Flyer Company has provided the following information for 2019: 1) The allowance for doubtful accounts balance at the beginning o
2 answers:
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Solution :
Given :
James needs $ 1,000,000 after 15 years.
His IRA deposit is $ 200,000 and is earning at the rate of 8% per annum.
Maturity value of $200,000 after 15 years =
= $ 634,434.
Balance fund needed after 15 years = 1,000,000 - 634,434
= $ 365,566
Therefore, the future value of the annuity is :
Here, FV = future annuity value = 365,566
A = periodical investment
k = interest rate = 8%
n = period = 15 years
∴
A = 13,464
Thus, James needs to save $ 13,464 each year end to reach his target.
Answer: $80 million per year for 25 years
Explanation:
The option you should choose is one that will guarantee you the highest present value.
This means that you need to discount the annual payment of $80 million per year for 25 years to find the present value. As you did not include a rate, we shall assume a rate of 8% for reference purposes.
The annual payment is an annuity so the present value can be calculated by:
Present value of annuity = Annuity payment * Present value interest factor, rate, no. of years
= 80,000,000 * Present value interest factor, 8%, 25 years
= 80,000,000 * 10.6748
= $853,984,000
<em>The present value of the annual payment is more than the present value of the $850 million received today so the Annual payment should be taken. </em>
