(Properties of r(Q)) For the exact continuous (r, Q) model in Section 5.2, prove

that, for any Q > 0:

a) r(Q) <>∗ < r(q)="" +="">

b) −1 <>

(Q) < 0;="" r(q)="" is="" decreasing;="" and="" r(q)="" +="" q="" is="">

c) limQ→∞ r(Q) = −∞ and limQ→∞ r(Q) + Q = ∞

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