Solution :
It is given that :
Amount of investment or the principle amount , P = $ 100
Time of investment , t = 6 years
Rate of interest compounded annually r = 6 %
Therefore the future amount of this investment in a 6 year time is given by,
Therefore, after 6 years the investment of $ 100 will give an amount of $ 141.
Answer:
The correct answer here is B) Transformational leader.
Explanation:
Transformational leadership style is a type of leadership, where a leader would work with its team so that a leader can identify changes that are needed, leader would create a vision to guide change through the inspiration and executes that change in tandem with committed team members. Transformational leader also helps in enhancing the motivation, job performance and morale of its team and followers through various mechanism like being a role model to others, connecting with teams sense of identity.
Answer:
Amount invested at 5.75% = $30,000
Amount invested at 7.25% = $14,000
Explanation:
Let the amount invested
at 5.75% = X
at 7.25% = Y
According to given condition
X + Y = $44,000 ( Eq 1)
and
0.0575X + 0.0725Y = $2,740 ( Eq 2)
By multiplying ( Eq 1) with 0.0575
0.0575X + 0.0575Y = $2,530 ( Eq 3)
By subtracting ( Eq 3) from ( Eq 2)
0.0725Y - 0.0575Y = $2,740 - $2,530
0.015Y = 210
Y = 210 / 0.015
Y = $14,000
X + $14,000 = $44,000
X = $44,000 - $14,000
X = $30,000
Check:
$30,000 x 5.75% + $14,000 x 7.25% = $2,740
$2,740 = $2,740
Answer:
The expected return on security with a beta of 0.8 is closest to 7.2%.
Explanation:
This can be determined as follows:
Since the return of security Z remains at 4% despite the change in the market, security Z is the risk-free asset.
Note that a risk free asset is an asset which its returns does not change with change in the market.
Using the Capital Asset Pricing Model (CAPM) formula, we have:
Er = Rf + (B * MPR) ............................................ (1)
Where;
ER = Expected return = ?
Rf = Risk-free rate = Rate of return of security z = 4%
B = Beta = 0.8
MPR = Market risk premium = Expected return on the market rate - Risk-free rate
Expected return on the market rate = (50% * 24%) + (50% *(-8%)) = 8%
Therefore, we have:
MPR = 8% - 4% = 4%
Substituting the values into equation (1), we have
Er = 4% + (0.8 * 4%)
Er = 0.072, or 7.2%
Therefore, the expected return on security with a beta of 0.8 is closest to 7.2%.
The answer is: D. Direct Subsidized Loan
The main characteristic of a Direct Subsidized Loan is that the loan interest is set at a fixed rate by the government and would not be accrued. This means that even if the student in financial needs somehow late in making payments, the amount of his/her total loan would not be increased.
