Housing Down Payment

Consider a new grad engineer wants to start saving for a housing down payment. With current real estate prices, she'll need $100,000 within 5 years. How much will she need to invest annually if she plans on holding a typical index fund that historically returns 10% annually? Ignore inflation.

Hint
The problem is asking for the uniform amount per interest period, $$A$$ , given the future worth, $$F$$ .
Hint 2
Uniform Series Sinking Fund:
$$$A=F\cdot \frac{i}{(1+i)^{n}-1}$$$
where $$i$$ is the interest rate per interest period, and $$n$$ is the number of compounding periods.
The problem is asking for the uniform amount per interest period, $$A$$ , given the future worth, $$F$$ . Uniform Series Sinking Fund:
$$$A=F\cdot \frac{i}{(1+i)^{n}-1}$$$
where $$i$$ is the interest rate per interest period, and $$n$$ is the number of compounding periods.
$$$A=\$100,000\cdot \frac{0.1}{(1+0.1)^{5}-1}=\frac{\$10,000}{(1.1)^5-1}=\$16,380$$$
$16,380