Title
West Texas A&M University - Home
Virtual Math Lab

College Algebra
Answer/Discussion to Practice Problems  
Tutorial 64:
Annuities


WTAMU > Virtual Math Lab > College Algebra > Tutorial 64: Annuities


 

checkAnswer/Discussion to 1a
Present value of an ordinary annuity:
$2000 per quarter for 5 ½ years at the rate of 7% compounded quarterly.

 
ad1a

*7% in decimal form
*Comp. quarterly - 4 times per year
 
 
 

*PV of an ord. annuity
 
 

*Plug in values into form.
 
 
 

*Calculate number inside (  ) and exp.

*Raise inside of (  ) to the -22nd power

*Calculate fraction

 


 
The present value of the given ordinary annuity would be $36260.54.
(return to problem 1a)

 


 

checkAnswer/Discussion to 2a
Present value of an annuity (not ordinary):
$700 paid at the beginning of each month for 10 years at the rate of 8 1/4% compounded monthly.

 
ad2a

*81/4% = 8.25% in decimal form
*Comp. monthly - 12 times per year
 
 
 

*PV of an annuity (not ord.)
 
 
 
 

*Plug in values into form.
 
 
 

*Calc. number inside (  ) and exp.
 

*Raise inside of (  ) to the -119th power
 

*Calculate fraction
 


 
The present value for the given annuity (not ordinary) is $57464.12.
(return to problem 2a)

 


 

checkAnswer/Discussion to 3a
$5000 every 6 months for 12 years at the rate of 5% compounded semiannually.

 
ad3a

*5 % in decimal form
*Comp. semiannually - 2 times per year
 
 
 

*FV of an ordinary annuity 
 
 

*Plug in values into form.
 
 
 

*Calc. number inside (  ) and exp.

*Raise inside of (  ) to the 72nd power

*Calculate fraction

 


 
The future value of the given ordinary annuity is $161745.19
(return to problem 3a)

 


 

checkAnswer/Discussion to 4a
$1000 each year for 9 years at the rate of 4 1/4% compounded annually.

 
ad4a

*4 1/4% = 4.25 % in decimal form
*Comp. annually - 1 time per year
 
 
 

*FV of an annuity (not ord.) 
 
 
 
 

*Plug in values into form.
 
 
 

*Calc. number inside (  ) and exp.
 

*Raise inside of (  ) to the 10th power

*Calculate fraction

 


 
The future value of the given annuity (not ordinary) due is $11146.22.
(return to problem 4a)

 

Buffalo top

 

WTAMU > Virtual Math Lab > College Algebra > Tutorial 64: Annuities


Last revised on October 8, 2011 by Kim Seward.
All contents copyright (C) 2002 - 2011 WTAMU and Kim Seward. All rights reserved.