Question

In: Finance

Compounding. Suppose your Aunt set aside $50,000 for you 5 years ago and her account earned...

  1. Compounding. Suppose your Aunt set aside $50,000 for you 5 years ago and her account earned 8% interest over that time.
    1. What is the balance in that account today?
    2. How much of that total is compound interest?

Solutions

Expert Solution

We use the formula:  
A=P(1+r/100)^n
where   
A=future value
P=present value  
r=rate of interest
n=time period.

a.A=50,000*(1.08)^5

=50,000*1.46932808

=$73466.40(Approx)=account balance today

b.Compound interest=A-P

=73466.40-50,000

=$23466.40(Approx)


Related Solutions

In her will, your aunt set up a trust that is required to pay you the...
In her will, your aunt set up a trust that is required to pay you the sum of $5,000 a year forever with payments starting immediately. However, the news is better. She has specified that this $5,000 should grow at 5% per year. Given an interest rate of 12%, what is the PV of the inheritance? Please include formulas used. Thanks
Marvin would like to have $50,000 set aside 15 years from now. Assuming a 5% return,...
Marvin would like to have $50,000 set aside 15 years from now. Assuming a 5% return, how much does Marvin need to put away on a monthly basis to ensure a future goal of $50,000? Assume those monthly payments are made at the beginning of the month. You must show your work!
Your eccentric Aunt Claudia has left you $50,000 in BP shares plus $50,000 cash. Unfortunately her...
Your eccentric Aunt Claudia has left you $50,000 in BP shares plus $50,000 cash. Unfortunately her will requires that the BP stock not be sold for one year and the $50,000 cash must be entirely invested in one of the stocks shown below. The table provides estimates of the standard deviations of returns for each stock and the correlation between the returns of each pair of stocks. BHP BP Fiat Chrysler Heineken Korea Electric Nestlé Sony Tata Motors BHP 1.00...
Your eccentric Aunt Claudia has left you $50,000 in BP shares plus $50,000 cash. Unfortunately her...
Your eccentric Aunt Claudia has left you $50,000 in BP shares plus $50,000 cash. Unfortunately her will requires that the BP stock not be sold for one year and the $50,000 cash must be entirely invested in one of the stocks shown below. The table provides estimates of the standard deviations of returns for each stock and the correlation between the returns of each pair of stocks. BHP BP Fiat Chrysler Heineken Korea Electric Nestlé Sony Tata Motors BHP 1.00...
Suppose you deposited $50,000 in a bank account that pays 8.25% with monthly compounding. How much...
Suppose you deposited $50,000 in a bank account that pays 8.25% with monthly compounding. How much would be in the account after 7 months? Show all your work
Suppose you deposited $50,000 in a bank account that pays 8.25% with monthly compounding. How much...
Suppose you deposited $50,000 in a bank account that pays 8.25% with monthly compounding. How much would be in the account after 7 months?
You deposit into a savings account 3 years ago, and earned interest at an annual rate...
You deposit into a savings account 3 years ago, and earned interest at an annual rate of eight percent. The deposit accumulated to 30,000. How much was initially deposited assuming that the interest was compounded a. annually b. semiannually c. quarterly
Cam deposited $50,000 into an IRA 30 years ago, what is thevalue of his account...
Cam deposited $50,000 into an IRA 30 years ago, what is the value of his account today if he earned 8% compounded semiannually?
Jane is 40 years old and has $ 50,000 in her investment account equally spread ....
Jane is 40 years old and has $ 50,000 in her investment account equally spread . And she plans to put in $ 2000 every year in each of the two funds . (15 % of this grade) Fund A : Current amount : $ 25,000 Historical performance , 10 year average : 8.5 % Fund beta : 1.2 $2000 added ever year Fund B : Current amount : $ 25,000 Historical performance , 10 year average : 4 .5...
Suppose you want to have $800,000 for retirement in 25 years. Your account earns 5% interest....
Suppose you want to have $800,000 for retirement in 25 years. Your account earns 5% interest. a) How much would you need to deposit in the account each month? $ 1,343.39 Correct b) How much interest will you earn? $
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT