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Find the EAR In each of the following cases
Find the EAR In each of the following cases.
(a) 10% annual interest, compounded quarterly
(b) 15% annual interest, compounded monthly
(c) 15% annual interest, compounded daily
(d) 16% annual interest, with infinite (continuous) compounding.
Expert Solution
a). Computation of the EAR:-
EAR = (1+APR/n)^n-1
Here,
APR = 10%
n = 4 periods (quarterly)
EAR = (1+10%/4)^4-1
= 1.1038 - 1
= 10.38%
b). Computation of the EAR:-
EAR = (1+APR/n)^n-1
Here,
APR = 15%
n = 12 periods (monthly
EAR = (1+15%/12)^12-1
= 1.1608 - 1
= 16.08%
c). Computation of the EAR:-
EAR = (1+APR/n)^n-1
Here,
APR = 15%
n = 365 periods (compounding daily)
EAR = (1+15%/365)^365-1
= 1.1618 - 1
= 16.18%
d). Computation of the EAR:-
EAR = e^rt - 1
Here,
T = Infinite (continuous compounding)
e = 2.7183
EAR = 2.7183^16% - 1
= 1.1735 - 1
= 17.35%
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