What is the best revision of sentence 6 to maintain a formal style? moreover, students will benefit from having the most current
2 answers:
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Answer:
i. Discounted cashflow equations.
a. $180,000 at the end of five years.
This is a lump sum present value/ discounted cashflow which can be calculated as;
Formula = 180,000 / ( 1 + r)^n
= 180,000/ ( 1 + 12%)^5
= $102,136.83
b. $11,400 a year forever
This is a perpetuity. The present value/ discounted cashflow of a perpetuity is calculated as;
Formula = Amount/rate
= 11,400/12%
= $95,000
c. $19,000 for each of 10 years.
This is an annuity. The formula for calculating the Present value/ discounted cashflow of an annuity is;
where <em>i </em>is interest rate and <em>n</em> is number of periods
= $107,354.24
d. $6,500 next year and increasing thereafter by 5% a year forever.
This is a growing perpetuity. The present value/ discounted cashflow formula is;
= Amount / ( discount rate - growth rate)
= 6,500 / ( 12% - 5%)
= $92,857.14
ii. Choose <u>$19,000 for each of 10 years</u> as it has the highest present value.
Answer:
$1,381.64
Explanation:
For this question, we determine the Future value. By applying the future value formula that is shown on the spreadsheet. Kindly find it below:
Data provided
Future value = $0
Rate of interest = 14% ÷ 2 = 7%
NPER = 5 years ××2 = 10 years
PMT = $100
The formula is shown below:
= -FV(Rate;NPER;PMT;PV;type)
So, after solving this, the future value is $1,381.64
