Question $12(1\mathrm{.}67$ points$)$

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Dana wants to purchase bonds that are being sold by XYZ company that have a $10$year maturity and $$1,000$ par value. These bonds are zero$-$coupon bonds and their interest compounds semiannually. The yield to maturity on similar bonds is estimated to be $9\%.$ How much profit can she make per each bond she purchases now and sells $1$ year from now?

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a$)42\mathrm{.}84$

b$)40\mathrm{.}73$

c$)37\mathrm{.}47$

d$)38\mathrm{.}16$