HE-699 Learning To Use Your Financial Calculator
HE-0699, Reprinted October 1998. Josephine Turner, Extension Program Specialist, Professor,
Human Development and Family Studies, Auburn University.
Learning To Use Your Financial Calculator
|
Do you know how much your credit accounts cost you each month?
Can you achieve your financial goals even if you don't work on
Wall Street?
Have you ever wanted to compare savings or investment plans
offering different rates of return? Have you wondered how long
it would take you to save for the down payment on a house or to
buy a car for cash?
Have you longed to be able to compare the cost of loans with
different rates, different amounts, and different time periods?
Or, have you wished that you could compare the monthly payments
for different loan proposals?
Do you know how long it will take you to accumulate enough
money to send the children to college? Have you wondered about
the amount of money you would have available to finance your retirement
if you saved $2,000 a year? Or, would you like to know how long
your savings will last if your withdraw $1,000 per month? Have
you wondered what impact inflation will have on your retirement
"nest egg?"
Such problems can be solbed quickly and easily using a financial
calculator.* Although calculations involving compound interest,
periodic payments, and declining or increasing balances are complex,
a financial calculator makes them simple. Regardless of your mathematical
skills and training, you can make such calculations quickly and
easily. This workbook shows you how.
* A number of good financial calculators are
on the market. This circular uses Texas Instruments (TI) Calculator
BA-35, a business analyst calculator, as an example.
The Financial Calculator
Your TI BA-35 looks like this:

The [ON/C] key turns on the calculator. It also clears the
calculator of the current operation. To clear the calculator
of the current operation, press [ON/C] key twice. To clear an
incorrect numerical entry, press [ON/C] key only once.
The [OFF] key turns the calculator off. The display and any
pending operation are cleared when you thrn the calculator off.
It is always important to clear your calculator before each
calculation. Make sure your calculator is in the Financial Mode.
That is: [FIN] will be displayed in the window.
To clear your TI BA-35, press these keys: [ON/C], [2nd],
[N].
The Math Keys
The math function (operation) keys are dark orange and are
located on the right of your calculator. Press the keys in order
of math function desired. Think through the process and then press
the appropriate keys.
Practice each math function until you feel comfortable with
the pressure that must be applied to the keys to have the number
appear on the display screen.
The Financial Keys For The TI BA-35
| Value Keys |
Command Keys |
| [N] [%i] [PMT] [PV] [FV] |
[2nd] [CPT] [DUE] [+/-] |
| Key |
|
Function of Key |
| [N] |
= |
Number of periods (often 1 year but could be
1 day, week, or month). |
| [%i] |
= |
Interest per period. |
| [PMT] |
= |
Amount of payment made or received per period. |
| [PV] |
= |
Present value. |
| [FV] |
= |
Future value. |
| [2nd] |
= |
This key changes the function of keys from the
function written in white on the key to the function written
in orange above the key. |
| [CPT] |
= |
This key is pressed to ask the calculator to
solve for (compute) whichever "value" key is pressed
next and for end of the month payments. (Press the [CPT] key
and then the "value" key for the unknown value.) |
| [DUE] |
= |
This key is pressed to solve for beginning of
the month payments. (Press the [DUE] key and then the key for
the unknown value.) |
| [+/-] |
= |
This key is used to change the sign of the number
in the window. |
All five value keys may not be needed for a given problem.
If you know three values, you can solve for a fourth. If you know
four, you can solve for the fifth. For most problems the order
in which the problem is entered into the calculator will not make
any difference. The only requirement is that the known values
be entered before you press the [CPT] or [DUE] key to solve for
the unknown value.
The Magic Of Compounding Future Value
The value of money changes over time. A dollar received today
is worth more than a dollar received a year from now. This is
the opportunity cost of postponing the use of that dollar for
1 year.
Compounding interest is important because it forms the basis
of many financial calculations. Perhaps you are familiar with
the terms "compounded annually, quarterly, or daily."
These expressions mean that interest is figured on principal as
frequently as the period mentioned. This interest is then added
to the previous principal before the next calculation is made.
Annual compounding means that this calculation is made once each
year. The new interest is added to the principal before performing
the next year's calculation.
