Two accounts each begin with a deposit of $7000. Both accounts have rates of 6.5%, but one account compounds interest once a year while the other account compounds interest continuously. Make a table that shows the amount in each account and the interest earned after one year, five years, ten years, and 20 years. i Click the icon to view some finance formulas. 1 year Compounded annually Interest $ Balance $ Compounded continuously Balance Interest $ $

Cornerstones of Financial Accounting
4th Edition
ISBN:9781337690881
Author:Jay Rich, Jeff Jones
Publisher:Jay Rich, Jeff Jones
ChapterA3: Time Value Of Money
Section: Chapter Questions
Problem 3CE
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Two accounts each begin with a deposit of $7000. Both accounts have rates of 6.5%, but one
account compounds interest once a year while the other account compounds interest
continuously. Make a table that shows the amount in each account and the interest earned after
one year, five years, ten years, and 20 years.
iClick the icon to view some finance formulas.
1 year
5 years
10 years
20 years
Compounded annually
Interest
$
$
Balance
$
$
$
$
$
$
(Round to the nearest dollar as needed.)
Compounded continuously
Balance
Interest
$
$
Transcribed Image Text:Two accounts each begin with a deposit of $7000. Both accounts have rates of 6.5%, but one account compounds interest once a year while the other account compounds interest continuously. Make a table that shows the amount in each account and the interest earned after one year, five years, ten years, and 20 years. iClick the icon to view some finance formulas. 1 year 5 years 10 years 20 years Compounded annually Interest $ $ Balance $ $ $ $ $ $ (Round to the nearest dollar as needed.) Compounded continuously Balance Interest $ $
In the provided formulas, A is the balance in the account after t years, P is the
principal investment, r is the annual interest rate in decimal form, n is the number
of compounding periods per year, and Y is the investment's effective annual yield
in decimal form.
nt
A=P(1 + - m²
P=
=
A
nt
(1 + 1)²
A = Pert
n
Y = (₁+) ^-₁
1
Transcribed Image Text:In the provided formulas, A is the balance in the account after t years, P is the principal investment, r is the annual interest rate in decimal form, n is the number of compounding periods per year, and Y is the investment's effective annual yield in decimal form. nt A=P(1 + - m² P= = A nt (1 + 1)² A = Pert n Y = (₁+) ^-₁ 1
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