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Oxana [17]
3 years ago
5

You are considering two home security companies for your new house. The first company offers free installation and equipment, bu

t will charge you $401.00 per year forever. The second company charges $783.00 for installation, but will charge you $204.00 per year forever. Assume that payments are at the END of the year. Your personal interest rate is 5.00% per year, and you want to evaluate each proposal. What is the present value (PV) of the free installation?
Business
1 answer:
Vesnalui [34]3 years ago
5 0

Answer:

The second option is the cheapest.

Explanation:

Giving the following information:

The first company offers free installation and equipment, but will charge you $401.00 per year forever. The second company charges $783.00 for installation, but will charge you $204.00 per year forever. Assume that payments are at the END of the year. Your personal interest rate is 5.00% per year

To calculate the present value, we need to use the formula for a perpetual annuity:

PV= Cf/i

Cf= cash flow

i= interest rate

Option 1:

PV= 401/0.05= $8,020

Option 2:

PV= 204/0.05 + 783/1.05= $4,825.71

The second option is the cheapest.

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Answer:

575,010.25

Explanation:

i = 5%. n = 20 Years. P = 6,500,000.

Annual Maintenance Cost for the first five years, A1 = 25,000.

Annual Maintenance Cost from year 6 thro' 15, A2 = 30,000.

Annual Maintenance Cost from year 16 thro' 20, A3 = 35,000.

Overhaul Costs = 500,000 at year 10.

EUAC = [6,500,000 + 500,000 (P/F, 5%, 10)] (A/P, 5%, 20) +

25,000 +[{5000 (F/A, 5%, 5) + 5000(F/A, 5%, 15)} (A/F, 5%, 20)]

= [6,500,000 + 500,000 (0.6139)] (0.0802) +

25,000 +[{5000 (5.526) + 5000 (21.579)}(0.0302)]

= 545,917.39 + 29,092.86 = 575,010.25

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3 years ago
Which one of these statements related to discounted payback is correct?a) the discounted payback period decreases as teh discoun
Free_Kalibri [48]

Answer:

A) the discounted payback period decreases as the discount rate increases

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The discounted payback period is used to determine the profitability of an investment project.

A not discounted payback period is how long does it take for the cash flows of a project to recoup the investment's cost without considering the value of money in time. By applying a discount to the cash flows, the discounted period will more accurately measure the length of time needed to recoup an investment using current dollars.

The higher the discount rate, the longer it will take for the cash flows to cover the investment's cost, so if the discount rate lowers, then the discounted payback period will be shorter.

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3 years ago
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Aztec Company sells its product for $160 per unit. Its actual and budgeted sales follow.
nadezda [96]

Answer:

a. We have:

June's total cash collections = $605,760

July's total cash collections = $715,580

b. We have:

June's Loan Balance End of Month = $1,324,163

July's Loan Balance End of Month = $2,226,541

Explanation:

a. Prepare a schedule that shows the computation of cash collections of its credit sales (accounts receivable) in each of the months of June and July.

Note: See part a of the attached excel file for the schedule that shows the computation of cash collections for June and July.

In the part a of the attached excel file, we have:

June's total cash collections = $605,760

July's total cash collections = $715,580

b. Prepare a cash budget for June and July, including any loan activity and interest expense. Compute the loan balance at the end of each month.

Note: See part b of the attached excel file for cash budget for June and July.

In the cash budget in the attached excel file, the following calculations is made:

June additional loan = Minimum required cash balance - June Preliminary cash balance = $110,000 - (-$1,169,663) = $110,000 + $1,169,663 = $1,279,663

July additional loan = Minimum required cash balance - July Preliminary cash balance = $110,000 - (-$792,378) = $110,000 + $792,378 = $902,378

From the cash budget, we have:

June's Loan Balance End of Month = $1,324,163

July's Loan Balance End of Month = $2,226,541

Download xlsx
7 0
3 years ago
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