute, LOMA. |
Jawaban |
c. 15% |