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Alex787 [66]
3 years ago
8

There are three economy situations and two stocks Information is as follows Economy Stock A Stock B Booming 0.3 10 20 Neutral 0.

3 5 0 Recession 0.4 0 10 a What are the expected returns for both stock A and B respectively b What is the standard deviation risk for stock A c What is the portfolio return given that you have $10000 and allocate $4000 in stock A
Business
1 answer:
Bumek [7]3 years ago
6 0

Answer:

a) A = 4.50% and B = 2.00%

b) SD for A = 4.15 %

c) Portfolio Return = 3.0%

Explanation:

a) Expected Returns for Both A and B respectively:

In order to calculate the expected returns, let's categorize the given data first.

Economy        Probability      Stock A       Stock B

Booming            0.30               10%               20%

Neutral               0.30                5%                 0%

Recession          0.40                 0%                -10% (not 10%)

So,

Expected Return for Stock A:

A =   Sum of (all Probability x Stock A)

A = (0.30 x 0.10) + (0.30 x 0.05) + (0.40 x 0.00)

A = 0.045

<u><em>A = 4.50 % </em></u>

Return for Stock B:

B = Sum of all Probability x Stock B

B = (0.30 x 0.20) + (0.30 x 0.00) + (0.40 x -0.10)

B = 0.002

<u>B = 2.0%</u>  

<em>b) Standard Deviation /Risk for Stock A:</em>

SD for A = Sum (Square Root (Probability*(Stock A Return - Expected Return of Stock A)²) )

SD for A = \sqrt{0.30*(0.10-0.045)^2 + 0.30*(0.05-0.045)^2+0.40*(0.00-0.045)^2}

SD for A = 0.0415

<u><em>SD for A = 4.15%</em></u>

c) Portfolio Return Given that:

                                        Value          Weight         Return

Stock A                          4000              0.4               4.50%

Stock B                          6000             0.6                 2.0%

                                      10000

Portfolio Return =  Sum of ( Weight x Return)

                          = (0.4 x 0.045) + (0.6 x 0.02)

                          = 0.03

<em><u>Portfolio Return = 3%</u></em>

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4 0
3 years ago
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Serhud [2]

Answer:

$12,053.86

Explanation:

The easiest way to calculate this is using an excel spreadsheet and the future value function. Using the FV function =FV(rate,nper,pmt)

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  • pmt = 175

This function will give us the future value of the annuity =FV(0.25%,36,175) = $6,583.60

Now we must add the future value of the original $5,000:

future value = $5,000 x (1 + 0.0025)³⁶ = $5,470.26

total future value = $6,583.60 + $5,470.26 = $12,053.86

if you do not want to use an excel spreadsheet, you can use the following formula:

F = P x ([1 + r]ⁿ - 1 )/r

F = 175 x [(1 + 0.0025)³⁶ - 1] / 0.0025 = $6,583.60

the answer will be the same

3 0
3 years ago
This is a sum of numbers that accumulates with each iteration of a loop. A. Running total B. Final total C. Grand finale D. Gall
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The accumulated total can be expressed as a numerical value or a percentage. In Reporter reports, you can calculate a cumulative total for more than one category.

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7 0
2 years ago
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 30%. The T-bill rate is 6%. Your
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Answer:

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Expected Return, E(R) = 13.80%

Standard deviation of portfolio is mathematically represented as:

\sigma =\sqrt{w_1^2\sigma _1^2+w_2^2\sigma _2^2+2w_1w_2p_{1,2}\sigma_1\sigma_2}

where

w1 = the proportion of the portfolio invested in Asset 1

w2 = the proportion of the portfolio invested in Asset 2

σ1 = Asset 1 standard deviation of return

σ2 = Asset 2 standard deviation of return

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\sigma  =\sqrt{ (0.65 * 0.30)^2 + (0.35 * 0)^2 + (2 * 0.65 * 0.30*0.35 *0*0)} \\\\= \sqrt{0.038025 +0+0} \\\\ = 0.195

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7 0
3 years ago
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