Question

In: Finance

You deposit $1000 at the beginning of each semi-annual period for 7 years at 5% compounded...

You deposit $1000 at the beginning of each semi-annual period for 7 years at 5% compounded semi-annually. Determine the future value.

Solutions

Expert Solution

r = 5%/2 = 2.5% (semi-annually), n = 7 * 2 = 14 semi-annual periods.

FV = 1.025 * 1000 * 16.5190

FV = $16,931.93


Related Solutions

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....
You deposit ​$1000 in an account that pays ​8% interest compounded semiannually. After 5 ​years, the...
You deposit ​$1000 in an account that pays ​8% interest compounded semiannually. After 5 ​years, the interest rate is increased to 8.12​% compounded quarterly. What will be the value of the account after a total of 10 ​years?
Sylvia is considering depositing $600 at the end of each semi-annual period, for 5 years earning...
Sylvia is considering depositing $600 at the end of each semi-annual period, for 5 years earning interest of 8%. She would like to know how large a one-time lump sum deposit she could make, at the same rate, to have the same amount of money after 5 years. Sylvia later decides needs $ 11,000 in 8 years. She has the opportunity to make a one-time investment that will earn 10% compounded quarterly. How much must she invest to reach her...
You will deposit $9000 into an account with an annual interest rate of 7% compounded monthly,...
You will deposit $9000 into an account with an annual interest rate of 7% compounded monthly, leave the account untouched for 18 years, and then withdraw equal amounts at the end of each month for the following 9 years, ending with a balance of $9000. What will your monthly withdrawals be?
An annuity pays $250 at the end of each semi-annual period for 10 years. The payments...
An annuity pays $250 at the end of each semi-annual period for 10 years. The payments are made directly into a savings account with a nominal interest of 4.85% payable monthly, and they are left in the account. Find the effective interest rate for the semi-annual period and use it to calculate the balance immediately after the last payment.
If a loan was repaid by semi-annual payments of $4710.00 in 6.5 years at 8.34% compounded...
If a loan was repaid by semi-annual payments of $4710.00 in 6.5 years at 8.34% compounded quarterly, how much interest was paid?
16. If you deposit $1000 at the end of each of the next 10 years, how...
16. If you deposit $1000 at the end of each of the next 10 years, how much will you have in 20 years if you earn 10% APR compounded annually?A. $41,338B. $40,187C. $42,492D. $43,937E. $42,531 Show Process Please
A 10 year 1000 bond with 7% semi-annual coupons is bought for a price to yield...
A 10 year 1000 bond with 7% semi-annual coupons is bought for a price to yield 6.5% conv. semiannually. It is bought on Feb 1, 2003. Find the actual selling price on Dec. 31, 2003. Find the price quoted in paper (full) on Dec 31, 2003. Use 30/360.
What is the future value of a $1000/month deposit at the end of 5 years that...
What is the future value of a $1000/month deposit at the end of 5 years that grows at a rate of $50/month, starting with your second deposit (which is $1,050). Assume that your initial deposit occurs at the end of your first month. Use 9% nominal annual interest compounded monthly. What is the value of your LAST PAYMENT of a $1000/month deposit at the end of 5 years that grows at a rate of $50/month, starting with your second deposit...
A deposit of $5,000 earns interest at 4% compounded semi-annually. After three-and-a-half years, the interest rate...
A deposit of $5,000 earns interest at 4% compounded semi-annually. After three-and-a-half years, the interest rate is changed to 4.5% compounded quarterly. How much is the account worth after 7 years? Jan is saving for a new bike that will cost $800. She has $500, which she has invested at 7% compounded semi-annually. How many years will it be (approximately) until she has $800? How long will it take for money to double if it is compounded quarterly at 6%?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT