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- A bank quotes you an interest rate of 6.6% per annum with quarterly compounding. What is the equivalent rate with annual compounding? Enter your answer in percentage rounded to two decimals places (e.g, 15.45%)If a bank was offering a nominal rate of return of 12% compounded monthly, what is the annual effective rate?Percentages need to be entered in decimal format, for instance 3% would be entered as .03 in the interest rate cells.) Suppose your opportunity cost (interest rate/year) is 11% compounded annually. How much must you deposit in an account today if you want to pay yourself $230 at the end of each of the next 15 years? How much must you deposit if you want to pay yourself $230 at the beginning of each of the next 15 years? Bruce invested $1,250 (present value - enter as a negative number) 10 years ago. Today, the investment is worth $3,550 (future value). If interest is compounded annually, what annual rate of return did Bruce earn on his investment? (Use Solving for r - Rate of Return- on a Lump Sum) Mario wants to take a trip that costs $4,750 (future value), but currently he only has $2,260 (present value - enter as a negative number) saved. If Mario invests this money at 7% compounded annually, how long will it take for his investment to grow to the needed amount of…
- What effective annual rate can a bank earn on an APR of 10.5 percent, compounded monthly? Can the excel and calculator solution be provided?Suppose you deposit D dollars at the beginning of each month into an account that pays a monthly rate of r as a decimal. Then, the balance B of the account after t months is given by B = D(1 + r) (1 + r)t − 1 r dollars. Suppose you deposit $160 at the beginning of each month into an account that pays a monthly rate of r = 0.005, which corresponds to an APR of 6%. How long does it take for the account balance to build to $2600? Report your answer to the nearest whole month. monthsYou 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.)
- Find the annual percentage yield for an investment at the following rates. (Round your answers to two decimal places.) (a) 7.9% compounded monthly %(b) 6% compounded continuously %Percentages need to be entered in decimal format, for instance 3% would be entered as .03 in cell B12.) Set up an amortization schedule for a $60,000 loan to be repaid in equal installments at the end of each of the next 20 years at an interest rate of 20%. What is the annual payment? After you input the data for each scenario, click on the Graph tab (second tab on the worksheet) and look at the Principal and Interest portions of the payments throughout the years. What do you notice about the amount of Principal and Interest over the years (which amount is higher in the early years, and which amount is higher in the later years) of the loan? What do you notice about the difference in Principal and Interest in the 10% scenarios compared to 20% scenarios?A bank pays interest at the nominal rate of 3.8% per year. What is the effective annual yield if compounding is:ROUND ALL ANSWERS TO THE NEAREST 0.01% . A) annual?___% B) monthly?___% C) continuously?___%
- Determine how much is in each account on the basis of the indicated compounding after the specified years have passed; P is the initial principal, and r is the annual rate given as a percent. (Round your answers to the nearest cent.) after one year where P = $7200 and r = 2.5% (a) compounded annually$ (b) compounded quarterly$ (c) compounded monthly$ (d) compounded weekly$ (e) compounded daily$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?What is the effective annual rate (EAR) if your credit card charges you 10.45 percent compounded quarterly? Show your formula/calculation/explanation! Why is it different from annual percentage rate?