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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:
option B
Explanation:
In other to know how return fluctuation can be predicted with for instance, x%, predictability, one has to look at the normal distribution curve of return (average returns) to standard deviation of those returns. (check the attached file for additional details).
Hence, to be 95% sure that investment losses are less than 8% one needs to look at 95% of all returns which infact Mean return plos or minus 20. If the lower bound of this interval is less than 8% then the investment needs to be selected
check attached file for additional details