Problem 1:
For example, assume you have a $1,000 savings account earning
6% interest compounded annually. To determine how much the account
would be worth in 5 years, you would need to complete the calculations
below if you did not have a financial calculator.
| Year 1 |
$1,000
$1,000 |
X
+ |
6%
$60 |
=
= |
$60 interest
$1,060 balance |
| Year 2 |
$1,060
$1,060 |
X
+ |
6%
$63.60 |
=
= |
$63.60 interest
$1,123.60 balance |
| Year 3 |
$1,123.60
$1,123.60 |
X
+ |
6%
$67.42 |
=
= |
$67.42 interest
$1,191.02 balance |
| Year 4 |
$1,191.02
$1,191.02 |
X
+ |
6%
$71.46 |
=
= |
$71.46 interest
$1,262.48 balance |
| Year 5 |
$1,262.48
$1,262.48 |
X
+ |
6%
$75.75 |
=
= |
$75.75 interest
$1,338.23 balance |
You can imagine the time, effort, and frustration required
to calculate how much would be accumulated in 10, 25, or 30 years.
With a financial calculator, solving the problem for 5, 10, 25,
and 30 years takes less than a minute.
Easy Method
(It is important to set up your problem.) Determine the values
that are known:
- Present value [PV]: Yes.
- Interest rate [%i]: Yes.
- Number of periods [N]: Yes.
- Future value [FV]: No; this is the value you want to find.
Enter the knowns into your calculator exactly as shown:
| For 5 Years |
| Knowns: |
1,000 [PV]
6 [%i]
5 [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
1,338.23 |
| For 10 Years |
| Knowns: |
1,000 [PV]
6 [%i]
10 [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
1,790.85 |
| For 25 Years |
| Knowns: |
1,000 [PV]
6 [%i]
25 [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
4,291.87 |
| For 30 Years |
| Knowns: |
1,000 [PV]
6 [%i]
30 [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
5,743.49 |
| NOTE: Commas are used in problems
in this booklet to make reading easier. The calculator does not
display them. |
Quick Method
| For 5 Years |
| Knowns: |
1,000 [PV]
6 [%i]
5 [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
1,338.23 |
| For 10 Years |
| Known: |
[ON/C]
10 [N] |
|
|
| Solution |
[CPT] [FV] |
= |
1,790.85 |
| For 25 Years |
| Known: |
[ON/C]
25 [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
4,291.87 |
| For 30 Years |
| Known: |
[ON/C]
30 [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
5,743.49 |
Compounding interest is how you, too, can achieve your financial
goals over time.
Problem 2:
This problem is the same as Problem 1, except that a second
financial institution will give you 6% interest on the account
compounded quarterly. How much difference will the "compounding
period" make in the value of the account over 30 years?
NOTE: All calculations must be kept in the same time frame.
Quarterly means the interest rate must be divided by four. It
also means that the time (years) must be multiplied by four.
Easy Method
| For 5 Years |
| Knowns: |
1,000 [PV]
6 / 4 = [%i]
5 x 4 = [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
1,346.86 |
Quick Method |
| For 10 Years |
| Known: |
[ON/C]
10 x 4 = [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
1,814.02 |
| For 25 Years |
| Known: |
[ON/C]
25 x 4 = [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
4,432.05 |
| For 30 Years |
| Known: |
[ON/C]
30 x 4 = [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
5,969.32 |
Over the 30-year period, compounding quarterly will yield $225.83
more than compounding annually on a $1,000 investment at 6% interest
(5,969.32 - 5,743.49). Clear Calculator. (see note in bold in
first section for instructions.)
Problem 3:
Let's suppose that you inherited or won $100,000 today. You
placed this money in an acocunt paying 8% interest. How much more
will your money earn over 30 years, if the interest is compounded
quarterly rather than annually? (Note: Be sure to enter correct
periods [N].)
| Knowns: |
100,000 [PV]
8 [%i]
30 [N] |
|
|
| Solution |
[CPT] [FV] |
= |
1,006,265.70 |
| |
|
|
|
| |
[ON/C] |
|
|
| Knowns: |
100,000 [PV]
8 / 4 = [%i]
30 x 4 = [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
1,076,516.30 |
The difference due to compounding quarterly instead of annually
over a 30 year period is $70,250.60. (1,076,516.30 - 1,006,265.70)
Problem 4:
JoAnn is considering using the $20,000 in her savings account
as a down payment on her dream house. However, before she does
this she would like to know how much her investment would be worth
in 30 years if she invested it at 10% interest compounded quarterly.
| Knowns: |
__________ [PV]
__________ [N]
__________ [%i] |
|
|
| Solution |
[CPT] [FV] |
= |
__________ |
(See answer sheet at end for the solution to Problem 4.)
