use TVM if needed

A fund will provide a perpetuity paying $$1,000$ on January $1$ of each year, with the first payment due on January $1,2015.$ To accumulate this fund, five equal deposits will be made on January $1$ in each of the years $2010$ through $2014.$ The fund earns a nominal annual rate of interest of $10\%$ compounded semiannually.

Determine in which of the following ranges is the amount of each deposit.

Passible Answers

$$1,350$

$$1,350$ but $$$$1,425$

$$

$$1,425$ but $$ $$1,500$

$$$1\mathrm{.}500$ but $$$$1,575$

$$$$1\mathrm{.}575$