Suppose the term structure of interest rates is shown below:

Term $1$ year $2$ years $3$ years $5$ years $10$ years $20$ years

Consider an investment that pays $$1000$ certain at the end of each of the next four years. If the investment costs $$3500$ and has an NPV of $$74\mathrm{.}26,$ then the

four year risk$-$free interest rate is closest to:

$4\mathrm{.}74\%$

$4\mathrm{.}81\%$

$4\mathrm{.}69\%$

$4\mathrm{.}53\%$