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Old October 16th, 2009, 10:29 AM
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Default Paying In Advance

The premiums on an insurance policy are $60 every 3 months, payable at the beginning of each three-month period. If the policy holder wishes to pay 1 year’s premiums in advance, how much should be paid provided that the interest rate is 4.3% compounded quarterly?


What formula would I use for this? The Present value annutiy formula is what i believe it should be...

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Old October 16th, 2009, 11:17 AM
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Originally Posted by lil_cookie View Post
The premiums on an insurance policy are $60 every 3 months, payable at the beginning of each three-month period. If the policy holder wishes to pay 1 year’s premiums in advance, how much should be paid provided that the interest rate is 4.3% compounded quarterly?


What formula would I use for this? The Present value annutiy formula is what i believe it should be...

The question is worded poorly, normally you'd expect premium payments to stay stable so it would be $240. However, if you mean the premiums go up 4.3% a quarter then use the compound interest formula:

A(t) = A_0(1+x)^t
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Old October 16th, 2009, 11:50 AM
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Look at it this way to "unconfuse(!)" yourself:
assume that the insured left $180 at beginning (after paying 1st $60)
in an account that pays 4.3% compounded quarterly?

He then withdraws 60 every 3 months to pay next 3 quarterly premiums.
Calculate the interest he will receive in that account.

That interest is the amount by which the $240 would be reduced.


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