Seaburst Construction Project You are the project manager for the Seaburst construction project. So far the proj- ect is progres
1 answer:
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Answer: The standard deviation of the stock is 3.23 percentage
Explanation:
First we shall calculate the epected weighted average return of the stock.
We shall multiply the probability of the scenario with its expected return and then take the sum of the expected returns of different scenarios,
E(x) = (0.2 x 14%) + (0.7 x 8%) + (0.1 x 2%)
E(x) = 8.6%
We shall use the follwing formula to calculate the Variance of the stock,
σ²(x) = ∑ P() × [
- E(r)]²
σ²(x) = (0.2) (0.14 - 0.086)² + (0.7) (0.08 - 0.086)² + (0.1) (0.02 - 0.086)²
σ²(x) = 0.001044
To find the standar deviation,
σ(x) =
σ(x) = 0.0323109
in percentage it would be 3.23%
Answer:
The answer is 16 years.
Explanation:
The formula for calculating the value of an investment that is compounded annually is given by:
Where:
is the number of years the investment is compounded,
is the annual interest rate,
is the principal investment.
We know the following:
And we want to clear the value <em>n</em> from the equation.
The problem can be resolved as follows.
<u>First step:</u> divide each member of the equation by :
<u>Second step:</u> apply logarithms to both members of the equation:
<u>Third step:</u> apply the logarithmic property in the second member of the equation:
Fourth step: divide both members of the equation by
We can round up the number and conclude that it will take 16 years for $10,000 invested today in bonds that pay 6% interest compounded annually, to grow to $25,000.