judge drago has decided to set up an educational fund for his favorite granddaughter, emma, who will start college in one year. the judge plans to deposit an amount in a savings account that pays 9% annual interest he wants to deposit an amount that is sufficient to permit emma to withdraw $20,000 for tuition starting in one year and continuing each year for a total of four years. how much should he deposit today to provide emma with a fund to pay for her college tuition? (20 points)

Respuesta :

Judge Drago shall deposit $64,800 today in accordance with the provided statement to give Emma a money to cover her college expenses.

What is a fund, exactly?

A sort of investment known as a fund gathers money from several investors. The funds are then invested in a range of equities and bonds by fund managers. A fraction of the securities in the fund are divided among each investor in the form of units.

Briefing:

The formula for determining the current value (PV) of such an ordinary annuity, which is denoted as follows, should be used as Judge Drago intends Emma to begin collecting $20,000 for tuition commencing in one year.

PV = P × [{1 - [1 ÷ (1+r)]^n} ÷ r] …………………………………. (1)

Where;

PV = Amount to deposit today =?

P = yearly withdrawal = $20,000

r = interest rate = 9%, or 0.09

n = number of years = 4

Equation (1) should be changed to reflect the values as follows:

PV = $20,000 × [{1 - [1 ÷ (1 + 0.09)]^4} ÷ 0.09]

    = $20,000 × 3.24

PV = $64,800

As a result, Judge Drago needs to make a deposit of $64,800 today to just provide Emma money to cover her college expenses.

To know more about Fund visit:

https://brainly.com/question/14705214

#SPJ4

The complete question is-

Judge Drago has decided to set up an educational fund for his favorite granddaughter, Emma, who will start college in one year. The judge plans to deposit an amount in a savings account that pays 7% annual interest. He wants to deposit an amount that is sufficient to permit Emma to withdraw $21,100 for tuition starting in one year and continuing each year for a total of four years. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.)How much should he deposit today to provide Emma with a fund to pay for her college tuition? (Round your answer to nearest whole dollar.)