Solution
Let us consider, the equivalent nominal rate is "x", then the future value is
A = P{\left( {1 + \frac{x}{n}} \right)^{nt}}\
But for the continuous compounding, we have
A=P⋅ert
Therefore,
P⋅ert=P(1+nr)nt
(er)t=(1+nr)nt
er=(1+nr)n
e0.13974=(1+4x)4
1+4x=(e0.13974)41
4x=(e0.13974)41−1
x=4⋅[(e0.13974)41−1]
x=0.1422095828
Hence the nominal rate is 14.221%
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