Posted by **C.J.** on Saturday, June 6, 2009 at 7:44pm.

A zero-coupon bond matures for $1,000 in exactly 12 years' time. If you paid $385.63 today for the bond, what average yearly rate of return will you earn?

- Math/Economics -
**Anonymous**, Saturday, June 6, 2009 at 8:42pm
I dont think I am right, but $83.33 or 32.13 I am b=not sure

- Math/Economics -
**MathMate**, Saturday, June 6, 2009 at 8:45pm
Let r=interest rate

385.63*(1+r)^{12}=1000

(1+r)^{12} = 1000/385.63 = 2.5932

Solve for 1+r and calculate r as the interest rate.

Quick check:

Rule of 72 says that money invested at r% will double in 72/r years (approximately).

Since the investment has more than doubled in 12 years, the interest rate should be *more* than 72/12=6%.

In fact, it is over 8%.

Post your results if you want to check.

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