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
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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 |
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