Present Value Of A Future Sum
"Would you rather have $1.00 today or $1.06 a year from
now?" Sometimes you know the amount of money to be received
at a future date but don't know what it is worth today. An example
of this is the value of an insurance policy, a trust fund, or
winnings from the local lottery. You can use your financial calculator
to determine today's value of the lump sum by solving for the
unknown present value. This is illustrated in the next problem.
Problem 5:
Your rich aunt left a trust for you that will be worth $20,000
on your 40th birthday. Today is your birthday and you are 25 years
old. What is the value of your gift today if the trust fund is
earning 7%, 9%, or 12%? This is discounting. This number is smaller
than the future sum. That is how we know the PV (present value)
of a future sum. (Remember to clear your calculator before beginning
the problem.)
| Knowns: |
20,000 [FV]
15 [N] (40 - 25 years = 15)
7 [%i] |
|
|
| Solution: |
[CPT] [PV] |
= |
7,248.92 |
Known: |
[ON/C]
9 [%i] |
|
|
| Solution: |
[CPT] [PV] |
= |
5,490.76 |
Known: |
[ON/C]
12 [%i] |
|
|
| Solution: |
[CPT] [PV] |
= |
3,653.93 |
Problem 6:
You would like to give your grandson $20,000 to assist with
his college education. He was born today and you expect him to
be ready for college in 18 years. How much money should you set
aside today if the interest (discount) rate is 6%?
| Knowns: |
__________ [PV]
__________ [N]
__________ [%i] |
|
|
| Solution |
[CPT] [FV] |
= |
__________ |
(See answer sheet for the solution to Problem 6.)
Rate Of Return
The interest you pay on loans is determined by the interest
rate. If you receive interest payments on savings, you also want
to know the rate of return on money you have invested. Your financial
calculator can help you in determining the rate of return received
on an investment. The next problem is an example.
Problem 7:
Your aunt gave you a diamond watch valued at $5,000. Four years
later you sell the watch for $9,500. What rate of return did you
receive?
| Knowns: |
5,000 [PV]
9,500 [FV]
4 [N] |
|
|
| Solution: |
[CPT] [%i] |
= |
17.4% |
Problem 8:
Joan and Jack purchased their house for $40,000, 30 years ago.
They are planning to sell the house and buy a condo near their
children. The house is now valued at $250,000. What is the annual
rate of return on their investment?
| Knowns: |
__________ [PV]
__________ [N]
__________ [%i] |
|
|
| Solution |
[CPT] [FV] |
= |
__________ |
(see answer sheet for solution to Problem 8.)
Problem 9:
You purchased a "Bo Jackson" baseball card for $5.00,
6 years ago. Today your best friend offered you $25.00 for it.
If you sold it, what would be your rate of return? (See answer
sheet for the solution to Problem 9.)
Problem 10:
Your father says that he used to buy soft drinks for 10 cents
a bottle. Today, 20 years later, the same size drink costs 60
cents. What is the rate of inflation (annual price increase) on
this drink? (See answer sheet for the solution to Problem 10.)
Time Needed To Realize Financial Goals
The financial calculator can assist you in determining how
long it will take you to reach your financial goals. This is illustrated
in the problems listed below.
Problem 11:
Your uncle purchased a lot for $65,000 this year. The lot is
expected to appreciate 8% per year. He wants to sell the lot for
$100,000. If the lot appreciates as expected, when can he plan
to sell the lot?
| Knowns: |
65,000 [PV]
100,000 [FV]
8 [%i] |
|
|
| Solution: |
[CPT] [N] |
= |
5.6 years |
Problem 12:
Your next-door neighbor inherited $500,000 from a long-lost
relative. Your neighbor has always wanted to be a millionaire.
a) If your neighbor can invest the money at 9% interest compounded
annually, how long will it be before his dream is realized?
b) If the investment is compounded monthly, how long before his
dream is realized?
