Deferred Annuities












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A debt of 8000 is to be amortized by equal monthly payments starting at the end of one year and ending at the end of 2 years if money is worth 9% every month, find each payment.



So I was thinking this is a deferred annuity but instead of find the future value we are finding the annuity.



Plugging in my equation
n+d = 2 years which is 24 payments
Future value = 8000
AM i doing it right?



$Annuity$ = $frac{8000}{frac{1+left(frac{0.09}{12}right)^{24}}{frac{0.09}{12}}-{frac{1+left(frac{0.09}{12}right)^{12}}{frac{0.09}{12}}}}$










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  • $begingroup$
    You want $left(1+{.09over12}right)^{24}$ for example. You've got the left parentheses in the wrong place.
    $endgroup$
    – saulspatz
    Nov 26 '18 at 13:22










  • $begingroup$
    Are you still interested in an answer?
    $endgroup$
    – callculus
    Nov 26 '18 at 19:22


















-1












$begingroup$


A debt of 8000 is to be amortized by equal monthly payments starting at the end of one year and ending at the end of 2 years if money is worth 9% every month, find each payment.



So I was thinking this is a deferred annuity but instead of find the future value we are finding the annuity.



Plugging in my equation
n+d = 2 years which is 24 payments
Future value = 8000
AM i doing it right?



$Annuity$ = $frac{8000}{frac{1+left(frac{0.09}{12}right)^{24}}{frac{0.09}{12}}-{frac{1+left(frac{0.09}{12}right)^{12}}{frac{0.09}{12}}}}$










share|cite|improve this question











$endgroup$












  • $begingroup$
    You want $left(1+{.09over12}right)^{24}$ for example. You've got the left parentheses in the wrong place.
    $endgroup$
    – saulspatz
    Nov 26 '18 at 13:22










  • $begingroup$
    Are you still interested in an answer?
    $endgroup$
    – callculus
    Nov 26 '18 at 19:22
















-1












-1








-1





$begingroup$


A debt of 8000 is to be amortized by equal monthly payments starting at the end of one year and ending at the end of 2 years if money is worth 9% every month, find each payment.



So I was thinking this is a deferred annuity but instead of find the future value we are finding the annuity.



Plugging in my equation
n+d = 2 years which is 24 payments
Future value = 8000
AM i doing it right?



$Annuity$ = $frac{8000}{frac{1+left(frac{0.09}{12}right)^{24}}{frac{0.09}{12}}-{frac{1+left(frac{0.09}{12}right)^{12}}{frac{0.09}{12}}}}$










share|cite|improve this question











$endgroup$




A debt of 8000 is to be amortized by equal monthly payments starting at the end of one year and ending at the end of 2 years if money is worth 9% every month, find each payment.



So I was thinking this is a deferred annuity but instead of find the future value we are finding the annuity.



Plugging in my equation
n+d = 2 years which is 24 payments
Future value = 8000
AM i doing it right?



$Annuity$ = $frac{8000}{frac{1+left(frac{0.09}{12}right)^{24}}{frac{0.09}{12}}-{frac{1+left(frac{0.09}{12}right)^{12}}{frac{0.09}{12}}}}$







finance






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edited Nov 26 '18 at 13:19









saulspatz

14.3k21329




14.3k21329










asked Nov 26 '18 at 13:08









SuperMage1SuperMage1

897210




897210












  • $begingroup$
    You want $left(1+{.09over12}right)^{24}$ for example. You've got the left parentheses in the wrong place.
    $endgroup$
    – saulspatz
    Nov 26 '18 at 13:22










  • $begingroup$
    Are you still interested in an answer?
    $endgroup$
    – callculus
    Nov 26 '18 at 19:22




















  • $begingroup$
    You want $left(1+{.09over12}right)^{24}$ for example. You've got the left parentheses in the wrong place.
    $endgroup$
    – saulspatz
    Nov 26 '18 at 13:22










  • $begingroup$
    Are you still interested in an answer?
    $endgroup$
    – callculus
    Nov 26 '18 at 19:22


















$begingroup$
You want $left(1+{.09over12}right)^{24}$ for example. You've got the left parentheses in the wrong place.
$endgroup$
– saulspatz
Nov 26 '18 at 13:22




$begingroup$
You want $left(1+{.09over12}right)^{24}$ for example. You've got the left parentheses in the wrong place.
$endgroup$
– saulspatz
Nov 26 '18 at 13:22












$begingroup$
Are you still interested in an answer?
$endgroup$
– callculus
Nov 26 '18 at 19:22






$begingroup$
Are you still interested in an answer?
$endgroup$
– callculus
Nov 26 '18 at 19:22












1 Answer
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$begingroup$

$i=0.09/12$, $v=frac{1}{1 +i} $, $L=8000$



$$
A=frac{L}{v^{12}timesfrac{1-v^{12}}{i} }
$$






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    1 Answer
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    active

    oldest

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    active

    oldest

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    0












    $begingroup$

    $i=0.09/12$, $v=frac{1}{1 +i} $, $L=8000$



    $$
    A=frac{L}{v^{12}timesfrac{1-v^{12}}{i} }
    $$






    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$

      $i=0.09/12$, $v=frac{1}{1 +i} $, $L=8000$



      $$
      A=frac{L}{v^{12}timesfrac{1-v^{12}}{i} }
      $$






      share|cite|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$

        $i=0.09/12$, $v=frac{1}{1 +i} $, $L=8000$



        $$
        A=frac{L}{v^{12}timesfrac{1-v^{12}}{i} }
        $$






        share|cite|improve this answer









        $endgroup$



        $i=0.09/12$, $v=frac{1}{1 +i} $, $L=8000$



        $$
        A=frac{L}{v^{12}timesfrac{1-v^{12}}{i} }
        $$







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 27 '18 at 22:28









        alexjoalexjo

        12.3k1430




        12.3k1430






























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