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kow [346]
3 years ago
7

Stock X has a standard deviation of return of 10%. Stock Y has a standard deviation of return of 20%. The correlation coefficien

t between stocks is 0.5. If you invest 60% of the funds in stock X and 40% in stock Y, what is the standard deviation of the portfolio?A. 10%B. 20%C. 1.48%D. 12.20%
Business
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

D. 12.20%

Explanation:

Stock X Weight = 0.60

Stock Y Weight = 0.40

sdX = 10%

sdY = 20%

Portfolio Variance = w2X*sd2(X) + w2X*sd2(Y) + 2*(wX)*(wY)*Cov(X, Y)

Where: wX and wY are portfolio weights, sd2(X) and sd2(Y) are variances and

Cov(X, Y) is the covariance

Correlation = 0.5

Cov(X, Y) = Correlation * sd(X) * sd(Y)

= 0.50 * 0.10 * 0.20

= 0.01

Portfolio Variance = 0.60^2 * 0.10^2 + 0.40^2 * 0.20^2 + 2 * 0.60 * 0.40 * 0.01

Portfolio Variance = 0.0036 + 0.0064 + 0.0048

Portfolio Variance = 0.0148

sd(P) = √Variance = 0.121655 = 12.20%

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Neutrino Industries stock trades at $49 per share and there are 120 million shares outstanding. The management would like to rai
Gelneren [198K]

Answer:

Neutrino Industries must sell <u>8.68 million shares</u> to raise $400 million.

Explanation:

To calculate this, let B represents the number of shares Neutrino Industries must sell. Therefore, we have:

Gross proceeds = $49 * B, or $49B

Underwriter charges = 6% * $49B = $2.94B

To raise $400 million, we deduct the underwriter charges from gross proceeds and solve for B as follows:

$49B – $2.94B = $400,000,000

$46.06B = 400,000,000

B = 400,000,000 / 46.06

B = 8,684,324.79 shares, or 8.68 million shares.

Therefore, Neutrino Industries must sell <u>8.68 million shares</u> to raise $400 million.

4 0
3 years ago
Suppose Hyperpolis’s GDP increases by 15% and its inflation rate is 12%, while Superpolis’s GDP increases by 6% and its inflatio
strojnjashka [21]

Answer: c) Both economies grew at the same rate

Explanation:

The faster growing economy would be the one that saw a greater increase in Real GDP than the other.

Real GDP growth = Nominal GDP growth - Inflation growth.

Hyperpolis Real GDP growth = 15% - 12%

Hyperpolis Real GDP growth = 3%

Superpolis Real GDP growth = 6% - 3%

Superpolis Real GDP growth = 3%

<em>Both countries grew at the same rate of 3%. </em>

7 0
3 years ago
A taxpayer understated the tax liability by $10,000. The total tax liability was $50,000. No disclosure of the return position w
posledela

Answer:

2,000

Explanation:

To calculate how much of an accuracy related penalty the tax payer will be assessed, we use the following method.

3 0
3 years ago
At the beginning of Year 1, Trey Inc., purchased a machine with a total acquisition cost of $33,000. The machine has an estimate
soldier1979 [14.2K]

Answer:

$8,000

Explanation:

Data provided in the question:

cost of machine = $33,000

Estimated residual value = $3,000

Estimated useful life = 3 years

Estimated useful life in terms of production = 60,000 units

Total units produced in year 1 = 16,000

Now,

Rate of annual depreciation with respect to units produced

= [ Cost - Salvage value ] ÷ Estimated useful life in terms of production

= [ $33,000 - $3,000 ] ÷ 60,000

= $0.5 per unit

Therefore,

Depreciation expense for the year 1

= Rate of annual depreciation × Total units produced in year 1

= $0.5 per unit × 16,000 units.

= $8,000

7 0
2 years ago
QS 11-9 Recording warranty repairs LO P4 On September 11, 2016, Home Store sells a mower for $490 cash with a one-year warranty
prisoha [69]

Answer:

<em>On September 11, 2016, Home Store sells a mower for $490 cash with a one-year warranty that covers parts</em>

<u>Recording of revenue:</u>

Cash $490 (debit)

Revenue $490 (credit)

<u>Recording of Warranty granted :</u>

Assurance Warranty expense $49.00 (debit)

Warranty Provision $49.00  (credit)

$490 × 10% = $49.00

<em>On July 24, 2017, the mower is brought in for repairs covered under the warranty requiring $34 in materials taken from the Repair Parts Inventory</em>

<u>When warranty is subsequently received:</u>

Warranty Provision $ 34 (debit)

Repair Parts Inventory $ 34 (credit)

Explanation:

<em>On September 11, 2016, Home Store sells a mower for $490 cash with a one-year warranty that covers parts</em>

<u>Recording of revenue:</u>

Cash $490 (debit)

Revenue $490 (credit)

<em>We Recognise Revenue to depict transfer of control of mower</em>

<u>Recording of Warranty granted :</u>

Assurance Warranty expense $49.00 (debit)

Warranty Provision $49.00  (credit)

$490 × 10% = $49.00

<em>There is no option for customer to take the warranty or not, so this is a service warranty.The warranty is measured at the best estimate of expenditure required to settle the obligation that is at 10% of sales.</em>

<em>On July 24, 2017, the mower is brought in for repairs covered under the warranty requiring $34 in materials taken from the Repair Parts Inventory</em>

<u>When warranty is subsequently received:</u>

Warranty Provision $ 34 (debit)

Repair Parts Inventory $ 34 (credit)

<em>Utilise the Warranty Provision when the warranty claim is subsequently received</em>

<em></em>

7 0
3 years ago
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