(See answer sheet for the solution to Problem 12.)
A "quick and dirty" method of determining how long
it would take for a present value to double can be determined
by the "Rule of 72." According to the Rule of 72, divide
72 by the interest rate and this will give you the time needed
for your money to double. In the above problem, 72 divided by
9 equals 8 years.
Payments Needed To Reach Financial Goals
In the above problems you have solved for:
- The future value of a present sum.
- The present value of a known future sum.
- The rate of return on an investment.
- The number of years needed to achieve a lump sum goal.
In this section, the focus will be on a stream of payments,
also known as an annuity.
In the real world many investments require a series of payments
or deposits. For example, Individual Retirement Accounts (IRA's)
and Keogh plans require a series of annual or monthly deposits,
not a single lump sum deposit.
A series of payments or deposits are called annuities.
So when someone calls something an annuity, they are merely making
reference to the payment or receipt of a series of dollars, instead
of a single lump sum.
You will recall we said that to solve time value of money problems,
you will be given three or four values, and you solve for the
unknown value.
When working with annuities, the rules are exactly the same,
except that the unknown value changes. In all of our previous
problems, the known values were [N], [%i], [PV], or [FV]. Three
were known and you solved for the unknown. The [PMT] key was not
needed as you only worked with a lump sum. When working with the
future value of annuities, you will work with a series of payments
[PMT], not a single lump sum [PV]. Therefore the [PMT] key will
be used.
When you press the [PMT] key, you will see [ANN] in the window
of your calculator. You MUST clear your calculator between
problems. Remember, to clear your calculator press the following
keys: [ON/C], [2nd], [N].
Problem 13:
You deposit $2,000 at the end of each year into an IRA account
that earns 10% per year compounded annually. How much will be
accumulated for your retirement in 20 years?
| Knowns: |
2,000 [PMT]
10 [%i]
20 [N] |
|
|
| Solution |
[CPT] [FV] |
= |
-114,550* |
* - This is a negative number. If you want it to be positive,
press the [+/-] key before pressing the [PMT] key. For most investment
and loan calculations, enter [PMT] as a positive value. For savings
calculations with periodic deposits enter [PMT] as a negative
value.
| Revised: |
2,000 [+/-] [PMT]
10 [%i]
20 [N] |
|
|
| Solution |
[CPT] [FV] |
= |
114,550 |
Clear calculator.
Problem 14:
Beatrice and Bernie have developed a saving or investment plan
with a mutual fund company. They plan to invest $200 each month
for the next 25 years to fund their retirement plan. They expect
to realize a return equal to 8% compounded monthly. How much money
will they have at their target retirement date?
| Knowns: |
________ [PMT]
__________ [%i]
___________ [N] |
|
|
| Solution |
[CPT] [FV] |
= |
__________ |
(See answer sheet for the solution to Problem 14.)
Clear calculator.
Problem 15:
You would like some new furniture; the cost is $6,000. You
don't have the money now, but, since you have been able to pay
off some other bills, you can save $200 per month. How many months
will be required to reach your goal of $6,000 if you get 6% interest
compounded monthly on your savings? (Clear your calculator.)
| Knowns: |
6,000 [FV]
200 [+/-] [PMT]
6 / 12 = [%i]* |
|
|
| Solution |
[CPT] [N] |
= |
28.02 months |
* - Remember, all calculations must be kept in the same time
frame. Monthly means the interest rate must be divided by 12.
Now, clear your calculator by pressing the [ON/C] key, the [2nd]
key, and the [N] key.
Problem 16:
April and Dan want to accumulate $15,000 for a down payment
on their first house. The couple intend to set aside $300 at the
beginning of each month in a savings account offering %5.5 compounded
monthly. They would like to know how long it will take to reach
their goal. (Note they plan to make payments at the beginning
of the month.)
| Knowns: |
________ [FV]
_______ [PMT]
___________ [%i] |
|
|
| Solution |
[DUE] [N] |
= |
__________ |
(See answer sheet for the solution to Problem 16.)
Problem 17:
James wants to go to college and knows it will cost him $20,000
to do so. He hurts his knee in the final football game of his
senior year and lost all football scholarship opportunities. He
did not qualify for any grants or student loans. But he is determined
to go for his degree in engineering. The only job he can find
is flipping burgers as an assistant manager in a fast food restaurant.
He brings home $150.00 each week and figures if he lives at home
he can save $400 per month. If he invests the money at 6% annual
interst compounded monthly, when will he have the $20,000 needed
to go to college? (See answer sheet for the solution to Problem
17.)
Computing Payments On Installment Loans
All too often only two questions are asked when consumers shop
for a loan. They are: (1) How much can I borrow? and (2) What
are the monthly payments? The problems below focus on computing
payments and cost of loans. The ability to figure installment
loans is important in determining affordability.
Problem 18:
You have found your dream house. The proce is $100,000. You
have $40,000 as a down payment, so you will need to finance $60,000
of this amount. You have shopped at least three sources and the
best interest rate you can find is an 8% fixed rate mortgage for
15 years. You are trying to decide if you can make the monthly
payments on your salary. What will be your monthly payments? (Clear
your calculator.)
| Knowns: |
60,000 [PV]
8 / 12 = [%i]
15 x 12 = [N] |
|
|
| Solution |
[DUE] [PMT] |
= |
569.59 |
Remember, the [DUE] key represents payments due at the beginning
of the month.
Monthly payment x 180 months = $102,526.20 (minus $60,000 =
$42, 526.20, the cost of the 15-year loan).
If this payment is too much, you can obtain a 30-year mortgage
for 8.25%. What will be the monthly payments?
| Knowns: |
60,000 [PV]
8.25 / 12 = [%i]
30 x 12 = [N] |
|
|
| Solution |
[DUE] [PMT] |
= |
447.68 |
Monthly payment x 360 months = $161,164.80. (minus $60,000
= $101,164.80, the cost of the 30-year loan.)
Note: The monthly payments on a 15-year loan were only $121.91
more than the monthly payment on a 30-year loan. By paying the
loan off in 15 years as opposed to 30, you could save approximately
$58,600 in finance charges.
Computing Retirement Payments
Much of retirement planning focuses on the accumulation of
a "nest egg" for retirement. An aspect of equal importance
is the distribution of the nest egg from a lump sum account to
a stream of monthly or quarterly income payments. The problems
below show how to calculate the amount of payments and how long
these payments will last at a specific interest rate.
Problem 19:
Brenda's husband died last year, leaving her with savings of
$25,000, a life insurance benefit of $50,000, and a home and property
equity of $95,000. Brenda is retired and intends to use this money
as a source of income. She has already placed all of the money
from these various sources into one account offering 12% annual
interest compounded monthly. Now, she wants to know how much monthly
income she can expect if the money must last 20 years.
| Knowns: |
_____ [N]
_____ [%i]
_____ [PV] |
|
|
| Solution |
[CPT] [PMT] |
= |
_____ |
(See answer sheet for solution to Problem 19.)
Note: It may be to Brenda's advantage to diversify her investment
capital. Advice from her financial advisors may be helpful in
making this decision.
Problem 20:
If Brenda needed payments of $2,500 per month, how long would
her $170,000 last at a 12% annual rate of return?
| Knowns: |
_____ [%i]
_____ [PV]
_____ [PMT] |
|
|
| Solution |
[CPT] [N] |
= |
_____ |
(See answer sheet for the solution to Problem 20.)
Problem 21:
Fred and Fred have accumulated $100,000 in savings for their
retirement and have invested it in an account paying 7.5% compounded
monthly. The couple would like to know how much money per month
they could withdraw from this account if the payments were to
last 10 years, 15 years, 20 years, or 25 years.
