HP HP12C hp 12c_user's guide_English_E_HDPMBF12E44.pdf - Page 192

Standard Deviation, Factorial

Page 192 highlights

192 Appendix D: Formulas Used r= ⎢⎣⎡∑ xy − ∑ x ⋅∑ n y ⎤ ⎥⎦ ⎡ ⎢∑ ⎢⎣ x2 − (∑ x )2 n ⋅ ⎡ ⎢∑ y 2 ⎢⎣ − (∑ y )2 n Standard Deviation sx = n∑ x 2 − (∑ x )2 n(n − 1) sy = n∑ y 2 − (∑ y )2 n(n − 1) Factorial 0! = 1 For n > 1 where n is an integer: n n!= ∏i i =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 File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 192 of 209 Dimension: 14.8 cm x 21 cm

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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