Question

In: Finance

Suppose, you invest $10,000 today in a fund that pays 5% annual interest compounded quarterly. How...

Suppose, you invest $10,000 today in a fund that pays 5% annual interest compounded quarterly. How many years will it take for the fund to double the investment?

Solutions

Expert Solution

Ans 13.95 years

FV = Future Value
PV = Present Value
r = rate of interest
n= no of period
FV/ PV = (1 + r )^n
20000 / 10000 = (1 + 5%/4)^n
2 = (1 + 5%/4)^n
2 = 1.0125^n
n = 13.95 years

Related Solutions

Suppose you have an opportunity to invest in a fund that pays 13​% interest compounded annually.​...
Suppose you have an opportunity to invest in a fund that pays 13​% interest compounded annually.​ Today, you invest ​$5,000 into this fund. Three years later​ (EOY 3), you borrow $2500 from a local bank at 10​% annual interest and invest it in the fund. Two years later​ (EOY 5), you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal​ (EOY 8) you start taking ​$1000 per...
Suppose you invest $10,000 into a fund paying 3.6% annual interest. How much will you have...
Suppose you invest $10,000 into a fund paying 3.6% annual interest. How much will you have after 5 years is the interest is compounded: a) Annually b) Semi-Annually c) Quarterly d) Monthly
If you invest $3,130.35 in an account earning an annual interest rate of 2.33% compounded quarterly,...
If you invest $3,130.35 in an account earning an annual interest rate of 2.33% compounded quarterly, how much will be in your account after 2 years? After 11 years?
You invest $75,000 today at a 5.5% annual rate that is compounded quarterly. After 8 years...
You invest $75,000 today at a 5.5% annual rate that is compounded quarterly. After 8 years the interest rate increases to an 7.5% rate compounded monthly. What is the investment worth in 18 years?
How much will be in an account at the end of 5 years if you deposit $10,000 today at 8.7% annual interest, compounded semi-annually?
Practice Time Value of Money Problems 1. How much will be in an account at the end of 5 years if you deposit $10,000 today at 8.7% annual interest, compounded semi-annually? 2. What is the balance at the end of 10 years if $2.500 is deposited today and the account earns 4% interest annually? What about if it's quarterly interest? Which one should be more and why? 3. Suppose you want to have $500,000 saved by the time you reach 30 years old....
Suppose you make equal quarterly deposits of $1,000 into a fund that pays interest at a...
Suppose you make equal quarterly deposits of $1,000 into a fund that pays interest at a rate of 12% compounded monthly. Find the balance at the end of year 3. (can you please sove it with excal and show the formales )
How much money should Shelby invest today in a fund that earns interest at 4.02% compounded...
How much money should Shelby invest today in a fund that earns interest at 4.02% compounded quarterly, if she wants to receive $5,750 at the end of every 6 months for the next 4 years? Round to the nearest cent
Suppose Evan deposited $10,000 into a savings account today. The account pays a nominal annual interest...
Suppose Evan deposited $10,000 into a savings account today. The account pays a nominal annual interest rate of 12%, but interest is compounded quarterly. Assuming that he makes no additional deposits into or withdrawals from the account, what will his ending balance be 10 years from today?
1. You deposit $12,000 today into an account that pays you 12% annual interest, compounded daily....
1. You deposit $12,000 today into an account that pays you 12% annual interest, compounded daily. How much MORE will you have in 40 years, than if the compounding was only computed annually (as opposed to daily)? a. $340,363.55 b. $1,356,895.45 c. $1,456,975.20 d. $1,116,611.65 e. $3,403,635.50 2. You want to set up an endowment fund at pwc that will provide $1M in scholarships to students annually, forever. Given an expected return of 6.5%, how much do you need in...
Amanda took a loan of ???10,000 from a bank at 5% interest rate compounded quarterly. The...
Amanda took a loan of ???10,000 from a bank at 5% interest rate compounded quarterly. The loan is to be amortised by equal quarterly payments over 1year, 3months time. i. Find the regular payment Amanda would make. ii. Construct an amortization schedule for the payment of the loan. A. Amanda took a loan of ???10,000 from a bank at 5% interest rate compounded quarterly. The loan is to be amortised by equal quarterly payments over 1year, 3months time. i. Find...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT