$1.$ Define the following:

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Callable bond

Puttable bond

Zero$-$coupon bond

Premium bond

Discount bond

Crossover bonds

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$2.$ Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par value of EUR $1,000,15$ years to maturity, a coupon rate of $7\mathrm{.}2\%.$ If the yield to maturity is $6\mathrm{.}3\%,$ what is the current price of the bond?

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$3.$ Rhiannon Corporation has bonds on the market with $13$ years to maturity, a YTM of $7\mathrm{.}6\%,$ a par value of $$1,000,$ a current market price of $$1,075.$ The bonds make semiannual payments.

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a$.$ What must the coupon rate be on these bonds?

b$.$ What would be coupon rate if the current market price is $$962\mathrm{.}68?$

c$.$ What would be the coupon rate if the bonds make quarterly payments?

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$4.$ Suppose that a bond has a face value of $$1,000$ and a YTM of $8\%$ per annum. If the bond pays monthly coupons with an annual coupon rate of $9\mathrm{.}6\%,$ what will be the current price of the bond? The bond will mature in $5$ years.

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$5.$ a$.$ James Inc. issues a bond $($James bond, in short$)$ with a par value of $$1,000,$ a coupon rate of $7\%$ per annum, and a YTM of $10\%.$ If the bond is selling for $$815\mathrm{.}66,$ what is the maturity of the bond?

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b$.$ How much would James bond be selling for if it was a semiannual bond with a maturity of $6$ years?