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You are a financial adviser working with a client who wants to retire in eight years. The client has a savings account with a local bank that pays 7% annual interest. The client wants to deposit an amount that will provide her with $1,005,500 when she retires. Currently, she has $302,200 in the account. How much additional money should she deposit now to provide her with $1,005,500 when she retires?

Respuesta :

Answer:

$283,005

Explanation:

The computation of the additional money that she deposited now is shown below:

As we know that

Future value = P × FV (7%, 8 Years)

Here

Future value = $1,005,500,

P represent the deposited amount

and FV (7%, 8 Years) is the future value (FV) of $1 at 7% for 8 years. Its value is to be determined from future value table.

From the table, the value of FV (7%, 8 years) is 1.7182.

Now

$1,005,500 = P × 1.7182

P = $1005500 × 1.7182

P = $585205

Now

The Additional deposit amount is

= $585,205 - $302,200

= $283,005

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