A bank offers the following interest rates on your deposit: (Draw the Cashflow) 10% per year, compounded quarterly • 9% per year, compounded monthly (a) Determine the effective rate for each on the basis of semiannual periods. (b) What are the effective annual rates? (c) Which bid has the lowest effective annual rate?
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- If you borrow $7,500 at $550 interest for one year, what is your effective interest rate for the following payment plans? (Input your answers as a percent rounded to 2 decimal places.) a. Annual payment b. Semiannual payments c. Quarterly payments d. Monthly payments Effective Rate of Interest % % %Your company are offered a bank loan with an annual percentage ate (APR) of 5 percent with quarterly compounding. What is the effective annual rate (EAR) on this loan? (Answers are rounded to two decimals) a) 5.00 % b) 21.55 % c) 5.09 % d) 1.25 % e) 105.09 %Suppose you have received a credit card offerfrom a bank that charges interest at 1.4% per month,compounded monthly. What is the nominal interest(annual percentage) rate for this credit card? What isthe effective annual interest rate?
- You are considering an investment account with one of the advertised commercial deposits from SyncFuture Bank. SynFuture's CD pays 8% APR, compounded semiannually. What is the investment's effective annual rate (rEAR)? (Round the answer to four decimal points.)A payday lender lends money on the following terms: “If I give you $100 today, you will write me a check for $120, which you will redeem or I will cash on your next payday.” Noting that calculated rates would be even higher for closer paydays, assume that the payday is two weeks away. (a) What nominal interest rate per year (r) is the lender charging? (b) What effective interest rate per year (ia) is the lender charging? (c) If the lender started with $100 and was able to keep it, as well as all the money received, loaned out at all times, how much money does the lender have at the end of one year?A certificate of deposit (CD) is an agreement between a bank and a saver in which the bank guarantees an interest rate and the saver commits to leaving his or her deposit in the account for an agreed-upon period of time. National Trust Savings offers five-year CDs at 8.33% compounded daily, and Bank of the Future offers five-year CDs at 8.36% compounded annually. Compute the annual yield for each institution. (Round your answers to two decimal places.) NTS BF %
- A bank pays a simple interest rate of 4.1% on 30 to 179-day GICs of at least $100,000. What is the effective annualized rate of return:a) On a 40-day GIC?b) On a 160-day GIC?If you borrow $4,600 at $850 interest for one year, what is your effective interest rate for the following payment plans? (Input your answers as a percent rounded to 2 decimal places.) X Answer is complete but not entirely correct. a. b. Annual payment Semiannual payments C. Quarterly payments d. Monthly payments Effective Rate of Interest 18.48 % 19.33 X % 19.80 X % 20.13 X %You borrow $1,000 from the bank and agree to repay the loan over the next year in 12 equal monthly payments of $90. However, the bank also charges you a loan initiation fee of $18, which is taken out of the initial proceeds of the loan. What is the effective annual interest rate on the loan, taking account of the impact of the initiation fee? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Use a financial calculator or Excel. Effective annual interest rate 1.49 %
- A promissory note is a written statement agreeing to pay a sum of money either on demand or at a definite future time. When a note is purchased for its present value at a given interest rate, the note is said to be discounted and the interest rate is called the discount rate. Suppose a $10,000 note due 7 years from now is sold to a financial institution for $5600. What is the nominal discount rate with quarterly compounding? The nominal rate is %. (Type an integer or decimal rounded to two decimal places as needed.)A bank offers a loan that will require you to pay 9% per annum with semi-annual compounding. Which of the following is the closest to the effective annual rate charged by the bank?Suppose you borrow $2,000 from a bank for one year at a stated annual interest rate of 14 percent, with interest prepaid (a discounted loan). Also, assume that the bank requires you to maintain a compensating balance equal to 20 percent of the initial loan value What effective annual interest rate are yo being charged