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katovenus [111]
3 years ago
11

Tennill Incorporated has a $1,400,000 investment opportunity with the following characteristics: Sales $ 4,480,000 Contribution

margin ratio 40% of sales Fixed expenses $ 1,657,600 The return on investment (ROI) for this year's investment opportunity considered alone is closest to:
Business
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

9.6%

Explanation:

Tennill incorporation has an investment of $1,400,000

Sales is $4,480,000

Fixed expenses is $1,657,600

The first step is to calculate the contribution margin ratio

= 40/100×4,480,000

= 0.4×4,480,000

= 1,792,000

The variable cost can be calculated as follows

=Sales-CM

= 4,480,000-1,792,000

= 2,688,000

Net profit = Sales-Fixed cost-Variable cost

= 4,480,000-(1,657,600+2,688,000)

= 4,480,000-4,345,600

= 134,400

Therefore the ROI can be calculated as follows

= Net profit/investment × 100

= 134,400/1,400,000 × 100

=0.096×100

= 9.6%

Hence the return on investment for this year's investment opportunity considered alone is closest to 9.6%

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Answer:D - system analysis

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At this state, the security activity of the system is tested.

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3 years ago
Arbor Systems and Gencore stocks both have a volatility of 33%. Compute the volatility of a portfolio with 50% invested in each
fiasKO [112]

Answer:

<h3>In case of b, c, d ,e volatility is less than that of original stock</h3>

Explanation:

The formula to compute the volatility of a portfolio

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

Here,

The standard deviation of the first stock is σ₁

The standard deviation of the second stock is σ₂

The weight of the first stock W₁

The weight of the second stock W₂

The correlation between the stock c

a) If the correlation between the stock is +1

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times1} \\\\=0.33

Hence, the volatility of the portfolio is 0.33 0r 33%

b) If the correlation between the stock is 0.50

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.5} \\\\=0.29

Hence, the volatility of the portfolio is 0.29 0r 29%

c) If the correlation between the stock is 0.00

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.0} \\\\=0.23

Hence, the volatility of the portfolio is 0.23 0r 23%

d) If the correlation between the stock is -0.50

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times-0.5} \\\\=0.17

Hence, the volatility of the portfolio is 0.17 or 17%

e) If the correlation between the stock is -1

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times-1} \\\\=0

Hence, the volatility of the portfolio is 0

<h3>In case of b, c, d ,e volatility is less than that of original stock</h3>

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Explanation:

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