Cindy would like to deposit enough money in a savings account to have $10,000 at the end of year 4. Assuming the investment will earn 5% compounded annually, what amount should Cindy deposit in the savings account today

Respuesta :

The amount of savings deposited by Cindy in the current scenario is $8,277.

What is meant by savings?

Savings is the amount which is deposited by the account holders in their bank accounts.

Given values:

Future savings: $10,000

Interest rate: 5%

Number of years: 4

Computation of present amount of savings:

[tex]\rm\ Present \rm\ savings=\frac {\rm\ Future \rm\ savings}{(1+ \rm\ Interest \rm\ rate)^4} \\\rm\ Present \rm\ savings=\frac{\$10,000}{(1+0.05)^4} \\\rm\ Present \rm\ savings=\frac{\$10,000}{0.82770} \\\rm\ Present \rm\ savings=\$8,277[/tex]

Therefore, if the amount of $10,000 at the rate of 5% to be received after four years, then the investment of $8,277 is to done.

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