Entertainer's Aid plans five annual colossal concerts, each in a different nation's capital. The concerts will raise funds for a
1 answer:
Answer: $5,569,758.43
Explanation:
First you need to find the present value of the Perpetuity at the end of the fifth year.
Present value of Perpetuity = Amount / Interest rate
= 3,000,000 / 9%
= $33,333,333.33
Given an interest rate of 9%, Entertainer's aid should deposit an amount per year that would lead to the endowment having $33,333,333.33 at the end of the fifth year.
Future value of annuity = Annuity * Future value of annuity interest factor, 9%, 5 years
33,333,333.33 = Annuity * 5.9847
Annuity = 33,333,333.33 / 5.9847
= $5,569,758.43
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Answer:
It will require quarterly deposits of $ 171.06
Explanation:
first we need to calcualte the present value of the retirement funds
and then, we will calcualte the PTM to achieve it.
1) present value of 40,000 semiannually over 10 years descounted at 6% cuarterly
PTM 40,000 dollars
time 20 810 years x 2 payment per year)
rate 0.12 (0.06 x 2)
PV $298,777.75
Now, we calcualte which PTM generate this amount over the course of 20 years
PV $298,777.74
time 80 (20 years x 4 quarter per year)
rate 0.06
C $ 171.063