Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Related questions
Question
100%
fill the payment necessary to amortize the loan
$10,500, 12% compound monthly , 48 monthly payment
Answer : 276.50
![FORMULAS - CH. 4-1332
COMPOUND INTEREST
Formula for interest Paid n Times per
Year
SIMPLE INTEREST
1) I= Prt
2) A=P+ Prt
3) A= P(1 + rt)
APR
4) A=P|1+
n
5) CONTINUOUS COMPOUNDING
A =P•e
(APR x Y)
or A= Pet
ANNUAL PERCENTAGE YIELD
APR
7) APY = 1+-
6) APY -
(year end balance- starting balance)
x100%
= (1 + APR + n)" - 1
Calculator
Starting balance
SAVINGS PLANS
APR
APR
-1
n
8) A- PMT×
9) PMT = Ax
APR
1+
APR
-1
= PMT ((1 + APR + n)Y – 1) = (APR - n) = A(APR + n) - ((1 + APR + n)Y – 1)
Calculator
Calculator
LOAN PAYMENT FORMULA
APR
10) PMT = P x
APR
1-|1+
n
=P (APR + n) - (1 - (1+ APR + n) nY
Calculator
(A - P)
11) TOTAL RETURN =
P.
12) ANNUAL RETURN =
-1
Where P=Principal
r= annual rate
t= time in years
A = Amount or future value
I= Interest
APR - Annual Percentage Rate (as a
decimal)
n- number of compounding period per
year
Y = number of years
PMT = regular payment](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc702ff9-d3e6-4e4b-abbc-7bc2699ae04d%2Fe4aa0b4d-9eaf-46ef-a6ef-eba7de8e604c%2F47nrls_processed.jpeg&w=3840&q=75)
Transcribed Image Text:FORMULAS - CH. 4-1332
COMPOUND INTEREST
Formula for interest Paid n Times per
Year
SIMPLE INTEREST
1) I= Prt
2) A=P+ Prt
3) A= P(1 + rt)
APR
4) A=P|1+
n
5) CONTINUOUS COMPOUNDING
A =P•e
(APR x Y)
or A= Pet
ANNUAL PERCENTAGE YIELD
APR
7) APY = 1+-
6) APY -
(year end balance- starting balance)
x100%
= (1 + APR + n)" - 1
Calculator
Starting balance
SAVINGS PLANS
APR
APR
-1
n
8) A- PMT×
9) PMT = Ax
APR
1+
APR
-1
= PMT ((1 + APR + n)Y – 1) = (APR - n) = A(APR + n) - ((1 + APR + n)Y – 1)
Calculator
Calculator
LOAN PAYMENT FORMULA
APR
10) PMT = P x
APR
1-|1+
n
=P (APR + n) - (1 - (1+ APR + n) nY
Calculator
(A - P)
11) TOTAL RETURN =
P.
12) ANNUAL RETURN =
-1
Where P=Principal
r= annual rate
t= time in years
A = Amount or future value
I= Interest
APR - Annual Percentage Rate (as a
decimal)
n- number of compounding period per
year
Y = number of years
PMT = regular payment
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