Finding Interest of Payments of $10000 semiannually for 15 yrs @ 5% compounded semian

[theonlyshadybox]

Payments of $10000 semiannually for 15 years at 5% compounded semiannually. How much of the 4th payment is interest? How much interest is paid in the first 4 months?

 

[jonah2.0]

Absinthe soaked ramblings follow.

Payments of $10000 semiannually for 15 years at 5% compounded semiannually. How much of the 4th payment is interest? How much interest is paid in the first 4 months?

At the rate you specify, what is the interest
on $1000 for 6 months?

I love thee Sir Denis!
Thou art indeed a true math knight errant.
I beg thy forgiveness for leaving thee alone to battle these infernal giants; I see that thy eyesight hath failed thee on this occasion.
I be certain that you meant $10,000.
Be that as it may, and late as I be, we have for the 1st query
i=.05/2, n=15*2, R=10,000.
Thus,
A=R*[1-(1+i)^(-n)]/i which then implies that
[A(1+i)^3-R*[(1+i)^3-1]/i]*i
For the 2nd query, methinks the question be a typo since the first payment be at the end of six months, and the question asks "How much interest is paid in the first 4 months?".
If the question be "How much interest is paid in the first 4 payments? ", then it be a simple matter of
R*4-{A-[A(1+i)^4-R*[(1+i)^4-1]/i]}
Probably. Maybe.
I be too intoxicated to be certain.
But then who cares. The OP ha probably moved on.
Cheers to all of ye out here.