find the final amount in this retirement account, in which the rate of return on the account and the regular contribution change over time  1500$ per quarter invested at 7.9% compound quarterly , for 20 years, then 1000$ per quarter invested at 6.8% compund quarterly for 10 years.    answer is about 620,187$

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 1Q
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find the final amount in this retirement account, in which the rate of return on the account and the regular contribution change over time 

1500$ per quarter invested at 7.9% compound quarterly , for 20 years, then 1000$ per quarter invested at 6.8% compund quarterly for 10 years. 

 

answer is about 620,187$

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
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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