Example 33: If Mr Kuber had lent $10 million
at an interest rate of 40% p.a. to a less preferred
customer Mr Narada, after how many years would
the principal double itself if compounded
half-yearly?
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Answer:
Step-by-step explanation:
The accumulation function for compound interest is :
Amount = P(1 + i)ⁿ
P = principle amount
i = interest rate
n = Time
Doing the substitution we have :
Amount = 50000 × (1.10) = 55000
here out n = 1
2) Half yearly
in this case :
n = 2 × the number of years
that is n = 2 for 1 year.
The interest is divided by two as follows :
10%/2 = 5%
doing the substitution :
Amount = 50000(1.05)² = 55125
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