Answer
The answer and procedures of the exercise are attached in the following image.
Explanation
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Answer:
Explanation:
Using future annuity formula
Fv = Pmt ( (1+r)ⁿ -1 )/ r
+ 1 = (1+r)ⁿ
In ( + 1) = n In ( 1+r)
n = In ( + 1) / In ( 1 + r)
FV, future value = $10,000, Pmt, periodic payment per year = $1,100, r rate = 11.82% = 0.1182 and n = number of years
n = 0.7297 / 0.11172 = 6.53 years approx 7 years
the last year payment will actually be less than $1,100
Answer:
We can withdraw an equivalent annuity of $ 293.658 each year.
Explanation:
We build a scheduled table to know the future value of the gradient investment
Time Beg Gradient Total Rate Ending
1 $100.00 $100.00 $100.00 0.060 $106.00
2 $106.00 $100.00 $206.00 0.060 $218.36
3 $218.36 $200.00 $418.36 0.060 $443.46
4 $443.46 $300.00 $743.46 0.060 $788.07
5 $788.07 $400.00 $1,188.07 0.060 $1,259.36
6 $1,259.36 $500.00 $1,759.36 0.060 $1,864.92
7 $1,864.92 $600.00 $2,464.92 0.060 $2,612.81
Then, we solve for the equivalent annuity-due:
PV 2,613
time 7
rate 0.06
C $ 293.658
Itis annuity due as we will going to retire cash in a 6 year period for seven times. (at each year-end during 6 years thus, annuity-due
1st 2nd 3rd 4th 5th 6th 7th
/-------/-------/-------/-------/-------/-------/-------/
1 2 3 4 5 6 7