Question

An annuity has end of quarter payments for twelve years, and the payment at the end...

An annuity has end of quarter payments for twelve years, and the payment at the end of the jth quarter (j = 1, 2, · · · , 48) is $100j. The payments are made directly into a savings account with a nominal interest rate of 4% payable quarterly, and they are left in the account. Compute the balance in the savings account immediately after the last payment.

Show working please, should not be done in excel. THANK YOU.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An annuity pays $20,000 per quarter for 25 years and the payments are made at the...
An annuity pays $20,000 per quarter for 25 years and the payments are made at the end of each quarter. The first payment is made at the end of the first quarter. If the annual interest rate is 8 percent compounded quarterly for the first 10 years, and 12 percent compounded quarterly thereafter, what is the present value of the annuity (i.e, value of the annuity now)?
A) Suppose payments were made at the end of each quarter into an ordinary annuity earning...
A) Suppose payments were made at the end of each quarter into an ordinary annuity earning interest at the rate of 10% per year compounded quarterly. If the future value of the annuity after 5 years is $50,000, what was the size of each payment? B) The Pirerras are planning to go to Europe 3 years from now and have agreed to set aside $150/month for their trip. If they deposit this money at the end of each month into...
A loan is to be repaid in end of quarter payments of $1,000 each, with there...
A loan is to be repaid in end of quarter payments of $1,000 each, with there being 20 end of quarter payments total. The interest rate for the first two years is 6% convertible quarterly, and the interest rate for the last three years is 8% convertible quarterly. Find the outstanding loan balance right after the 6th payment. Please show/explain your work, I'd like to learn how to do it without excel
Consider an annuity with equal monthly payments of $300 for 5 years, with the first payment...
Consider an annuity with equal monthly payments of $300 for 5 years, with the first payment starting 7 months from now. If the effective annual rate for the first two years (starting today) is 5% and the nominal rate in subsequent years is 6% per annum compounded semi-annually, calculate the future value of this annuity immediately after the last monthly payment.
1. Scott has saved $ 560 per quarter for the last three years in a savings...
1. Scott has saved $ 560 per quarter for the last three years in a savings account earning 5.2% compounded quarterly. He plans to leave the accumulated savings for seven years in the savings account at the same rate of interest. (i) How much will Scott have in total in his savings account? 2. What is the discounted value of payments of $ 60 made at the end of each month for nine years if interest is 4.5% compounded monthly?
A loan is being repaid with 20 payments of $ 1,000 at the end of each...
A loan is being repaid with 20 payments of $ 1,000 at the end of each quarter. Given that the nominal rate of interest is 8% per year compounded quarterly, find the outstanding balance of the loan immediately after 10 payments have been made (a) by the prospective method, (b) by the retrospective method. Please solve by hand, I need to know how to complete the problem without a financial calculator. Thank you.
A loan is being repaid with 20 payments of $ 1,000 at the end of each...
A loan is being repaid with 20 payments of $ 1,000 at the end of each quarter. Given that the nominal rate of interest is 8% per year compounded quarterly, find the outstanding balance of the loan immediately after 10 payments have been made (a) by the prospective method, (b) by the retrospective method.
A)A sequence of quarterly payments o P6,267 each, with the first payment due at the end...
A)A sequence of quarterly payments o P6,267 each, with the first payment due at the end of 2 years and the last payment at the end of 13 years. Find the present worth of these payments if money is worth 5% compounded quarterly. B)A manufacture borrows P2,211,340 with interest at 6% compounded monthly, and agrees to discharge the loan by a sequence of equal monthly payments for 4 years with the first payment at the beginning of the 4th year.  Find...
Assume you are to receive a 20-year annuity with annual payments of $60. The first payment...
Assume you are to receive a 20-year annuity with annual payments of $60. The first payment will be received at the end of Year 1, and the last payment will be received at the end of Year 20. You will invest each payment in an account that pays 10 percent. What will be the value in your account at the end of Year 30?(FV twice) $6,854.81 $7,427.83 $8,709.88 $9,427.83
What is the present value of the following annuity? $1,070 every half year at the beginning...
What is the present value of the following annuity? $1,070 every half year at the beginning of the period for the next 14 years, discounted back to the present at 3.13 percent per year, compounded semiannually. You plan to buy a house in 14 years. You want to save money for a down payment on the new house. You are able to place $348 every month at the end of the month into a savings account at an annual rate...