# Compounded Quarterly

Money borrowed today is to be paid in 6 equal payments at the end of 6 quarters. If the interest is 12% Compounded Quarterly. How much was initially borrowed if quarterly payment is $2000 Answer is$10834.38

I've tried the Compound Interest Formula:

A = P(1+r/n)^nt
2000 = P(1+0.12/4)^(4*(6/4))


I am Getting P = 1674

What am I doing wrong? Any hint?

• Why $A=2000$? It's a quarterly payment and not the total amount... – d.k.o. Jun 28 '15 at 6:58

The calculation you show in your work answers a different question, namely: How much should I invest now with a one-time deposit so as to have $\$ 2000$after six quarters? For your stated problem, you should use the present value of annuity formula:$V=R\cdot \frac{1-(1+i)^{-n}}{i}$where$R=\$2000$, $i=.03$, and $n=6$.