You have a student loan with a 10% APR, compounded monthly, and a $27,000 balance. You plan to pay off the entire balance by making semi-annual payments for 19 years. a. What is the effective semi-annual interest rate? b. How much is each payment? a. What is the effective semi-annual interest rate? 5.11% (Round to 2 decimal places) b. How much is each payment? $ 1623 (Round to the nearest dollar-no decimal places)
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- You want to borrow $41,611. You must repay the loan in 13 years in equal monthly payments and a single $3,960 payment at the end of 13 years. The interest rate is 15% nominal per year. What is the amount of each payment?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 department store has offered you a credit card that charges interest at 1.05% per month, compounded monthly. a. What is the nominal interest (annual percentage) rate for this credit card? b. What is the effective annual interest rate?
- Investments Jack invests $1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $190 interest in I year, at what rate is the $1000 invested?You can afford a $1500 per month mortgage payment. You've found a 30 year loan at 7% interest compounded monthly.a) How big of a loan can you afford?$b) How much total money will you pay the loan company?$c) How much of that money is interest?$You borrowed an amount of $15,000 and paid it $20,223 in 3 years. If the interest rate was compounded monthly, what is the nominal interest rate?
- Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. HINT [See Quick Example 2.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) PMT= $ $30,000 in a fund paying 7% per year, with monthly payments for 5 years XMr. Smith is planning his retirement. He has decided that he needs to withdraw $12000 per year from his bank account to supplement his other income from Social Security and a private pension plan. How much money should he plan to have in the bank at the start of his retirement, if the bank pays 10% per year, compounded annually, and if he wants money to last for a 12-year retirement period?To help you reach a $16,000 goal 8 years from now, your father offers to give you $4,000 now. You plan to get a part-time job and make five additional deposits, one at the end of each year. (The first deposit is made at the end of the first year.) If all your money is deposited in a bank that pays 6% interest, how large must your annual deposit be?
- If you borrowed $24,000 at 12% annual interest. You agreed to repay the loan with five equal annual payments. How much of the total amount repaid is interest? How much of the third annual payment is interest, and how much principal is there? If you decided to pay off your loan after the third payment, how much will you pay?A bank saving account offers 4% compounded on a quarterly basis. A customer deposit $200, in this type of account, at the start of each quarter starting with the first deposit on the first of January and the fourth deposit on the first of October. What is the total amount in his account at the end of the year?Mr. Benedito, a grocery store owner, borrows $50,000.00 from a loan shark, handing him a $77,000.00 promissory note with a maturity of 6 months. What is the annual and monthly simple interest rate charged by the loan shark?