目次 (contents)

2.2

(part 1)
  (1+r)n=2
 ln(1+r)n=ln2
 nln(1+r)=ln2
    nr ≈ ln2
    n ≈ ln2 / r
    n ≈ ln2 / (i / 100)
    n ≈ 0.69 / (i / 100)
∴   n ≈ 69 / i

(part 2)
条件 r ≈ 0.08.
  (1+r)n=2
 ln(1+r)n=ln2
 nln(1+r)=ln2
n(r-(1/2)r2) ≈ ln2
    n ≈ ln2 / (r - (1 / 2)r2)
    n ≈ ln2 / r / (1 - (1 / 2)r)
    n ≈ 0.69 / (i / 100) / (1 - (1 / 2)0.08)
∴   n ≈ 72 / i


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