The simple interest rate per year that will accu­mulate the same amount of money in 2 years as a compound interest rate of 20% per year is closest to:

(a) 20.5%
(b) 21%
(c) 22%
(d ) 23%


F in year 2 at 20% compound interest = P(1.20)(1.20) = 1.44P
For simple interest, F = P + Pni = P(1 + ni)

P(1 + 2i) = 1.44P
(1 + 2i) = 1.44P
i = 22%

(c) 22%

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