If I will receive a payment of $121 two years from now and the annual interest rate is 10 percent, the present value of the paym
ent is:
1 answer:
Answer:
$100
Explanation:
The present value of a cash flow can be found by discounting the cash flow at the annual interest rate.
The formula for finding present value can be found in the attached image.
The present value can be calculated using a financial calculator.
Cash flow in year one = 0
Cash flow in year two = $121
Discount rate = 10%
Present value = $100
I hope my answer helps you
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The complete question is as follows:
The admission directory of Big City University has a novel idea. He proposed using the IQ scores of current students as a marketing tool. The university agrees to provide him with enough money to administer IQ tests to 50 students. So the director gives the IQ test to an SRS of 50 of the university’s 5000 freshman. The mean IQ score for the sample is xbar=112. The IQ test he administered is known to have a σ of 15. What is the 95% Confidence Interval about the mean? What can the director say about the mean score of the population of all 5000 freshman?
Answer: The 95% confidence interval about the mean is .
The director can say that he is 95% confident that the mean IQ score of the 5000 freshmen lies between 107.84 and 116.16.
We follow these steps to arrive at the answer:
Since the population standard deviation of the IQ test is known, we can use the Z scores to find the confidence interval.
The formula for the confidence interval about the mean is:
In the equation above, X bar is known as the point estimate and the second term is known as Margin of Error.
The Critical Value of Z at the 95% confidence level is 1.96.
Substituting the values in the question in the equation above we have,