HP 33s User Manual

Page 285

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Miscellaneous Programs and Equations

17–3

SOLVE instructions:

1.

If

your

first

TVM calculation is to solve for interest rate, I, press 1

I

I.

2.

Press

| H

. If necessary, press

™

or

š

to scroll through the

equation list until you come to the TVM equation.

3.

Do one of the following five operations:

a.

Press



N to calculate the number of compounding periods.

b.

Press



I to calculate periodic interest.

For monthly payments, the result returned for I is the monthly interest rate,
i

; press 12

z

to see the annual interest rate.

c.

Press



B to calculate initial balance of a loan or savings account.

d.

Press



P to calculate periodic payment.

e.

Press



F to calculate future value or balance of a loan.

4.

Key in the values of the four known variables as they are prompted for; press

g

after each value.

5.

When you press the last

g

, the value of the unknown variable is calculated

and displayed.

6.

To calculate a new variable, or recalculate the same variable using different

data, go back to step 2.

SOLVE works effectively in this application without initial guesses.

Variables Used:

N

The number of compounding periods.

I

The periodic interest rate as a percentage. (For example, if the
annual

interest rate is 15% and there are 12 payments per year,

the periodic interest rate, i, is 15

÷12=1.25%.)

B

The initial balance of loan or savings account.

P

The periodic payment.

F

The future value of a savings account or balance of a loan.

Example:

Part 1.

You are financing the purchase of a car with a 3–year (36–month) loan

at 10.5% annual interest compounded monthly. The purchase price of the car is
$7,250. Your down payment is $1,500.

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