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- a. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded quarterly? b. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded monthly? c. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded daily? d. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded continuously? e. At what compounding period does the effective annual interest rate very closely approximate continuous compounding? (Consider to the nearest 0.0001)a. How much will you have in an account after 25 years if you put $2000 per month in the account earns 9% compounded monthly? b. How much will you have after 25 years if you put $2000 per month in the account that instead earns 10% compounded monthly?You deposit $200 each month into an account earning 5% interest compounded monthly. a) How much will you have in the account in 15 years? $ b) How much total money will you put into the account? $ c) How much total interest will you earn? $
- a) What is the future value of a series of payments of $6,000 each, at the end of 8 years, at 6% compounded annually? First payment occurred at end of year 1. b) What is the present value of a series of 6 payments of $5,000 each at 7.25%compounded annually? c) What equal-annual-payment series is required in order to repay a present value of $18,000 in five years at 8% interest compounded annually?Simple vs. compounded interest. Show your complete solution and box your answers. To make CDs look more attractive than they really are, some banks advertise that their rates are higher than their competitors' rates; however, the fine print says that the rate is a simple interest rate. If a person deposits $10,000 at 10% per year simple interest, what compound interest rate would yield the same amount of money in 3 years?If Phil borrows $25,000 from a loan company at an interest rate of 3.5% per year compounded weekly, and plans to make a payment of $850 per quarter, how may years will it take him to pay off the loan?If Phil borrows $25,000 from a loan company at an interest rate of 3.5% per year compounded weekly, and plans to make a payment of $850 per quarter, how may years will it take him to pay off the loan?
- If you borrow $4,000, what single payment must you make after 5 years to repay the principal and interest at 10%? Alternatively, what uniform annual payment would be required? 2. The interest rate charged on a small loan is 1.5% per month. What are the corresponding 'nominal' and 'effective' rates per annum? 3. Using the interest rate of 3% compounded annually, what is the amount that will be accumulated in a sinking fund at the end of 15 years if $200 is deposited in the fund at the beginning of each of the 15 years if $200 is deposited in the fund at the beginning of each of the 15 years?1. What is the Single Payment Compound Amount factor for an interest rate of 2% over 10 years? 2. What is the Uniform Gradient Future Worth factor for an interest rate of 10% over 10 years? 3. What is the Uniform Series Present Worth factor for an interest rate of 5.5% over 20 years? 4. A bank pays 3% interest per year (compounded annually). a. To what amount will a $5,000 deposit grow if left in the bank for 10 years? b. Draw the Cash Flow Diagram for this problem.1.What is the accumulated amount of an annuity paying P30,000 at the end of each year for 7 years with interest at 15% compounded annually? 2.Miss Dela Cruz borrows P500,000 at 12% compounded annually agreeing to repay the loan in 15 equal annual payments. How much of the original principal is still unpaid after he has made the 8th payment.
- A bond with a face value of $5,000 pays quarterly interest of 3 5 percent each period. Thirty-four interest payments remain before the bond matures. How much would you be willing to pay for this bond today if the next interest payment is due now and you want to earn 8 percent compounded quarterly on your money? Click the icon to view the table of compound interest factors for discrete compounding periods when i = 2% You should pay $ (Round to the nearest cent as needed )Assuming an interest rate of 10% compounded annually, answer the following questions:(a) How much money can be loaned now if $20,000 is to be repaid at the end of five years?(b)How much money will be required in five years in order to repay a $15,000did loan borrow now?Q2 Mr. Zzz deposited $25,000 in a bank which offers a compound annual interest of 7%. How long will it takes him to get his amount matured for $ 35,800 if the interest is compounded quarterly.