Need help with annuity problem

littlebu

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Nov 15, 2010
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I am working a problem and don't know how to proceed. Here's the problem: When Sam starts working at age 18 he also starts putting away $100 a month into his retirement account, which pays 10% interest compounded monthly.

A.) How much wouuld be in his account when he gets ready to retire 35 years later?

This part I understand. The part I am stuck on is next.

B.) Suppose he missed a payment in June of the second year (the 15th payment). How much would be in the account when he retired?

I am not sure how to proceed. Should I calculate the value of the account up to the 14th payment, and add to the rest? I don't want to have to do S= 100+100(1.0083)+100(1.0083)^2.... since its for 35 years (420) values.
 
The missed $100 will not be in account for 405 months (420 - 15);
so shortage at month 420 will be 100(1 + .10/12)^405 = 2881.84

So simply subtract that from your Part#1 answer.
Should leave $376,781.97
 
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