During the year just ended, Anna Schultz's portfolio, which has a beta of $0\mathrm{.}94,$ earned a return of $8\mathrm{.}1\%.$ The risk$-$free rate is currently $3\mathrm{.}7\%,$ and the return on the market portfolio during the year just ended was $9\mathrm{.}2\%.$

a$.$ Calculate Treynor's measure for Anna's portfolio for the year just ended.

b$.$ Compare the performance of Anna's portfolio found in part a to that of Stacey Quant's portfolio, which has a Treynor's measure of $1\mathrm{.}35\%.$ Which portfolio performed better? Explain.

c$.$ Calculate Treynor's measure for the market portfolio for the year just ended.

d$.$ Use your findings in parts a and $c$ to discuss the performance of Anna's portfolio relative to the market during the year just ended.

a$.$ The Treynor's measure for Anna's portfolio is $\%.($Round to two decimal places.$)$