At the end of every 3 months, Teresa deposits $1500 into an account that pays 6% compounded quarterly for 4 years. A) When this certificate matures, how much will Teresa have accumulated B) How much interest did Teresa earn? Show the use of the appropriate formulas for each part by indicating the evaluation of the formula with the information and provide the answer. Be sure to label the parts using the provided letters and organize your work neatly.

CONCEPTS IN FED.TAX.,2020-W/ACCESS
20th Edition
ISBN:9780357110362
Author:Murphy
Publisher:Murphy
Chapter5: Introduction To Business Expenses
Section: Chapter Questions
Problem 61P
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llustration 10-1 Compound Interest Formulas
Formula
If periodic payment is made at
the beginning of each period
When to use
Need to know FV; know PV
FV = PV(1 + i)
IA
Not applicable.
PV
Need to know FV; know PMT
Multiply the result by (1 + i).
(1 + i) -
FV = PMT
IB
PMT PMT PMT PMT
РМТ РМТ РМТ РМТ
Need to know PV; know FV
PV =FV
2A
Not applicable.
(1 + i)
FV
Multiply the result by (1 + i).
PMT PMT PMT PMT
Need to know PV; know PMT
PMT PMT PMT PMT
2B
PV = PMT
(1 + i)"
?
Need to know interest rate; know PV
and FV
FV
- 1
i = ?
Not applicable.
i =
FV
PV
Divide the result by (1 + i).
Need to know PMT; know FV
FV(i)
4A
PMT =
FV
(1 + i)" - 1
FV
Divide the result by (1 + i).
Need to know PMT; know PV
PV(i)
4B
PMT
PV
1-
(1 + i)"
PV
Need to know n; know at least two of these
variables: PV, FV, PMT
PV + (1 + i) (PMT)
- In
(PMI)
(1 + i) (PMT) - FV
PV +
- In
PMT -FV
5*
n= ?
n =
In(1 + i)
n =
In(1 + i)
esent value; FV = future value: PMT = periodic payment; i = interest rate per period, expressed in decimal form; n = total number of periods. The
ymbol In stands for natural logarithm.
Dona S is a comprehensive formula that covers quite a few situations. For this formula, use proper sign convention for PV, FV, and PMT. Think of the
PV
Transcribed Image Text:llustration 10-1 Compound Interest Formulas Formula If periodic payment is made at the beginning of each period When to use Need to know FV; know PV FV = PV(1 + i) IA Not applicable. PV Need to know FV; know PMT Multiply the result by (1 + i). (1 + i) - FV = PMT IB PMT PMT PMT PMT РМТ РМТ РМТ РМТ Need to know PV; know FV PV =FV 2A Not applicable. (1 + i) FV Multiply the result by (1 + i). PMT PMT PMT PMT Need to know PV; know PMT PMT PMT PMT PMT 2B PV = PMT (1 + i)" ? Need to know interest rate; know PV and FV FV - 1 i = ? Not applicable. i = FV PV Divide the result by (1 + i). Need to know PMT; know FV FV(i) 4A PMT = FV (1 + i)" - 1 FV Divide the result by (1 + i). Need to know PMT; know PV PV(i) 4B PMT PV 1- (1 + i)" PV Need to know n; know at least two of these variables: PV, FV, PMT PV + (1 + i) (PMT) - In (PMI) (1 + i) (PMT) - FV PV + - In PMT -FV 5* n= ? n = In(1 + i) n = In(1 + i) esent value; FV = future value: PMT = periodic payment; i = interest rate per period, expressed in decimal form; n = total number of periods. The ymbol In stands for natural logarithm. Dona S is a comprehensive formula that covers quite a few situations. For this formula, use proper sign convention for PV, FV, and PMT. Think of the PV
Use the appropriate formula located on Illustration 10-1 on page 209 to solve the problem.
At the end of every 3 months, Teresa deposits $1500 into an account that pays 6% compounded quarterly for 4 years.
A) When this certificate matures, how much will Teresa have accumulated
B) How much interest did Teresa earn?
Show the use of the appropriate formulas for each part by indicating the evaluation of the formula with the information and provide the
answer. Be sure to label the parts using the provided letters and organize your work neatly.
Transcribed Image Text:Use the appropriate formula located on Illustration 10-1 on page 209 to solve the problem. At the end of every 3 months, Teresa deposits $1500 into an account that pays 6% compounded quarterly for 4 years. A) When this certificate matures, how much will Teresa have accumulated B) How much interest did Teresa earn? Show the use of the appropriate formulas for each part by indicating the evaluation of the formula with the information and provide the answer. Be sure to label the parts using the provided letters and organize your work neatly.
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