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Ashley deposits $10 000 at the end of each month for 6 times at rate of 5% compounded monthly. How much will be in her account
a. at the end of 6th month?
b. 3 months after her last deposit if rate of interest have remained level?
c. at the end of 6th months if she misses the deposit in 3rd month?
d. at the end of 6th months if she deposit $20 000 at the beginning of 1st month
e. at the end of 6th months if the rate growth to 6% from 4th months
f. Construct the deposit table for each of the above questions

Respuesta :

anthougo

The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:

Deposit Table:

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

What is the future value?

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:

Data and Calculations:

Periodic Deposit = $10,000

Investment period = 6 months

Interest rate = 5% compounded monthly

a) for illustration:

N (# of periods) = 6 months

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $10,000

Results:

FV = $61,774.51

Sum of all periodic payments = $60,000 ($10,000 x 6)

Total Interest = $1,774.51

Other Special Cases:

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 https://brainly.com/question/24703884 and https://brainly.com/question/12979998

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