Pembahasan Ujian PAI: A60 – No. 8 – Juni 2016

1. \(d = 0,05\)

2. 	Tahun Pertama		Tahun Berikutnya
   	Persen dari Premi Bruto	Per Polis	Persen dari Premi Bruto	Per Polis
   Pajak	4%	0	4%	0
   Komisi Agen	35%	0	2%	0
   Biaya Maintenance	0%	250	0%	50

    

3. Premi netto adalah 2.143

• PV(Gross Premium) = Net Single Premium + PV(Expenses) dengan
• PV(expenses) = PV(fixed expenses) + PV(settlement expenses) + PV(fraction of premium expenses)

\({A_{30:\left. {\overline {\, {20} \,}}\! \right| }} = 1 – d{\ddot a_{30:\left. {\overline {\, {20} \,}}\! \right| }} = 1 – 0.05\left( {14} \right) = 0.3\)

Gross premium:
\(G{{\ddot a}_{\left. {\overline {\, {30:20} \,}}\! \right| }} = 100,000{A_{\left. {\overline {\, {30:20} \,}}\! \right| }} + \left( {200 + 50{{\ddot a}_{\left. {\overline {\, {30:20} \,}}\! \right| }}} \right) + \left( {0.33G + 0.06G{{\ddot a}_{\left.{\overline {\, {30:20} \,}}\! \right| }}} \right)\)
\(14G = 100,000\left( {0.3} \right) + 200 + 50\left( {14} \right) + 0.33G + \left( {0.06} \right)\left( {14} \right)G\)
\(12.83G = 30,900\)
\(G = 2408.417771\)