| For 10 Years |
| Knowns: |
100,000 [PV]
7.5 / 12 = [%i]
12 x 10 = [N] |
|
|
| Solution: |
[CPT] [PMT] |
= |
1,187.02 |
| For 15 Years |
| Knowns: |
100,000 [PV]
7.5 / 12 = [%i]
12 x 15 = [N] |
|
|
| Solution |
[CPT] [PMT] |
= |
927.01 |
| For 20 Years |
| Knowns: |
100,000 [PV]
7.5 / 12 = [%i]
12 x 20 = [N] |
|
|
| Solution: |
[CPT] [PMT] |
= |
805.59 |
| For 25 Years |
| Known: |
100,000 [PV]
7.5 / 12 = [%i]
12 x 25 = [N] |
|
|
| Solution: |
[CPT] [PMT] |
= |
738.99 |
Problem 22:
If Fred and Freda could get 10% annual return compounded monthly
on their investment, how long would monthly payments of $1,000,
$1,500, $2,000, and $2,500 last? (See answer sheet for the solution
to Problem 22.)
Now it is time for you to find solutions to your own financial
problems. Refer to this manual as well as the manual accompanying
your financial calculator.
Conclusion
Once upon a time there were two bums in the park talking about
the path in life they had taken which led them to be homeless
and sleeping in the park. One bum said: "I just wouldn't
listen to anybody's good advice." The other mulled over the
analysis of the first and after giving it carefu lthought said:
"You know the reason I am where I am today is because I listened
to everybody's good advice."
The moral of this story is that advice may be good and beneficial
or bad and costly, but no one can or will look after your financial
interest like you can and should.
We hope this experience with a financial calculator has given
you inspiration and confidence as well as the expertise to deal
with the money in your future. The dynamics of money as affected
by time, interest rate, and principal adds a dimension to financial
planning and decision making that is both exciting an dsometimes
unsettling. However, it is a dimension that you can master with
enough expertise to evaluate your own financial decisions and
guide your own financial future.
The struggle of many families to make ends meet often centers
on saving pennies on canned goods at the grocery store. While
this strategy need not be neglected, it is perhaps more important
for families and individuals to examine the many financial instruments
into which hundreds and thousands of dollars are poured over the
years.
Are you getting your money's worth? Maybe it's time to calculate
and evaluate.
References
McKenzie, Dennis J. 1984. The Calculating Financial Planner:
Time Value of Money. California.
Texas Instruments. 1989. BA-35 Quick Refenrece Guide.
Lubbock, Texas.
Wall, Ronald W. 1984. Calculating Your Finances. University
of Hawaii. College of Tropical Agriculture and Human Resources.
Answers
Problem 4:
| Knowns: |
20,000 [PV]
30 x 4 = [N]
10 / 4 = [%i] |
|
|
| Solution |
[CPT] [FV] |
= |
387,162.99 |
Problem 6:
| Knowns: |
20,000 [FV]
18 [N]
6 [%i] |
|
|
| Solution: |
[CPT] [PV] |
= |
7,006.88 |
Note: If interest is compounded quarterly, dollars needed to reach
goal will be less.
Problem 8:
| Knowns: |
30 [N]
40,000 [PV]
250,000 [FV] |
|
|
| Solution: |
[CPT] [%i] |
= |
6.3% |
Problem 9:
| Knowns: |
5 [PV]
6 [N]
25 [FV] |
|
|
| Solution: |
[CPT] [%i] |
= |
30.77% |
Problem 10:
| Knowns: |
0.10 [PV]
0.60 [FV]
20 [N] |
|
|
| Solution: |
[CPT] [%i] |
= |
9.37%* |
* - Average annual rate of increase.
Problem 12:
| a) Annual compounding |
| Knowns: |
500,000 [PV]
1,000,000 [FV]
9 [%i] |
|
|
| Solution: |
[CPT] [N] |
= |
8 years |
| b) Monthly compounding |
| Knowns: |
500,000 [PV]
1,000,000 [FV]
9 / 12 [%i] |
|
|
| Solution: |
[CPT] [N] |
= |
92.77 mo.
(7.7 years) |
Problem 14:
| Knowns: |
200 [+/-] [PMT]
8 / 12 = [%i]
25 x 12 = [N] |
|
|
| Solution: |
[CPT] [FV] |
= |
190,205.27 |
Problem 16:
| Knowns: |
5.5 / 12 = [%i]
300 [+/-] [PMT]
15,000 [FV] |
|
|
| Solution: |
[DUE] [N] |
= |
44.94 mo.
(3.7 years) |
Problem 17:
| Knowns: |
20,000 [FV]
6 / 12 = [%i]
400 [+/-] [PMT] |
|
|
| Solution: |
[CPT] [N] |
= |
44.74 mo.
(3.7 years) |
Problem 19:
| Knowns: |
20 x 12 = [N]
12 / 12 = [%i]
25,000
+ 50,000
+ 95,000
= [PV] |
|
|
| Solution: |
[CPT] [PMT] |
= |
1,871.85* |
*Monthly income for 20 years.
Problem 20:
| Knowns: |
12 / 12 = [%i]
170,000 [PV]
2,500 [+/-] [PMT] |
|
|
| Solution: |
[CPT] [N] |
= |
114.5 mo.
(9.5 years) |
Problem 22:
| $1,000 |
| Knowns: |
10 / 12 = [%i]
100,000 [PV]
1,000 [PMT] |
|
|
| Solution: |
[CPT] [N] |
= |
215.9 mo.
(18 years) |
| $1,500 |
| Knowns: |
10 / 12 = [%i]
100,000 [PV]
1,500 [PMT] |
|
|
| Solution: |
[CPT] [N] |
= |
97.72 mo.
(8 years) |
| $2,000 |
| Knowns: |
10 / 12 = [%i]
100,000 [PV]
2,000 [PMT] |
|
|
| Solution: |
[CPT] [N] |
= |
64.95 mo.
(5.4 years) |
| $2,500 |
| Knowns: |
10 / 12 = [%i]
100,000 [PV]
2,500 [PMT] |
|
|
| Solution: |
[CPT] [N] |
= |
48.86 mo.
(4.1 years) |
Other Titles In The Money Management Series
By Jo Turner, Extension Program Specialist
Circular HE-351, "Records And Important Papers."
Circular HE-368, "Money Management Makes Cents."
Circular HE-369, "Retirement Years: How Are You Planning?"
Circular HE-439, "Credit Law -- Truth In Spending."
Circular HE-440, "The Fair Credit Billing Act."
Circular HE-445, "Credit Law -- The Fair Credit Reporting
Act."
Circular HE-446, "Credit Law -- The Fair Debt Collection
Act."
Circular HE-447, "Credit Law -- Three Days To Cancel."
Circular HE-448, "Pay Now Or Pay Later."
Circular HE-449, "Shopping For Credit."
Circular HE-450, "How Much Credit Can You Afford?"
Circular HE-451, "Your Credit Contract."
Circular HE-452, "Credit Cards."
Circular HE-453, "Your Credit Rating."
Circular HE-454, "If You Can't Pay Your Bills."
Circular HE-492, "Debt Consolidation."
Circular HE-493, "Money Management Calendar."
Circular HE-513, "Protection Dollar -- Home Insurance."
Circular HE-514, "Protection Dollar -- Auto Insurance."
Circular HE-515, "Protection Dollar -- Health Insurance."
Circular HE-516, "Protection Dollar -- Life Insurance."
Circular HE-516a, "Life Insurance Worksheet."
Circular HE-517, "Protection Dollar -- Buying Insurance."
Circular HE-573, "Living Resourcefully With Reduced Income."
Circular HE-624, "Planning For Financial Security."
Circular HE-625, "Savings And Investments."
Circular HE-626, "Basics Of Bonds."
Circular HE-627, "Stocks And Mutual Funds."
Circular HE-628, "Individual Retirement Accounts And Other
Retirement Savings Plans." Reference
to a company or product name does not imply approval or recommendation
of the product by the Alabama Cooperative Extension Service or
the United States Department of Agriculture to the exclusion of
others that may also be suitable. For
more information, call your county Extension office. Look in your
telephone directory under your county's name to find the number.
For more information, contact your county Extension office. Visit http://www.aces.edu/counties or look in your telephone directory under your county's name to find contact information.
Issued in furtherance of Cooperative Extension work in agriculture and
home economics, Acts of May 8 and June 30, 1914, and other related
acts, in cooperation with the U.S. Department of Agriculture. The Alabama
Cooperative Extension System (Alabama A&M University and Auburn
University) offers educational programs, materials, and equal
opportunity employment to all people without regard to race, color,
national origin, religion, sex, age, veteran status, or disability.
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