Pembahasan Soal Ujian Profesi Aktuaris
| Institusi |
: |
Persatuan Aktuaris Indonesia (PAI) |
| Mata Ujian |
: |
Akuntansi |
| Periode Ujian |
: |
Agustus 2019 |
| Nomor Soal |
: |
27 |
SOAL
Data berikut ini untuk dipergunakan pada soal nomor 26 – 27.
Diketahui data per 31 Desember adalah sebagai berikut:
- Liquid assets : 275.000
- Stockholder’s equity : 120.000
- Realized capital gain and losses : 48.000
- Investment income : 15.000
- Beginning capital and surplus : 150.000
- Preferred stock dividends : 2.250
- Total liabilities : 250.000
- Number of common share outstanding : 21.000
- Return on Equity > 15%
Berdasarkan internal audit ditemukan kesalahan pencatatan data net income yang menyebabkan nilai Return on Earnings (ROE) dan Earning per Share (EPS) tidak tepat. Setelah dilakukan koreksi terhadap data net income diperoleh nilai ROE sebesar 13,25%. Jika market price per share of common stock diketahui sebesar 8,45, tentukan nilai price/earnings ratio berdasarkan data yang telah dikoreksi (pilih yang paling mendekati).
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- 13
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| Rumus yang digunakan |
Chapter 19 Page 612 [1]:
\(Return\_on\_Equity = \frac{{Net\_Income}}{{Stockholders\_equity}}\)
earning per share (EPS) \(= \frac{{Net\_Income – Preferred\_stock\_dividends}}{{Number\_of\_common\_share\_outstanding}}\) |
| Proses pengerjaan |
Chapter 19 Page 612 [1]:
\(Return\_on\_Equity = \frac{{Net\_Income}}{{Stockholders\_equity}}\)
\(13,25\% = \frac{{Net\_Income}}{{120.000}}\)
\(Net\_Income = 13,25\% (120.000) = 15.900\)
earning per share (EPS) \(= \frac{{Net\_Income – Preferred\_stock\_dividends}}{{Number\_of\_common\_share\_outstanding}}\) \(= \frac{{15.900 – 2.250}}{{21.000}} = 0,65\)
Price/Earning Ratio \(= \frac{{market\_price\_per\_share\_of\_common\_stock}}{{earning\_per\_Share{\rm{ }}\left( {EPS} \right)}}\) \(= \frac{{8,45}}{{0,65}} = 13\)
[1] Mulligan, E. and Stone, G. (1997). Accounting and financial reporting in life and health insurance companies. Atlanta, Ga.: Life Management Institute, LOMA. |
| Jawaban |
d. 13 |
