You are considering buy an asset that generates an initial cash flow of $$1000$ in $5$ year's time. The cash flow then grows at a rate of $5\%$ p$.$a$.$ compounded annually for $10$ years. If similar investments are offering a return of $10\%$ p$.$a$.$ compounded quarterly, how much should this asset cost today?

Group of answer choices

$$5,471\mathrm{.}44$

$$4,436\mathrm{.}21$

$$5,294\mathrm{.}14$

$$8,010\mathrm{.}73$

$$4,299\mathrm{.}48$

$$7,859\mathrm{.}18$