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ovebrown
02.10.2019 •
Mathematics
Find and compare the future value after two years of a attracting interest at a rate of 10% compounded a) annually and b) semi annually. deposit of $100
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Ответ:
a) $121.00
b) $121.55
Step-by-step explanation:
We use the formula of Future Value
a) Future value of a deposit of $100 with an interest rate of 10% compounded annually
PV=100
i=10%
n= 2 years
b) Future value of a deposit of $100 with an interest rate of 10% compounded semiannually
PV=100
i=10%/2=5% (When compounding semiannually, the rate is divided by the number of semesters in a year, in this case 2)
n= 4 semesters
![FV= PV(1+i)^n\\FV= 100(1+0.05)^{4}\\FV= 100(1.05)^{4}\\FV= 100(1.22)\\FV=122.55](/tpl/images/0284/4817/1e8e6.png)
Basically, the difference is the number of periods n, in a) n=2: (1+i)^2 and in b) n=4: (1+i/2)^4.The more n, the more the future value.Ответ:
Step-by-step explanation:
2nd answer choice my guy Technically B. :33