Pembahasan Soal Ujian Profesi Aktuaris
| Institusi | : | Persatuan Aktuaris Indonesia (PAI) |
| Mata Ujian | : | A40 – Akuntansi |
| Periode Ujian | : | Mei 2018 |
| Nomor Soal | : | 25 |
SOAL
Diketahui data per 31 Desember sebagai berikut:
| Total Revenue | 1.500.000 |
| Capital and Surplus | 3.000.000 |
| Operating Expense | 800.000 |
| Stockholder’s Equity | 500.000 |
| Property and Equipment | 95.000 |
| Policy Benefit | 450.000 |
| Other Assets | 80.000 |
| Investment Income Tax | 15% |
| Minimum Required Rate of Return | 12% |
| Return on Investment | 25% |
Tentukan nilai economic value added (pilih yang paling mendekati):
- 75.000
- 100.000
- 130.000
- 250.000
- 500.000
PEMBAHASAN
| Rumus | - Residual Income (RI) = Economic Value Added (EVA)
- \(EVA = Operating\,income – (Minimum\,required\,rate\,of\,return\, \times \,Contollable\,investment)\)
- \(Operating\,income = Total\,revenues – Policy\,benefits – Operating\,\exp enses\)
- \(Controllable\,investment = \frac{{Operating\,income}}{{{\mathop{\rm Re}\nolimits} turn\,on\,investment}}\)
|
| Pembahasan | - \(Operating\,income = 1.500.000 – 450.000 – 800.000 = 250.000\)
- \(Controllable\,investment = \frac{{250.000}}{{25\% }} = \frac{{250.000}}{{0.25}} = 1.000.000\)
- \(\begin{array}{l} EVA = \,250.000 – (12\% \, \times \,1.000.000) = 250.000 – 120.000\\ \,\,\,\,\,\,\,\,\,\,\, = 130.000 \end{array}\)
|
| Jawaban | c. 130.000 |
