Quiz Math suatu modal sebesar 1 juta dibungakan majemuk 4% setiap tahun. suatu modal lain juga sebesar 1 juta dibungakan majemuk p% setiap tiga bulan. tentukan

P = 1.000.000
n = 1
i = 4%

Fn = P(1 + i)ⁿ
      = 1.000.000(1 + 0,04)¹
      = 1.000.000 x 1,04
      = 1.040.000

Fn = 1.040.000
n = 1
m = 4
i = p%
p = ?

Fn = P(1 + i/m)^mn
1.040.000 = 1.000.000(1 + p/400)⁴
(1 + p/400)⁴ = 1.040.000 / 1.000.000
(1 + p/400)⁴ = 1,04
(1 + p/400) = ⁴√1,04
(1 + p/400) = 1,01
(400 + p) / 400 = 1,0098
400 + p = 1,0098 x 400
400 + p = 403,92
p = 403,92 - 400
p = 3,92

Mn = M (1+ i)^n
dimana
n: jangka waktu
i : bunga majemuk
Mn : Modal akhir
M : Modal awal


maka


Mn = 1.000.000 (1+ 4/100)^1
= 1.000.000 (1,04)
= 1.040.000

karena modal akhir sama , maka

Mn1 = Mn2
1.040.00 = M(1+p%)^1(12/3)
1.040.000 = 1.000.000(1+p/400)^4
(1+p/400)^4 = 1,04
1+p/400 = ^4√1,04
p/400 = 1,01-1
p = 0,01 (400)
p = 4 << Jawaban