Which of the following has the most effective annual rate of interest? A. 12.50 % compounded annually B. 11.95% compounded quarterly C. 12.15% compounded semi-annually D. 11.88% compounded monthly
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Which of the following has the most effective annual rate of interest?
A. 12.50 % compounded annually
B. 11.95% compounded quarterly
C. 12.15% compounded semi-annually
D. 11.88% compounded monthly
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Solved in 3 steps
- Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent. CompoundAmount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest $28,000 6 years 4 semiannually $ $Complete the following without using Table 12.1. (Round the "Total amount" and "Total interest" to the nearest cent.) Principal Time (years) Rate of compound interest Compounded Periods Rate Total amount Total interest $575 1 4 % Quarterly %Using Table 11-1, compute the amount of compound interest (in $) earned in 1 year and the annual percentage yield (APY) for the investment. (Round your answers to two decimal places.) Principal NominalRate (%) InterestCompounded Compound InterestEarned in 1 Year Annual PercentageYield (APY) $6,000 12 semiannually $ %
- Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent. CompoundAmount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest $400,000 10 years 4 annually $ $Identify each of the following interest rate statements as either nominal or effective.a. 4% per yearb. 6% per year compounded annuallyc. 10% per quarterd. 8% per year compounded monthlye. 1% per monthf. 1% per month compounded monthlyg. 0.1% per day compounded hourlyh. effective 1.5% per month compounded weeklyi. 12% per year compounded semiannuallyj. 1% per month compounded continuouslyIdentify the compounding period for the following interest statements: (a) 3% per year; (b) 10% per year compounded quarterly; (c) nominal 7.2% per year compounded daily; (d) effective 3.4% per quarter compounded continuously; and (e) 0.012% per day compounded hourly.
- Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment. (Round your answers to the nearest cent.) Principal TimePeriod (years) NominalRate (%) InterestCompounded CompoundAmount CompoundInterest $5,100 4 8 quarterly $ $PLEASE, PERFORM THE EXERCISE IN EXCEL AND SHOW THE FORMULAS1.- Now find the future or final value (FV) at compound interest of the amounts expressed in each item, taking into account the compound interest rate and its respective compounding period. Indicate separately the total amount of interest and the effective rate. a)$299,105 at 9.75% compounded quarterly for 16 years.b)$320,000 at 8.45% compounded monthly over 15 years.c)$1'909,900 at 8½% compounded semiannually over 13 years.d)$838,750 at 7½% compounded monthly over 10 years. Note:In the image, this is the original exercise, it is in Spanish, but it is easy to understand. Very important Note:It is necessary that you make a solution approach and then the result. Above all, to check the procedure and/or the formulas used, especially when you use excel. TO CONSIDER THE YEAR AS 360 DAYS (WHICH IS COMMERCIAL) (only if required)Assume an effective compound interest rate 6% per annum. a) The nominal interest rate payable semi-annually b) The effective interest rate payable quarterly c) The effective rate of discount per annum d) The nominal rate of discount payable monthly
- Complete the following without using Table12.1. Note: Round the "Total amount" and "Total interest" to the nearest cent. Principal: $1,360 Time (years): 1 Rate of compound interest: 10% Compounded: Quarterly Periods: Rate: % Total amount: Total interest: Period 0.5% 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 1 1.0050 1.0100 1.0150 1.0200 1.0250 1.0300 1.0350 1.0400 1.0450 1.0500 1.0550 1.0600 1.0650 1.0700 1.0750 1.0800 1.0850 1.0900 1.0950 1.1000 2 1.0100 1.0201 1.0302 1.0404 1.0506 1.0609 1.0712 1.0816 1.0920 1.1025 1.1130 1.1236 1.1342 1.1449 1.1556 1.1664 1.1772 1.1881 1.1990 1.2100 3 1.0151 1.0303 1.0457 1.0612 1.0769 1.0927 1.1087 1.1249 1.1412 1.1576 1.1742 1.1910 1.2079 1.2250 1.2423 1.25.97 1.2773 1.2950 1.3129 1.3310 4 1.0202 1.0406 1.0614 1.0824 1.1038 1.1255 1.1475 1.1699 1.1925 1.2155 1.2388 1.2625 1.2865 1.3108 1.3355 1.3605 1.3859 1.4116 1.4377 1.4641 5 1.0253 1.0510 1.0773 1.1041 1.1314 1.1593 1.1877…Determine the nominal interest rate compounded continuously corresponding to an effective interest rate of 12% per year. Select one: a. 11.33% b. 11.75% c. 10.68% d. 10.25%Manually calculate the compound amount and compound interest (in $) for the investment. Principal TimePeriod (years) NominalRate (%) InterestCompounded CompoundAmount CompoundInterest $1,000 2 10 annually $ $
