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3. Future value of Annuity example ( Enter your problem )
  1. Find Future value (FV) Example
  2. Find Regular Deposit (C) Example
  3. Find Interest Rate (i) Example
  4. Find Time (n) Example

2. Find Regular Deposit (C) Example





1. Find Regular Deposit
(PMT Amount) C = ?
Interest Rate i = 10%, Time n = 5 Year, Future value FV = 6105.1,
Deposit Frequency = at the end (Ordinary Annuity) of every Year (1/year)
for Future value of Annuity method


Solution:
`i=10%=0.1` per year (Interest rate)

`n=5` years (Number of periods)

`FV=6105.1` (Future value)

Now, Future value (Ordinary Annuity) formula is
`FV_("Ordinary Annuity")=C*[((1+i)^n-1)/(i)]`

`:.6105.1=C*[((1+0.1)^5-1)/(0.1)]`

`:.6105.1=C*[((1.1)^5-1)/(0.1)]`

`:.6105.1=C*[(1.6105-1)/(0.1)]`

`:.6105.1=C*[6.11]`

`:.C=6105.1/(6.11)`

`:.C=1000`
2. Find Regular Deposit
(PMT Amount) C = ?
Interest Rate i = 10%, Time n = 3 Year, Future value FV = 16550,
Deposit Frequency = at the end (Ordinary Annuity) of every Year (1/year)
for Future value of Annuity method


Solution:
`i=10%=0.1` per year (Interest rate)

`n=3` years (Number of periods)

`FV=16550` (Future value)

Now, Future value (Ordinary Annuity) formula is
`FV_("Ordinary Annuity")=C*[((1+i)^n-1)/(i)]`

`:.16550=C*[((1+0.1)^3-1)/(0.1)]`

`:.16550=C*[((1.1)^3-1)/(0.1)]`

`:.16550=C*[(1.331-1)/(0.1)]`

`:.16550=C*[3.31]`

`:.C=16550/(3.31)`

`:.C=5000`




This material is intended as a summary. Use your textbook for detail explanation.
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