beautypg.com

HP 12C Financial calculator User Manual

Page 192

background image

192 Appendix D: Formulas Used

File name: hp 12c_user's guide_English_HDPMBF12E44

Page: 192 of 209

Printered Date: 2005/7/29

Dimension: 14.8 cm x 21 cm

(

)

( )

⎥⎦

⎢⎣

=

n

y

y

n

x

x

n

y

x

xy

r

2

2

2

2

Standard Deviation

(

)

)

1

(

2

2

=

n

n

x

x

n

s

x

( )

)

1

(

2

2

=

n

n

y

y

n

s

y

Factorial

0! = 1
For n > 1 where n is an integer:

=

=

n

i

i

n

1

!

The Rent or Buy Decision

Market Value = PRICE(1 + I)

n

where:

I

= appreciation per year (as decimal)

n

= number of years

Net Cash Proceeds on Resale = Market Value – Mortgage Balance – Commission

The interest rate is obtained by solving the financial (compound interest) equation
for i using:

n

= number of years house is owned

PV

= down payment + closing costs

PMT

= mortgage payment + taxes + maintenance

– rent – (% tax)

(interest + taxes)

FV

= net cash proceeds on resale

Annual interest rate = 12 × i