Microsoft PowerPoint - PoF.ppt

(lu) #1
Computing returnsƒ 21

Multi-period simple returns
ƒ

Multi-period log returns

()


− =


+


+− −

− −



+ = + + + =

=

=

=

=

+

1 0

1

1

1

1 2

1

)

(^1) (
)
1
)...(
1
)(
(^1) (
...
1
h j
j t h t t t
h
ht t
t t
t t
h
t t
t
r
r
r
r
P P
P P
P P
P P
h
r ()



− =


+


− + − − − −


=

+

+

+

=

= − + + − + − =

=


=

1 0

1

1

1

2

1

1
...

)

ln

(ln

...
)

ln

(ln
)

ln

(ln

ln

ln

h j

j t h t t t

h t h t t t t t

h
t

t

t

y

y

y

y

P P P P P P

P

P

h
y

Single-period random cash flows: Stocks

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