Section 12: Real Estate and Lending 171
File name: HP 12c Pt Converted_user's guide_English_HDP0F123E02_080207 Page: 170 of 281
Printed Date: { 2007/8/2Dimension: 14.8 cm x 21 cm
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(ALG mode)
Display
t
t
8.57
Yield.
t
t
46,048.61
Balance in savings.
By purchasing a house, you would gain $7,047.04 (53,095.65 – 46,048.61)
over an alternate investment at 3% interest.
Deferred Annuities
Sometimes transactions are established where payments do not begin for a
specified number of periods; the payments are deferred. The technique for
calculating NPV may be applied assuming zero for the first cash flow. Refer to
pages 73 through 77.
Example 1:
You have just inherited $20,000 and wish to put some of it aside for
your daughter’s college education. You estimate that when she is of college age, 9
years from now, she will need $7,000 at the beginning of each year for 4 years
for college tuition and expenses. You wish to establish a fund which earns 6%
annually. How much do you need to deposit in the fund today to meet your
daughter’s educational expenses
?
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f]
f[
f
CLEAR
H
f
CLEAR
H
0.00
Initialize.
0
gJ
0
gJ
0.00
First cash flow.
0
gK
8
ga
0
gK
8
ga
0.00
8.00
Second through ninth
cash flows.
7000
gK
4
ga
7000
gK
4
ga
7,000.00
4.00
Tenth through thirteenth
cash flows.
6
¼
6
¼
6.00
Interest.
fl
fl
15,218.35
NPV.
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