Pembahasan Ujian PAI: A10 – No. 18 – Juni 2016

• \({i_A} = 8\% \)
• \({i_B} = 4\% \)

• \(a(t) = 1 + it\)
• \(\delta = \frac{{a'(t)}}{{a(t)}}\)

Untuk simple discount rate:
\(a(t){\rm{ }} = {\rm{ }}{(1 – 0,04t)^{ – 1}}\) \(a'(t){\rm{ }} = \frac{{0,04}}{{{{(1 – 0,04t)}^2}}}\) \({\delta _{simple\_interest\_rate}} = {\delta _{simple\_discount\_rate}}\) \(\frac{{0,08}}{{1 + 0,08t}} = \frac{{\frac{{0,04}}{{{{(1 – 0,04t)}^2}}}}}{{{{(1 – 0,04t)}^{ – 1}}}}\) \(\frac{{0,08}}{{1 + 0,08t}} = \frac{{0,04}}{{(1 – 0,04t)}}\) \(t = 6,25\)