You are considering buy an asset that generates a initial cash flow of $$5000$ in $7$ year's time. The cash flow then grows at a rate of $6\%$ p$.$a$.$ compounded annually for $8$ years. If similar investments are offering a return of $12\%$ p$.$a$.$ compounded monthly, how much should this asset cost today?

Group of answer choices

$$16,497\mathrm{.}47$

$$15,467\mathrm{.}19$

$$13,497\mathrm{.}29$

$$12,683\mathrm{.}33$

$$31,662\mathrm{.}88$

$$32,563\mathrm{.}08$