$1.$ Binomial model of term structure of interest rates: In the Worksheet $$Prob $1$ you are given the following term structure for spot rates. Build a short rate tree using the binomial model. Parameterize the model by minimizing the sum of squared errors between estimated and actual spot rates. Mention the parameters in the executive summary.Year Spot

$15\mathrm{.}00\%$

$25\mathrm{.}04\%$

$35\mathrm{.}13\%$

$45\mathrm{.}17\%$

$55\mathrm{.}21\%$

$65\mathrm{.}24\%$