The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:
<h3>Deposit Table:</h3>
Item Initial Periodic Deposit Interest Future Value Interest
Deposit Deposit Period Rate ($)
a. $10,000 $10,000 6 months 5% $61,774.51 $1,774.51
b. $10,000 $10,000 3 months 5% $30,502.78 $502.78
c. $10,000 $10,000 6 months 5% $51,774.51 $1,522.42
d. $20,000 $10,000 6 months 5% $72,201.71 $2,201.71
e. $10,000 $10,000 6 months 5%/6% $60,803.78 $803.78
<h3>What is the future value?</h3>
The future value of a periodic investment represents the present value of cash flows compounded at an interest rate into the future.
The future value is computed using the FV formula or factor.
It can also be computed using an online finance calculator as follows:
<h3>Data and Calculations:</h3>
Periodic Deposit = $10,000
Investment period = 6 months
Interest rate = 5% compounded monthly
<h3>a) for illustration:</h3>
N (# of periods) = 6 months
I/Y (Interest per year) = 5%
PV (Present Value) = $0
PMT (Periodic Payment) = $10,000
<u>Results</u>:
FV = $61,774.51
Sum of all periodic payments = $60,000 ($10,000 x 6)
Total Interest = $1,774.51
<h3>Other Special Cases:</h3>
c) Interest on $10,000 for 3 months is $1,522.42 ($1,774.51 - $252.09).
d) Future Value Interest
5% with $20,000 $82,285.04 $2,285.04
5% with $10,000 (10,083.33) (83.33)
Total for 6 months $72,201.71 $2,201.71
e) Future Value Interest
5% for 3 months $30,502.78 $502.78
6% for 3 months $30,301.00 $301.00
Total for 6 months $60,803.78 $803.78
Learn more about the computation of future values at brainly.com/question/24703884 and brainly.com/question/12979998
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![\sqrt[4]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%7D)
(fourth root of 2)