... solve for one variable in terms of
the other(s).
6
In the process of establishing the above analogy, we first establish the concepts of the first
and second derivatives of an integral (13) about a ... end-point values of y
0
(x)orη(x)). Form the
family of arcs
y
0
(x)+η(x) x
1
≤ x ≤ x
2
(16)
x
1
[
x
2
]
y
0
Figure 9: Families of arcs y
0
+ η
Then for sufficiently small values of say −δ ≤ ... The third part of the problem, the determination of an arc satisfying the
sufficient conditions, is frequently the most difficult of all, and is the part for which fewest
methods of a general character...
... RETURN OF A 50-50
PORTFOLIO OF HIGH TECH AND COLLECTIONS? OF HIGH TECH AND U.S.
RUBBER?
ANSWER: [SHOW S5-45 AND S5-46 HERE.] NOTE THAT THE BETA OF A PORTFOLIO IS
SIMPLY THE WEIGHTED AVERAGE OF ... FOLLOWS:
∑
=
=
n
1i
ii
kPk
ˆ
.
HERE P
i
IS THE PROBABILITY OF OCCURRENCE OF THE iTH STATE, k
i
IS THE
ESTIMATED RATE OF RETURN FOR THAT STATE, AND n IS THE NUMBER OF
STATES. HERE IS THE CALCULATION FOR HIGH ... “YES” JUST THINK OF THE PURCHASE OF A LIFE OR FIRE
INSURANCE POLICY. THE FIRE INSURANCE POLICY HAS A NEGATIVE EXPECTED
RETURN BECAUSE OF COMMISSIONS AND INSURANCE COMPANY PROFITS, BUT
BUSINESSES...