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If you need $8000 to travel to Europe after you graduate in 4 years.  How much would your monthly deposits need to be if your account earns interest at 5% compounded monthly?

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Bunny Greenfelder
Bunny GreenfelderLv2
3 Apr 2019

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Problem No. 6

You are planning for retirement. You have $800,000 in your retirement account. What monthly withdrawal can you make from the fund for the next 30 years at a nominal interest rate of 6%, compounded monthly, if the account balance will be $0 at the end of the 30 years? What is the effective interest rate for the MONTHLY compounding?

1) Sara Smith plans to have $50 withheld from her monthly paycheckand deposited in a savings account that earns 12% annually,compounded monthly. If Malone continues with her plan for one andone-half years, how much will be accumulated in the account on thedate of the last deposit? (Use TableB.4) (Round "FV factor"to 4 decimal places andfinal answer to 2 decimal places. Omit the "$" sign in yourresponse.)


Amount in the account?


2) On January 1, 2011, a company agrees to pay $21,000 in fiveyears. If the annual interest rate is 3%, determine how much cashthe company can borrow with this agreement. (Use Table B.1)(Round "PV factor" to 4 decimal places and final answer to thenearest dollar amount. Omit the "$" sign in yourresponse.)


3) John Smith finances a new automobile by paying $5,800 cash andagreeing to make 20 monthly payments of $570 each, the firstpayment to be made one month after the purchase. The loan bearsinterest at an annual rate of 12%. What is the cost of theautomobile? (Use Table B.3)(Do not round intermediate calculations. Round "PV Factor" to 4decimal places and final answer to 2 decimal places. Omit the "$"sign in your response.)


5. An investment proposal has an outlat of $60.000 today and annual cash inflow of $15,000 from year 1 to year 6. Find its net present value of the required rate of return is 15%. Is the investment viable?

6. A debt of $5,300 due in four years and another $11,500 due in twelve years will be settled by making two equal payment, one at the end of six years and the other at the end of 9 years, Find the total payment assuming that money is worth 8% compounded quarterly. Use the twelve years as a focal date.

7. On 5 februrary 2012, Anna borrows $80,000 and agree to repay the loan in 110 days at 9% per annum simple interest, Find the simple amount of the loan and the settlement date of the loan, Using the bankers rule

8. The net price of an item listed for $1,500 after deducting trade discount of 20%, 15% and x% is $969. FInd X

9. AAA and BBB need an additional $6565 for a down payment on a home they hope to buy in 2 years, They invest $808 at the end of each quarter in an account earning6% compounded quarterly. Find the amount of the annuity and the interest earned.

10. Find the value in 2 years time of $4,444 invested at 5% compounded annually. In the following 2 years, the interest rate is expected to rise to 8%. Find the value of the investment at the end of the 4 years period, and find the overall percentage increase.

11. A debt of $5,555 due 5 month ago and another $8,888 due in 12 month are to be settled by making three equal payment. One at the end of the two months, One at the end of six months and the other at the end of ten months. Find the size of payment using. the seconf month as the focal date. Assuming money is worth 9% per annum simple interest.

12. Four years ago John borrowed $3000 from Arlette. The principal with interest at 10% compounded semi-annually is to be repaid six years from the date of the loan. Fifteen month ago, John borrowed another $1500 for 3 and haly year at 9% compounded quarterly. John is now proposing to settle both debts with two equal payment to be made 2 and 3 and half years from now. what should the payment be if money now earns 8% compounded quarterly.

13. Mathew buys a house for $250,000, He makes a 10% down payment and finances the balance through a bank for 25 years. A. if the interest rate is 7% compounded monthly, find the monthly payment that Mathew has to make to settle the loan. How much is the total interest charged? B. Suppose Mathew misses the first four payments. How much should he pay on the fifth month if he wants to settle the outstanding arrears? C. Immediately after paying for 15 years, Mathwe wants to settle the loan in full, How much is the amount he needs to pay?

14. Nania bough a piece of land for $150,000, She made an initial down payment of $40,000 and the balanced is financed through a bank. For the repayment of the bank loan, She has to pay $1975.50 a month. A) If the bank rate is 12% compounded monthly, Find the number of monthly payment that will settle the loan. B) If Nania intends to settle the loan by making a final payment immediately after paying the first 40 monthly payment, Find the value of this payment. What is the total interest payment she has to pay? C) If Nania intends to settle the loan by making a final payment on the 41st payment immediately after paying the first 40 monthly payments, Find the value of this payment.

15a. What is an annuity?

b. Fatimah purchased a house costing $450,000. She made a down payment of 10%, The balance was borrowed from Capital one bank which charges 9% compounded monthly. to setle the loan, Fatimah had to make equal monthly payment for 15 years.

i) How much is the down payment ii) Find Fatimah's Monthly payment iii) Find the total interst that she has to pay.

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