This solution requires four steps:

1.Calculate the present value of the 47 monthly payments: (4 × 12) - 1 = 47.

2.Add the value of the additional advance payment.

3.Find the present value of the buy option.

4.Sum the values calculated in steps 2 and 3.

Step 1

Find the present value of the monthly payments.

Set to Begin mode. Press if BEGIN annunciator is not displayed.

Table 6-13

Calculating the present value

 

 

 

 

 

 

Keys

 

Display

Description

 

 

 

JG\Í

12.00

Sets payments per year.

 

 

 

 

 

YjÙ

47.00

Stores number of payments.

 

 

 

 

 

GY::yÌ

-2,400.00

Stores monthly payment.

 

 

 

 

 

0.00

Stores FV for Step 1.

 

 

 

 

 

9.00

Stores interest rate.

 

 

 

 

 

 

Ï

 

95,477.55

Calculates the present value of

 

 

47 monthly payments.

 

 

 

 

Step 2

Add the additional advance payment to PV. Store the answer.

Table 6-14 Adding the advance payment

 

 

Keys

 

Display

Description

 

 

 

 

 

 

 

 

 

1vÌy4

 

payment

 

 

 

 

 

97,877.55

Adds additional advance.

 

 

 

 

 

 

 

 

 

 

s

 

97,877.55

Stores result in M register.

 

 

 

 

 

 

 

 

 

 

 

 

 

Step 3

 

 

 

 

Find the present value of the buy option.

 

 

 

 

Table 6-15

Calculating the present value of the last cash flow

 

 

 

 

 

 

 

 

 

Keys

 

Display

Description

 

 

 

 

 

 

 

 

 

YgÙ

48.00

Stores month when buy option

 

 

 

occurs.

 

 

 

 

 

 

 

 

Time Value of Money Calculations 73