Answer:
A
Explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
Security A : 11 = 1( 1 + r)^15
11^(1/15) = 1( 1 + r)
1.173 = 1 + r
r = 1.173 - 1
r = 17.33%
Security A : 16 = 1( 1 + r)^15
16^(1/15) = 1( 1 + r)
1.20 = 1 + r
r = 1.2 - 1
r = 0.2
r = 20%
Security B earned a higher average annual rate of return as 20% is greater than 17.33%
Answer:
C. Growth
Explanation:
Starting investment early is something that is always encouraged and that is the case of John Hernadez here. By starting early, before he retires, he'd have been able to grow is investment portfolio substantially and even be a millionaire by the time of his retirement. Growth is the most important factor for John, that's why is he's starting his investment early. With the time given for growth, investment value may increase in value and it allows time for appreciation of stock price.
Annual Compound Formula is:
A = P( 1 + r/n) ^nt
Where:
A is the future value of the investment
P is the principal investment
r is the annual interest rate
<span>n is the number of
interest compounded per year</span>
t is the number of years the money is invested
So for the given problem:
P = $10,000
r = 0.0396
n = 2 since it is semi-annual
t = 2 years
Solution:
A = P( 1 + r/n) ^nt
A = $10,000 ( 1 + 0.0396/2) ^ (2)(2)
A = $10000 (1.00815834432633616)
A = $10,815.83 is the amount after two years
The forces underlying supply and demand interact to determine the market price.
<h3><u>
Explanation:</u></h3>
The persons involving in the activities of trading comprises the market system. It includes sellers, buyers and others involved in trading process. They also includes the buyers, consumers, producers who are the major players of the market system who determines the economic activity in it.
The supply and demand law is the major determinant of the production of goods and services in a market economy. The natural resources, land, capital and labor are the supplies. The purchasing power of the government, consumers and business are the demands. The forces underlying supply and demand interact to determine the market price.
Answer:
And we can find this probability using the normal standard distribution table or excel and we got:
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the expected return, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution table or excel and we got: