The market portfolio of the Tierra del Fuego stock market has an expected return of $22\%$ and a

standard deviation of returns of $19\%.$ The risk$-$free rate is $7\%$

$(1)$ What is the equation of the Tierra del Fuego Capital Market Line? $(4$ pts$)$

$(2)$ Compute the weights, mean return, standard deviation, and Sharpe ratio for the following

Capital Market Line $($CML$)$ portfolios. Hint: You can either use the above equation or use Goal

Seek or Solver for this question. $(18$ pts$)$

i$.$ A portfolio composed of $35\%$ risk$-$free asset.

ii$.$ A portfolio composed of $120\%$ of the market portfolio.

iii. A portfolio that yields a return of $15\%.$

iv$.$ A portfolio that yields a return of $23\%.$

v$.$ A portfolio with standard deviation of $35\%.$

vi$.$ A portfolio with standard deviation of $5\%$