The table below shows the$$ no$-$arbitrage prices of securities A and B and the cash flows for security C under both the weak economy and the strong economy scenarios. The$$ risk$-$free interest rate is $4\mathrm{.}7\%.($Click on the icon located on the$$ top$-$right corner of the data table below in order to copy its contents into a$$ spreadsheet.$)$

Cash Flow in One Year

Security

Market Price Today

Weak Economy

Strong Economy

Security A

$ $230$

$ $0$

$ $600$

Security B

$ $343$

$ $600$

$ $0$

Security C

$ $600$

$ $2$ comma $400$

Security D

$ $2$ comma $400$

$ $600$

a$.$ Security C has the same payoffs as what portfolio of the securities A and$$ B$?$

b$.$ Security D has the same payoffs as what portfolio of the securities A and$$ B$?$

c$.$ What is the$$ no$-$arbitrage price of security$$ C$?$

d$.$ What is the$$ no$-$arbitrage price of security$$ D$?$

e$.$ What is the expected return of security C if both states are equally$$ likely? What is its risk$$ premium?

f$.$ What is the expected return of security D if both states are equally$$ likely? What is its risk$$ premium?

g$.$ What is the difference between the return of security C when the economy is strong and when it is$$ weak?

h$.$ If security C had a risk premium of $10\mathrm{.}3\%,$ what arbitrage opportunity would be$$ available?

i$.$ What is the difference between the return of security D when the economy is strong and when it is$$ weak?

j$.$ If security D had a risk premium of $10\mathrm{.}3\%,$ what arbitrage opportunity would be$$ available?