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The Following Information Relates to Questions 1-10
Samuel & Sons

question 26

Multiple Choice

The following information relates to Questions 1-10
Samuel & Sons is a fixed-income specialty firm that offers advisory services to investment management companies. on 1 october 20X0, Steele ferguson, a senior analyst at Samuel, is reviewing three fixed-rate bonds issued by a local firm, Pro Star, inc. The three bonds, whose characteristics are given in Exhibit 1, carry the highest credit rating.
EXHiBiT 1 fixed-Rate Bonds issued by Pro Star, inc.
 Bond  Maturity  Coupon  Type of Bond  Bond 1 1 October 20X3 4.40% annual  Option-free  Bond 2 1 October 20X3 4.40% annual  Callable at par on 1 October 20X1  and on 1 October 20X2  Bond 3  1 October 20X3 4.40% annual  Putable at par on 1 October 20X1  and on 1 October 20X2 \begin{array}{lcll}\text { Bond } & \text { Maturity } & \text { Coupon } &{\text { Type of Bond }} \\\hline \text { Bond 1 } & 1 \text { October 20X3 } & 4.40 \% \text { annual } & \text { Option-free } \\\\\text { Bond 2 } & 1 \text { October 20X3 } & 4.40 \% \text { annual } & \text { Callable at par on 1 October 20X1 } \\&&&\text { and on 1 October 20X2 } \begin{array}{l}\\\end{array} \\\text { Bond 3 } & \text { 1 October 20X3 } & 4.40 \% \text { annual } & \text { Putable at par on 1 October 20X1 } \\ &&&\text { and on 1 October 20X2 }\end{array}
The one-year, two-year, and three-year par rates are 2.250%, 2.750%, and 3.100%, re-spectively. Based on an estimated interest rate volatility of 10%, ferguson constructs the bino-mial interest rate tree shown in Exhibit 2.
EXHiBiT 2 Binomial interest Rate Tree
 The following information relates to Questions 1-10 Samuel & Sons is a fixed-income specialty firm that offers advisory services to investment management companies. on 1 october 20X0, Steele ferguson, a senior analyst at Samuel, is reviewing three fixed-rate bonds issued by a local firm, Pro Star, inc. The three bonds, whose characteristics are given in Exhibit 1, carry the highest credit rating. EXHiBiT 1 fixed-Rate Bonds issued by Pro Star, inc.   \begin{array}{lcll} \text { Bond } & \text { Maturity } & \text { Coupon } &{\text { Type of Bond }} \\ \hline \text { Bond 1 } & 1 \text { October 20X3 } & 4.40 \% \text { annual } & \text { Option-free } \\ \\ \text { Bond 2 } & 1 \text { October 20X3 } & 4.40 \% \text { annual } & \text { Callable at par on 1 October 20X1 } \\ &&&\text { and on 1 October 20X2 } \begin{array}{l} \\  \end{array} \\ \text { Bond 3 } & \text { 1 October 20X3 } & 4.40 \% \text { annual } & \text { Putable at par on 1 October 20X1 } \\  &&&\text { and on 1 October 20X2 }  \end{array}   The one-year, two-year, and three-year par rates are 2.250%, 2.750%, and 3.100%, re-spectively. Based on an estimated interest rate volatility of 10%, ferguson constructs the bino-mial interest rate tree shown in Exhibit 2.  EXHiBiT 2 Binomial interest Rate Tree    on 19 october 20X0, ferguson analyzes the convertible bond issued by Pro Star given in Exhibit 3. That day, the option-free value of Pro Star's convertible bond is $1,060 and Pro Star's stock price is $37.50. EXHiBiT 3 Convertible Bond issued by Pro Star, inc.   \begin{array} { l c }  \text { Issue Date: } & 6 \text { December 20X0 } \\ \hline \text { Maturity Date: } & 6 \text { December 20X4 } \\ \text { Coupon Rate: } & 2 \% \\ \text { Issue Price: } & \$ 1,000 \\ \text { Conversion Ratio: } & 31\\ \hline \end{array}  -All else being equal, if the shape of the yield curve changes from upward sloping to flat- tening, the value of the option embedded in Bond 2 will most likely: A)  decrease. B)  remain unchanged. C)  increase. on 19 october 20X0, ferguson analyzes the convertible bond issued by Pro Star given in Exhibit 3. That day, the option-free value of Pro Star's convertible bond is $1,060 and Pro Star's stock price is $37.50.
EXHiBiT 3 Convertible Bond issued by Pro Star, inc.
 Issue Date: 6 December 20X0  Maturity Date: 6 December 20X4  Coupon Rate: 2% Issue Price: $1,000 Conversion Ratio: 31\begin{array} { l c } \text { Issue Date: } & 6 \text { December 20X0 } \\\hline \text { Maturity Date: } & 6 \text { December 20X4 } \\\text { Coupon Rate: } & 2 \% \\\text { Issue Price: } & \$ 1,000 \\\text { Conversion Ratio: } & 31\\\hline\end{array}
-All else being equal, if the shape of the yield curve changes from upward sloping to flat- tening, the value of the option embedded in Bond 2 will most likely:

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