Kai buys a 19 year callable bond with a coupon rate of 4.000% (nominal, semi-annual). The bond is callable at par on any coupon date starting at the end of year 15. Kai pays $31,626.64 and is guaranteed to earn a yield of at least 1.250% (nominal, semi-annual) on his investment. What is the face value F of the bond? O a. $23,000.00 O b. $25,300.00 O c. $18,850.00 O d. $23,450.00 O e. $28,050.00

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
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Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 16P
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Kai buys a 19 year callable bond with a coupon rate of 4.000% (nominal, semi-annual). The bond is callable at par on any coupon date
starting at the end of year 15. Kai pays $31,626.64 and is guaranteed to earn a yield of at least 1.250% (nominal, semi-annual) on his
investment. What is the face value F of the bond?
O a. $23,000.00
O b. $25,300.00
O c. $18,850.00
O d. $23,450.00
Oe.
$28,050.00
Javier buys a 25 year, $950,000.00 face value, 1.750% coupon bond. The bond is priced to yield r26) = 5.750%, and is secured by a sinking
fund (set up by the issuer with semi-annual deposits), that earns 4.250% compounded quarterly. On default, Javier claims the balance in
the sinking fund. How much does he lose if the issuer defaults after 24 years (just after making their coupon payment, and sinking fund
deposit).
O a. $22,011.08.
O b. $18,535.65.
Oc.
$23,169.56.
O d. $23,632.95.
O e. $23,864.64.
Transcribed Image Text:Kai buys a 19 year callable bond with a coupon rate of 4.000% (nominal, semi-annual). The bond is callable at par on any coupon date starting at the end of year 15. Kai pays $31,626.64 and is guaranteed to earn a yield of at least 1.250% (nominal, semi-annual) on his investment. What is the face value F of the bond? O a. $23,000.00 O b. $25,300.00 O c. $18,850.00 O d. $23,450.00 Oe. $28,050.00 Javier buys a 25 year, $950,000.00 face value, 1.750% coupon bond. The bond is priced to yield r26) = 5.750%, and is secured by a sinking fund (set up by the issuer with semi-annual deposits), that earns 4.250% compounded quarterly. On default, Javier claims the balance in the sinking fund. How much does he lose if the issuer defaults after 24 years (just after making their coupon payment, and sinking fund deposit). O a. $22,011.08. O b. $18,535.65. Oc. $23,169.56. O d. $23,632.95. O e. $23,864.64.
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