Calculate the effective rate of interest for a saving account paying a nominal rate of 3.65%
compounded quarterly.
(a) 0.037
(b) 0.048
(c) 0.025
(d) 0.061
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Given : a saving account paying a nominal rate of 3.65% compounded quarterly.
To Find : Calculate effective rate of interest
(a) 0.037
(b) 0.048
(c) 0.025
(d) 0.061
Solution:
Let say Principal = P
rate of interest = 3.65 % compounded quarterly.
rate of interest per Quarter R = 3.65/4
1 year n = 4 Quarters
A = P(1 + R/100)ⁿ
=> A = P (1 + 3.65/400)⁴
=> A = P (1.037)
=> A = 1.037P
interest Earned = A - P
= 1.037P - P
= 0.037P
P * R * 1/100 = 0.037P
=> R = 3.7 %
effective rate of interest = 3.7 % = 0.037
option a is correct
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