There are three securities in the market. The following chart shows their possible payoffs:

State Probability

of Outcome Return on Security $1$ Return on Security $2$ Return on Security $3$

$1\mathrm{.}16\mathrm{.}194\mathrm{.}194\mathrm{.}044$

$2\mathrm{.}34\mathrm{.}144\mathrm{.}094\mathrm{.}094$

$3\mathrm{.}34\mathrm{.}094\mathrm{.}144\mathrm{.}144$

$4\mathrm{.}16\mathrm{.}044\mathrm{.}044\mathrm{.}194$

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c$-1.$ What is the expected return of a portfolio with half of its funds invested in Security $1$ and half in Security $2?($Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places $($e$.$g$.,32\mathrm{.}16).)$

Expected return

Security $1$ & $2\%$

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c$-2.$

What is the standard deviation of a portfolio with half of its funds invested in Security $1$ and half in Security $2?($Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places $($e$.$g$.,32\mathrm{.}16).)$

Standard deviation

Security $1$ & $2\%$

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d$-1.$ What is the expected return of a portfolio with half of its funds invested in Security $1$ and half in Security $3?($Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places $($e$.$g$.,32\mathrm{.}16).)$

Expected return

Security $1$ & $3\%$

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d$-2.$ What is the standard deviation of a portfolio with half of its funds invested in Security $1$ and half in Security $3?($Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places $($e$.$g$.,32\mathrm{.}16).))$

Standard deviation

Security $1$ & $3\%$

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e$-1.$ What is the expected return of a portfolio with half of its funds invested in Security $2$ and half in Security $3?($Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places $($e$.$g$.,32\mathrm{.}16).)$

Expected return

Security $2$ & $3\%$

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e$-2.$

What is the standard deviation of a portfolio with half of its funds invested in Security $2$ and half in Security $3?($Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places $($e$.$g$.,32\mathrm{.}16).)$

Standard deviation

Security $2$ & $3\%$

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