Answer:
c. $155,320
Explanation:
The computation of the project cost is shown below:
= Cash inflow in year 1 × discount factor in year 1 + cash inflow in year 2 × discount factor in year 2
= $80,000 × 0.909 + $100,000 × 0.826
= $72,720 + $82,600
= $155,320
By multiplying the discount factor of each year with the cash inflow of that year, the present value of that year will come.
Answer:
The store manager is 95% confident that the average amount spent by all customers is between $ 31.84 and $ 38.66.
Explanation:
In statistics, a confidence interval is the probability that the parameter of a population lies between two set of values when a random sample of the population is drawn for a specific percentage of times. This means that the confidence interval is formed about the whole population not the sample from which it is calculated.
The probabilities of a confidence interval can take any number, but 95% and 99% confidence level that are usually used.
It should be noted that, for example, 95% confidence level implies that there is a 95% chance that the true mean of the population lies within the calculated confidence interval.
Therefore, the statement which gives a valid interpretation of the interval in the question is the first one which states that "the store manager is 95% confident that the average amount spent by all customers is between $ 31.84 and $ 38.66."
I wish you the best.
Answer: Proposal C
Explanation:
The way to solve this is to calculate the Present Values of all these payments. The smallest present value is the best.
Proposal A.
Periodic payment of $2,000 makes this an annuity.
Present value of Annuity = Annuity * ( 1 - ( 1 + r ) ^ -n)/r
= 2,000 * (1 - (1 + 0.5%)⁻⁶⁰) / 0.5%
= $103,451.12
Proposal B
Present value = Down payment + present value of annuity
= 10,000 + [2,200 * ( 1 - ( 1 + 0.5%)⁻⁴⁸) / 0.5%]
= 10,000 + 93,676.70
= $103,676.70
Proposal C
Present value = Present value of annuity + Present value of future payment
= [500 * (1 - (1 + 0.5%)⁻³⁶) / 0.5%] + [116,000 / (1 + 0.5%)⁶⁰]
= 16,435.51 + 85,999.17
= $102,434.68
<em>Proposal C has the lowest present value and so is best. </em>
