An investment that is expected to pay out $$1,000$ in $20$ years. How much should you pay for this

investment today if you want to earn $6\mathrm{.}25\%$ per annum return, under the following compounding

scenarios: $($i$)$ annual, $($ii$)$ semi$-$annual $($i$.$e$.$ two times per year$),($iii$)$ monthly, and $($iv$)$ daily?