Answer:
portfolio's standard deviation = 6.18%
Explanation:
we must first determine the expected returns for each stock:
stock A = (0.15 x 31%) + (0.6 x 16%) + (0.2 x -3%) + (0.05 x -11%) = 13.1%
stock B = (0.15 x 41%) + (0.6 x 12%) + (0.2 x -6%) + (0.05 x -16%) = 11.35%
stock C = (0.15 x 21%) + (0.6 x 10%) + (0.2 x -4%) + (0.05 x -8%) = 7.95%
then we must determine the variance of each stock's return:
stock A = {[0.15 x (31 - 13.1)²] + [0.6 x (16 - 13.1)²] + [0.2 x (-3- 13.1)²] + [0.05 x (-11 - 13.1)²]} / 4 = (48.0615 + 5.046 + 51.842 + 29.0405) / 4 = 33.4975
stock B = {[0.15 x (41 - 11.35)²] + [0.6 x (12 - 11.35)²] + [0.2 x (-6- 11.35)²] + [0.05 x (-16 - 11.35)²]} / 4 = (131.868375 + 0.2535 + 60.2045 + 37.401125) / 4 = 57.4219
stock C = {[0.15 x (21 - 7.95)²] + [0.6 x (10 - 7.95)²] + [0.2 x (-4- 7.95)²] + [0.05 x (-8 - 7.95)²]} / 4 = (25.545375 + 2.5215 + 28.5605 + 12.720125) / 4 = 17.3369
portfolio's variance = (0.3 x 33.4975) + (0.4 x 57.4219) + (0.3 x 17.3369) = 38.21908
portfolio's standard deviation = √38.21908 = 6.18%
Answer:
(a). For every additional square foot of area of a house, the price is predicted to increase by $61
(b) The asking price is $145410 and the residual is a negative $4100
Explanation:
As per the data given in the question,
a) From regression equation Slope = 0.061
So slope = (0.061 × 1,000) ÷ 1 sq. ft.
= $61 per sq. ft.
For every additional square foot area price is increased by $61
b) If size of the house is = 1600 square foot then
Price = 47.81 + 1600*0.061
=$145,410
The asked price is $4,100 less than estimated price and residual is not positive
Hence,
Asking price = $145,410
Residual price = a negative $4,100
Answer:
D. What are you going to do for me today?
Explanation:
The leader should be first a servant, having a desire to serve than to be served. This makes a leader has authority and not just power by having interactions with ones he leads. He is not just interested in building himself but contributing to growth and development of the people around him.
Therefore asking what one will do for you is not a Servant Leader characteristic because it puts the leader first before the people.
Answer:
each firm simultaneously increased output above the Nash equilibrium level.
Explanation:
A French mathematician, Antoine Augustine Cournot developed the Cournot duopoly in his economic model “Researches into the mathematical principles of the theory of wealth”, of 1838.
Cournot duopoly also known as the Cournot competition, is an economic model where two (2) business firms having identical cost functions compete in a oligopolistic market of imperfect competition with homogeneous products.
Under the Cournot duopoly, the competing firms offer identical products and thus, choose an amount or quantity to produce independently and at the same time because they cannot collude.
Both firms in a Cournot duopoly would enjoy lower profits if each firm simultaneously increased output above the Nash equilibrium level.
Hence, the advantage of the Cournot duopoly is that, it inhibits competing firms from deviating unilaterally.
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