Sharp EL733A EL-733A Operation Manual - Page 57

discounting

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This is what your sketch of the cash-flow schedule should look like: 6'000+ i = 18% APR (+12) 10'000 10'000 6'000+ 6'000+ 10'000 111- year 1 year 2 year 3 The part of any NPV or IRR calculation that takes the most keystrokes is describing the cash-flow schedule to your calculator. An important thing to notice before you start keying in the above cash-flow schedule is that the group at the beginning of the first year (cash-flow group zero) consists of six cash-flows of zero each, while the groups at the beginning of the second and third years have only five cash-flows of zero each. The keystrokes necessary to key in the above cash-flow schedule are as follows: (Mode: FIN) 12ndF) CA 6 RI Ni noo 3 [2nd$ Ni 0 Cash-flow group 0 Cash-flow group 1 Cash-flow group 2 110 3 (2ndFJ Ni 10'000 5 (2nd9 Nij 0 6'000 3 (2ndn Ni 0 3 (2ndFl Ni 10'000 0 5 RI Ni 0 61000 CH 3 NH Ni 0 3 Ni 10'000 Cash-flow group 3 Cash-flow group 4 Cash-flow group 5 Cash-flow group 6 Cash-flow group 7 Cash-flow group 8 Cash-flow group 9 Cash-flow group 10 Cash-flow group 11 Once you have the cash-flow schedule stored in your EL-733A, to calculate the NPV given an interest rate of 18%, simply press: 18 2nd H4 El NPVJ Result: 78'505.16 So, if you want to make an 18% APR return on your investment by buying that contract at the New Year's Eve party, you should pay $78'505.16 Notice that the result of sliding all those positive cash-flows to the beginning of the time-line and discounting them according to the 1.5% periodic rate, is a positive value. Unlike the TVM functions j) and E, the NPVJ function makes no assumptions as to why you are using it to slide cash-flows. (NPVJ does not change the signs of cash-flows as it slides them to the front of the cash-flow schedule. 111

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This
is
what
your
sketch
of
the
cash
-flow
schedule
should
look
like:
i
=
18%
APR
(+12)
10'000
10'000
10'000
6'000
+
6'000
+
6'000
+
111-
year
1
year
2
year
3
The
part
of
any
NPV
or
IRR
calculation
that
takes
the
most
keystrokes
is
describing
the
cash
-flow
schedule
to
your
calculator.
An
important
thing
to
notice
before
you
start
keying
in
the
above
cash
-flow
schedule
is
that
the
group
at
the
beginning
of
the
fi
rst
year
(cash
-flow
group
zero)
consists
of
six
cash
-flows
of
zero
each,
while
the
groups
at
the
beginning
of
the
second
and
third
years
have
only
fi
ve
cash
-flows
of
zero
each.
The
keystrokes
necessary
to
key
in
the
above
cash
-flow
schedule
are
as
follows:
(Mode:
FIN)
12ndF)
CA
6
RI
Ni
noo
3
[2nd$
Ni
0
110
Cash
-flow
group
0
Cash
-flow
group
1
Cash
-flow
group
2
3
(2ndFJ
Ni
10'000
5
(2nd9
Nij
0
6'000
3
(2ndn
Ni
0
3
(2ndFl
Ni
10'000
0
5
RI
Ni
0
6
1
000
3
NH
Ni
0
3
Ni
10'000
CH
Cash
-flow
group
3
Cash
-flow
group
4
Cash
-flow
group
5
Cash
-flow
group
6
Cash
-flow
group
7
Cash
-flow
group
8
Cash
-flow
group
9
Cash
-flow
group
10
Cash
-flow
group
11
Once
you
have
the
cash
-flow
schedule
stored
in
your
EL
-733A,
to
calculate
the
NPV
given
an
interest
rate
of
18%,
simply
press:
18
2nd
H4
El
NPVJ
Result:
78'505.16
So,
if
you
want
to
make
an
18%
APR
return
on
your
investment
by
buying
that
contract
at
the
New
Year's
Eve
party,
you
should
pay
$78'505.16
Notice
that
the
result
of
sliding
all
those
positive
cash
-flows
to
the
beginning
of
the
time
-line
and
discounting
them
according
to
the
1.5%
periodic
rate,
is
a
positive
value.
Unlike
the
TVM
functions
j)
and
E,
the
NPVJ
function
makes
no
assumptions
as
to
why
you
are
using
it
to
slide
cash
-flows.
(NPVJ
does
not
change
the
signs
of
cash
-flows
as
it
slides
them
to
the
front
of
the
cash
-flow
schedule.
111