Question

In: Finance

Find the future values of the following ordinary annuities: FV of $600 paid each 6 months...

Find the future values of the following ordinary annuities: FV of $600 paid each 6 months for 5 years at a nominal rate of 10% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.

FV of $300 paid each 3 months for 5 years at a nominal rate of 10% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $

Solutions

Expert Solution

future value of annuity = A*[(1+r)^n-1]/r

1st case.

A=$600

r=10% per annum =>10%*6/12 =>5%

=>0.05

n = 5years * 2 six month periods each=>10

future value of annuity = $600*[(1.05)^10-1]/0.05

=>$600*12.5778926

=>$7,546.74.

2nd case.

A=$300

r=10% per year =>10%*3/12=>2.5% per quarter

=>0.025

n =5 years*4 quarters

=>20.

future value of annuity = $300*[(1.025)^20-1]/0.025

=>$300*25.5446576

=>$7,663.40.


Related Solutions

Find the future values of the following ordinary annuities: FV of $200 paid each 6 months...
Find the future values of the following ordinary annuities: FV of $200 paid each 6 months for 5 years at a nominal rate of 4% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $100 paid each 3 months for 5 years at a nominal rate of 4% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent.
Find the future values of the following ordinary annuities: FV of $800 paid each 6 months...
Find the future values of the following ordinary annuities: FV of $800 paid each 6 months for 5 years at a nominal rate of 11% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $400 paid each 3 months for 5 years at a nominal rate of 11% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ These annuities receive the same amount of cash during...
Find the future values of the following ordinary annuities: FV of $200 paid each 6 months...
Find the future values of the following ordinary annuities: FV of $200 paid each 6 months for 5 years at a nominal rate of 5% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $100 paid each 3 months for 5 years at a nominal rate of 5% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   These annuities receive the same amount of cash during...
Find the future values of the following ordinary annuities: FV of $400 paid each 6 months...
Find the future values of the following ordinary annuities: FV of $400 paid each 6 months for 5 years at a nominal rate of 9% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $200 paid each 3 months for 5 years at a nominal rate of 9% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   These annuities receive the same amount of cash during...
Find the future values of the following ordinary annuities. FV of $200 each 6 months for...
Find the future values of the following ordinary annuities. FV of $200 each 6 months for 10 years at a nominal rate of 8%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $100 each 3 months for 10 years at a nominal rate of 8%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   The annuities described in parts a and b have the same...
eBook Find the future values of the following ordinary annuities: FV of $300 paid each 6...
eBook Find the future values of the following ordinary annuities: FV of $300 paid each 6 months for 5 years at a nominal rate of 7% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $150 paid each 3 months for 5 years at a nominal rate of 7% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   These annuities receive the same amount of cash...
find the future value of the following ordinary annuities. FV of 800 each 6 months for...
find the future value of the following ordinary annuities. FV of 800 each 6 months for 8 years at a nominal rate of 16%, compunded semiannually. Do not round intermediate calculations . Round your answer to the nearsest cent
Find the future values of the following ordinary annuities.
Future Value of an Annuity for Various Compounding PeriodsFind the future values of the following ordinary annuities.FV of $800 each 6 months for 9 years at a nominal rate of 8%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.$   FV of $400 each 3 months for 9 years at a nominal rate of 8%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent.$   The annuities described in parts a and b...
Find the future value of the following ordinary annuities:
  Find the future value of the following ordinary annuities: $600 per year for 10 years at 10% $300 per year for 5 years at 5% $600 per year for 5 years at 0%
Find the future values of these ordinary annuities. Compoundingoccurs once a year. Do not round...
Find the future values of these ordinary annuities. Compounding occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent.a. $400 per year for 12 years at 8%b. $200 per year for 6 years at 4%.c. $600 per year for 6 years at 0%.d. Rework parts a, b, and c assuming they are annuities due.-Future value of $400 per year for 12 years at 8%:-Future value of $200 per year for 6 years at 4%:-Future...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT