An amount of $9,250.00 is deposited into an account today, it is expected to increase to a maturity value of $11,042.29 in 8 years from now. What is the nominal interest rate compounded quarterly? Round the answer to two decimal places.
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correctly,solve only when you know correct solution.not use excel
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- Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.You put $600 in the bank for 3 years at 15%. A. If Interest Is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.
- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?Suppose that an investment promises to pay a nominal 9.6 percent annual rate of interest. What is the effective annual interest rate on this investment assuming that interest is compounded (a) annually? (b) semiannually? (c) quarterly? (d) monthly? (e) daily (365 days)? (f ) continuously? (Note: Report your answers accurate to four decimal places –e.g., 0.0987 or 9.87%.)1000 dollars is deposited into an account at the beginning of the year and the value at the end of five years is 1276.30. (a) If the account was subject to a force of interest δ(t) = kt where t is in years, k =? (b) If inflation is 1 percent a year, what is the adjusted effective yearly interest rate?
- If compounding is quarterly, what effective annual interest rate will make the following values of P and F equivalent for the values of n as shown below? P = 420,733 pesos; F = 3,147,429 pesos; n = 13 yearsA 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 $1000 becomes $1,811.36 after 5 years when invested at an unknown rate of interest compounded quarterly, determine the unknown nominal rate and the corresponding effective rate.
- Calculate the percentage return on a 1-year Treasury bill with a face value of $10,000if you pay $9,138.01to purchase it and receive its full face value at maturity. The percentage return is ______%. (Round to two decimal places.)Suppose S500 is invested at 4% compounded quarterly. (a) How long will it take the investament to accumulate to $750 if the exact method for accumulation is in effect? (b) How long will it take the investment to accumulate to $750 if the practical method for accumulation is in effect? Be sure to us linear interpolation! (e) What anmual effective interest rate must 8500 be invested at to accumulate to S750 in 10 years?Which one is the approximate periodic interest rate % on a Treasury bill that you purchase for 4,908 $ that will mature in 270 days for 5,000 $? (Assume one year is 360 days)