Answer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 8. Compound Interest How many years are required for P 1,000 to increase to P 2,000 if invested at 9% per year compounded continuously?
Answer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 8. Compound Interest How many years are required for P 1,000 to increase to P 2,000 if invested at 9% per year compounded continuously?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
Answer the following Compound Interest problem using the provided formula ONLY. Show your complete solution.
8. Compound Interest
How many years are required for P 1,000 to increase to P 2,000 if invested at 9% per year compounded continuously?
![annual
semiannual-
quarterly
bimonthly
-
➜
m = 1
m = 2
m = 4
m = 6
mn
F = P(1+1)
m
r = nominal interest rate
m= number of compounding
periuds per year
mn
n
F = PCI + ²
= PCI+
m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6da5a9c1-ae6d-4461-91a9-77653a09a976%2Fc33bec37-f02e-4ecf-8881-07830bc64da5%2Fyedix84_processed.jpeg&w=3840&q=75)
Transcribed Image Text:annual
semiannual-
quarterly
bimonthly
-
➜
m = 1
m = 2
m = 4
m = 6
mn
F = P(1+1)
m
r = nominal interest rate
m= number of compounding
periuds per year
mn
n
F = PCI + ²
= PCI+
m
![Nominal Rate of Interest
specifies rate of interest and a number of
interest periods in one year.
where:
i=
annual
31-
1
mi annual
m=1
m = 2
i= rate of interest per
interest period
r = nominal interest rate
m= number of compounding
periods per year](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6da5a9c1-ae6d-4461-91a9-77653a09a976%2Fc33bec37-f02e-4ecf-8881-07830bc64da5%2Ff0pi01x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Nominal Rate of Interest
specifies rate of interest and a number of
interest periods in one year.
where:
i=
annual
31-
1
mi annual
m=1
m = 2
i= rate of interest per
interest period
r = nominal interest rate
m= number of compounding
periods per year
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