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wariber [46]
3 years ago
12

In its first 10 years a mutual fund produced an average annual return of 20.4420.44​%. Assume that money invested in this fund c

ontinues to earn 20.4420.44​% compounded annually. How long will it take money invested in this fund to​ double?
Business
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

3.73 years or 4 years approx

Explanation:

The computation of the number of years taken for money invested for double is shown below:

As we know that

Amount = Principal × (1 + interest rate ÷ time period)^interest rate × time period

where,

We assume the principal be P

And, the amount is 2P

And, the other values would remain the same

So,

2P = P (1 + 0.2044 ÷ time period)^ 1  × time period

2 = (1.2044)^ time period

Now take the log both sides

ln2 = ln (1.2044)^time period

ln2 - time period ln (1.2044)

So,

time period = ln(2) ÷ ln (1.2044)

= 3.73 years or 4 years approx

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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
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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

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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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IrinaVladis [17]

Answer:

(B) 40%

Explanation:

↓Q / ΔPrice = Price-elasicity

The price elasticity is the relationship between a change in price with the quantity demanded of a certain good assuming, other factor remains constant.

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