HP 113394 User Guide - Page 157

ALG Mode, Example 1, Keystrokes, RPN mode, ALG mode, Display

Page 157 highlights

Section 12: Real Estate and Lending 157 ALG Mode: z If fees are stated as a percentage of the mortgage amount (points), recall the mortgage amount (:$); press -; key in the fee (percentage) rate; press b$. z If fees are stated as a flat charge, recall the mortgage amount (:$); press -; key in the fee amount (flat charge); press $. z If fees are stated as a percentage of the mortgage amount plus a flat charge, recall the mortgage amount (:$); press -; key in the fee (percentage) rate, press b-; key in the fee amount (flat charge); press $. 4. Press ¼ to obtain the interest rate per compounding period. 5. RPN: To obtain the annual nominal percentage rate, key in the number of periods per year, then press µ. 5. ALG: To obtain the annual nominal percentage rate, press µ. Key in the number of periods per year, then press ³. Example 1: A borrower is charged 2 points for the issuance of his mortgage. If the mortgage amount is $160,000 for 30 years and the interest rate is 5.5% per year, with monthly payments, what true annual percentage rate is the borrower paying? (One point is equal to 1% of the mortgage amount.) Keystrokes (RPN mode) f] g fCLEARG 30gA 5.5gC 160000$ P :$2b$ ¼ 12§ Keystrokes (ALG mode) f[ g fCLEARG 30gA 5.5gC 160000$ P :$-2b $ ¼ §12³ Display 360.00 Months (into n) 0.46 % monthly interest rate (into i). 160,000.00 Loan amount (into PV). -908.46 Monthly payment (calculated). Actual amount received 156,800.00 by borrower (into PV). 0.47 % monthly interest rate (calculated). 5.68 Annual percentage rate. File name: hp 12c pt_user's guide_English_HDPMF123E27 Page: 157 of 275 Printed Date: 2005/8/1 Dimension: 14.8 cm x 21 cm

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Section 12: Real Estate and Lending
157
File name: hp 12c pt_user's guide_English_HDPMF123E27
Page: 157 of 275
Printed Date: 2005/8/1
Dimension: 14.8 cm x 21 cm
ALG Mode:
If fees are stated as a percentage of the mortgage amount (points),
recall the mortgage amount (
:$
); press
-
; key in the fee
(percentage) rate; press
b$
.
If fees are stated as a flat charge, recall the mortgage amount
(
:$
); press
-
; key in the fee amount (flat charge); press
$
.
If fees are stated as a percentage of the mortgage amount plus a flat
charge, recall the mortgage amount (
:$
); press
-
; key in the
fee (percentage) rate, press
b-
; key in the fee amount (flat
charge); press
$
.
4. Press
¼
to obtain the interest rate per compounding period.
5.
RPN:
To obtain the annual nominal percentage rate, key in the number
of periods per year, then press
µ
.
5.
ALG:
To obtain the annual nominal percentage rate, press
µ
. Key in the
number of periods per year, then press
³
.
Example 1:
A borrower is charged 2 points for the issuance of his mortgage. If
the mortgage amount is $160,000 for 30 years and the interest rate is 5.5% per
year, with monthly payments, what true annual percentage rate is the borrower
paying
?
(One point is equal to 1% of the mortgage amount.)
Keystrokes
(RPN mode)
Keystrokes
(ALG mode)
Display
f]
f[
f
CLEAR
G
f
CLEAR
G
30
gA
30
gA
360.00
Months (into n)
5.5
gC
5.5
gC
0.46
% monthly interest rate
(into i).
160000
$
160000
$
160,000.00
Loan amount (into PV).
P
P
–908.46
Monthly payment
(calculated).
:$
2
b-
$
:$-
2
b
$
156,800.00
Actual amount received
by borrower (into PV).
¼
¼
0.47
% monthly interest rate
(calculated).
12
§
§
12
³
5.68
Annual percentage rate.