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Dmitry_Shevchenko [17]
3 years ago
7

Consider two perfectly negatively correlated risky securities A and B. A has an expected rate of return of 10% and a standard de

viation of 16%. B has an expected rate of return of 8% and a standard deviation of 12%. The risk-free portfolio that can be formed with the two securities will earn a(n) _____ rate of return.
Business
1 answer:
Studentka2010 [4]3 years ago
7 0
I’m sorry for making it happen again but it’s not like that
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Given the Production Function Q = 72X + 15X2 - X3, where Q =Output and X=Input
Gnom [1K]

Answer:

A. 120

B. 126

C. x=12

D. x=5

Explanation:

A. Calculation to determine the Marginal Product (MP) when X = 8

Production function=Q=72x+15x^2-x^3

Let x be 8

Marginal Product (MP)=dQ/dx

Marginal Product (MP)=72x+15x^2-x^3

Marginal Product (MP)=72+30x-3x^2

Now let plug in X = 8

Marginal Product (MP)=72+30(8)-3(8)^2

Marginal Product (MP)=72+240-192

Marginal Product (MP)=120

Therefore the Marginal Product (MP) when X = 8 will be 120

B. Calculation to determine the Average Product (AP) when X = 6

Average Product (AP)=Q/X

Average Product (AP)=72+15x-x^2

Let plug in x=6

Average Product (AP)=72+15(6)-(6)^2

Average Product (AP)=72+90-36

Average Product (AP)=126

Therefore the Average Product (AP) when X = 6 is 126

C. Calculation to determine at what value of X will Q be at its maximum

Maximizing Q=dQ/dx=0

Maximizing Q=72+30x-3x^2=0

Maximizing Q=3x^2-30x-72=0

Maximizing Q=x^2-10x-24=0

Maximizing Q=x^2-12x+2x-24=0

Maximizing Q=x(x-12)+2(x-12)=0

Hence:

x=12 or (x=-2)

Therefore at what value of X will Q be at its maximum will be at x=12

D. Calculation to determine At what value of X will Diminishing Returns set in

Diminishing returns=dMP/dx=d²Q/dx²

Diminishing returns=30-6x<0

Hence:

x=30/6<0

x=5<0

Therefore at what value of X will Diminishing Returns set in will be at x= 5 or when MP is at a MAXIMUM VALUE.

4 0
3 years ago
At the conclusion of a tort trial the jury finds the plaintiff about 30% responsible for the damages she suffered and the defend
KonstantinChe [14]

Answer:

The answer is: $70,000

Explanation:

70% of the total damages equals $70,000 (70% x $100,000)

Comparative negligence refers to a legal defense used by the defendant to reduce the amount of damages that a plaintiff can recover. This is based on what percentage of the plaintiff's damages could be attributed to the plaintiff's own negligence.

6 0
3 years ago
Linda's Luxury Travel (LLT) is considering the purchase of two Hummer limousines. Various information about the proposed investm
sammy [17]

Answer:

1) Accounting rate of return is 8.2%

2) Payback period is 5.95 years

3) Net present value (NPV) is ($88,643.26)

4) Option B

Explanation:

Initial Investment = $720,000 , Useful life = 10 years , Salvage Value = $100,000

Annual Net Income generated = $59,040 , Cost of capital = 14%

Depreciation = ($720,000 - $100,000) ÷ 10 = $62,000

Annual Cash flows = $59,040 + $62,000 = $121,040

1) Accounting rate of return = (Annual Net Income ÷ Average Investment) × 100

= (59,040 ÷ 720,000) × 100

= 8.2%

2. Payback Period = Initial Investment ÷ Annual Cashflows

= 720,000 ÷ 121,040

= 5.95 years.  

3. PV of cash flows = 121,040 × PVAF(14% for 10 years)

= 121,040 × 5.2161

= $631,356.74

Less: PV of cash outflow = $720,000

Net present value (NPV) = (88,643.26)

4. If IRR = Discount rate, then NPV = 0

If IRR < Discount Rate, Then NPV is negative

If IRR > Discount Rate, Then NPV is positive

Here NPV is negative, so IRR is less than discount rate i.e.14%

5 0
4 years ago
Justin gave a speech explaining why the tax code should be changed. He quoted economists who argue the capital gains tax is oppr
Lubov Fominskaja [6]

Answer:

Inartistic proofs.

Explanation:

3 0
4 years ago
A machine with a cost of $61,800 has an estimated residual value of $4,986 and an estimated life of 5 years or 18,970 hours. Wha
Leto [7]

Answer:

$14,832

Explanation:

Depreciation charge = 2 x SLDP x BVSLDP

where,

SLDP = 100 ÷ useful life = 20 %

and

BVSLDP = Cost or Net Book Value

therefore,

1st year

Depreciation charge = 2 x 20 % x $61,800 = $24,720

2nd year

Depreciation charge =  2 x 20 % x ($61,800 - $24,720) = $14,832

conclusion

the amount of depreciation for the second full year is  $14,832

8 0
3 years ago
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