Initial deposit , PV = 2600
Rate = 8% compounded continuously
Number of years, n = 11
EAR = e^ rate*n = e^8%*11 = 2.41
Future value = 2600* 2.41 = $ 6268.34
Continuous compounding For the case in the following table, find the future value at the end...
Compounding frequency, time value, and effective annual rates For each of the cases in the following table,囲 a. Calculate the future value at the end of the specified deposit period b. Determine the effective annual rate, EAR. c. Compare the nominal annual rate, r, to the effective annual rate, EAR. What relationship exists between compounding frequency and the nominal and effective annual rates? a. The future value of case A at the end of year 7 is d to the...
For the case shown in the following table, determine the amount of the equal, end-of-year deposits necessary to accumulate the given sum at the end of the specified period, assuming the stated annual interest rate. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Sum to be accumulated Accumulation period (years) Interest rate $95,500 3 9% The amount of the end-of-year annual deposit is $ (Round to the...
For EACH of the following cases in the following table: a. Calculate the future value at the end of the specified deposit period. b. Determine the effective annual rate, EAR. c. Compare the nominal annual rate, r, to the effective annual rate, EAR. What relationship exists between compounding frequency and the nominal and effective annual rates? Compounding frequency, Deposit period (times/year) (years) Nominal annual rate, Case 7% Amount of initial deposit $2,400 $48,000 $900 $20,000 11% 6% 17% Print Done...
The following table describes the characteristics of five annuities: E. Calculate the future value of each annuity given its characteristics. The future value, FV, on the annuity at the end of the deposit period for Deposit A is $ . (Round to the nearest cent.) i Data Table 4% Annual Annuity Interest Annuity Deposit Payment Rate Length (yr) $2,200 $800 6% $1,300 8% $12,400 9% $4,100 15% (Click on the icon located on the top-right corner of the data table...
(Round to the nearest cent) in order Future value of an annuity Using the values below, answer the questions that follow. (Click on the icon here to copy the contents of the data table below into a spreadsheet.) Amount of annuity $6,500 Interest rate 5% Deposit period (years) 7 a. Calculate the future value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else...
Changing compounding frequency Using annual, semiannual, and quarterly compounding periods, (1) calculate the future value if $6,000 is deposited initially at 11% annual interest for 7 years, and (2) determine the effective annual rate (EAR) Annual Compounding (1) The future value, Vn, is (Round to the nearest cent.) 2) If the 11% annual nominal rate is compounded annually the EAR is 96 Round to two decimal places Semiannual Compounding (1) The future value, Vn, is (Round to the nearest cent.)...
Changing compounding frequency Using annual, semiannual, and quarterly compounding periods, (1) calculate the future value if $4,000 is deposited initially at 1 1% annual interest for 6 years, and (2) determine the effective annual rate (EAR) (1) The future value, FVn is (Round to the nearest cent) (2 If the 11% annual nominal rate is compounded annually, the EAR is 96 Round to two decimal places. (1) The future value, FVn, is S(Round to the nearest cent.) (2) If the...
I can't make excel figure out the continuous interest. (#4) You plan to invest $2,100 in an individual retirement arrangement (IRA) today at a nominal Compounding frequency and time value Personal Finance Problem annual rate of 8%, which is expected to apply to all future years. a. How much will you have in the account at the end of 9 years if interest is compounded (1) annually, (2) semiannually, (3) daily (assume a 365-day year), and (4) continuously? b. What...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities: FV of $200 paid each 6 months for 9 years at a nominal rate of 12%, compounded semiannually. Round your answer to the nearest cent. $ FV of $100 paid each 3 months for 9 years at a nominal rate of 12%, compounded quarterly. Round your answer to the nearest cent. $
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities: FV of $800 paid each 6 months for 7 years at a nominal rate of 12%, compounded semiannually. Round your answer to the nearest cent. $ FV of $400 paid each 3 months for 7 years at a nominal rate of 12%, compounded quarterly. Round your answer to the nearest cent. $