Respuesta :
The amount that will be paid at the end of five years for the future value of $825, if it yields 7% annual interest and is compounded 52 times a year, is $1,170.46.
Write a brief note on Compound interest.
Compound interest, also known by the names of interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. In the fields of finance as well as economics, compound interest is common.
Compound interest allows interest to accumulate over time as opposed to simple interest, which does not compound because prior interest is not added to the principal for the current period.
To solve the question :
A = $1,170.46
A = P + I where,
P (Principal) = $825.00
I (Interest) = $345.46
To solve the question :
Converting R as a % to r as a decimal :
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 825.00(1 + 0.07/52)(52)(5)
A = 825.00(1 + 0.0013461538461538)(260)
A = $1,170.46
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $825.00 at a rate of 7% per year compounded 52 times per year over 5 years is $1,170.46.
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