A precision lathe costs $$10,000$ upfront and will cost $$20,000$ a year to$$ operate and maintain. If the discount rate is $10\%$ and the lathe will last for five years, what is the equivalent annual cost of the tool?

Question $6$ options:

$$23,765\mathrm{.}34$

$$25,987\mathrm{.}67$

$$22,637\mathrm{.}98$

$$27,815\mathrm{.}74$