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- 1) A child’s grandparents have opened a ₱586702 savings account for the child on the day of her birth. The account pays 1.7% compounded semiannually. The child will be allowed to withdraw the money when she reaches the age of 21. What will the account be worth at that time? Round your answer to 2 decimal places. 2) What simple interest rate (in %) is equivalent to 6.5% compounded quarterly if money is invested for 8 years? Round your answer to 2 decimal places.You just obtained a loan of $15,000 with monthly payments for four years at 5.04 percent interest, compounded monthly. What is the amount of each payment?Carlos buys a bond that will pay him $1,000 after 3 years. It accumulates interest at an annual interest rate of 7% with continuous compounding. What is the value of this bond today? $810.58 $816.30 $425.78 $310.29
- 2. What is the balance in an account at the end of 10 years if $25,000 is deposited today and the account earns 4% interest, compounded annually? quarterly?1. An engineer plans to borrow $25,000 to open his own consulting business. He must repay $500 a month for 5 years. What is the nominal annual interest rate (compounded annually)? 2. An engineer is planning a 15 year retirement. She has decided that she will need to withdraw $4,000 each month from her bank account to live. How much money should she have in the bank at the start of her retirement, if the bank pays 0.25% interest per month (compounded monthly)? Hint: There are 15 x 12 compounding periods.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?
- 2. Which of these gives the highest effective rate of interest? 16.35% compounded twice every month 17.45% compounded every 4 months 15.85% compounded monthly 16.95% compounded bi-monthly3. A person invests 4,500 in the hopes of receiving a return in eight years. What amount, in pesos, will be recovered eight years from now if the interest rate on the investment is 14.54 percent per year, compounded annually? 4. Calculate the compounded interest after 7 years and 9 months if 500,000 is placed at an annual rate of 11.28 percent compounded monthly. On January 1, 1988, a total of 5,200,000 was deposited at a rate of 24.50 percent compounded semi-annually. What was the value of the sum on January 1, 1993? 3 decimal placesYou borrowed $35,000 to buy a new car from abank at an interest rate of 10.2% compounded monthly.This loan will be repaid in 96 equal monthly installments over eight years. Immediately after the 36thpayment, you desire to pay the remainder of the loanin a single payment. Compute this lump-sum amount
- A ₱ 26,823 debt is to be paid off in eight equal quarterly payments at 3% compounded quarterly. What should be the amount of each payment if payments are done every beginning of the month?27. How much do eight ₱ 64,055 quarterly payments amount at present, if the interest rate is 2 compounded quarterly?An entrepreneur needs thousand of dollars to launch the global expansion of his software business. I have agreed to lend him the money today (n=0) at an interest rate of 8% compounded quarterly. I required that the loan be repaid in eight annual payments starting at Year 4 with a $20K payment. Subsequent payments will decrease by $1K each year thereafter. (1) What is the present value of the money being borrowed? (2) Convert your Present Value to Annual Payment. Answer: ieff = P0Total = $ A/P0Total = $