Bond pricing In January 2008, you purchased a XYZ bond with 10 years until maturity. The bond has an annual coupon rate of 9% and pays coupons semiannually (the first coupon will be paid in June 2008). It has a par value of $1,000 (if you need to calculate the semiannual return based on annual return, you can simply divide the annual return by 2).  Please show all your work and inputs (a).What’s the price of the bond in January 2008 with annual YTM of 8% (keep four decimals).                       (b). In 2008-2009, you received four coupons, first in June 2008 and last in December 2009. Assume the market yield dropped to 7% (annual rate) in 2008 and 2009 after you purchased the bond. By considering reinvestment risk, what is the future value of four coupons at the end of 2009 (December 2009) (keep four decimals)?                             (c). You experienced a huge loss during 2008-2009. In December 2009, you decided to sell the XYZ bond right after receiving the fourth coupon. At that time, the market yield dropped to 7% (annual rate). What’s the price you could sell the bond at (keep four decimals)?                (d).  What is your two-year HPR for this two-year investment by using the answer in (a), (b) and (c) (consider price and reinvestment risks) (keep four decimals)?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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. Bond pricing

In January 2008, you purchased a XYZ bond with 10 years until maturity. The bond has an annual coupon rate of 9% and pays coupons semiannually (the first coupon will be paid in June 2008). It has a par value of $1,000 (if you need to calculate the semiannual return based on annual return, you can simply divide the annual return by 2). 

Please show all your work and inputs

(a).What’s the price of the bond in January 2008 with annual YTM of 8% (keep four decimals).

 

 

 

 

 

 

 

 

 

 

 

(b). In 2008-2009, you received four coupons, first in June 2008 and last in December 2009. Assume the market yield dropped to 7% (annual rate) in 2008 and 2009 after you purchased the bond. By considering reinvestment risk, what is the future value of four coupons at the end of 2009 (December 2009) (keep four decimals)?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c). You experienced a huge loss during 2008-2009. In December 2009, you decided to sell the XYZ bond right after receiving the fourth coupon. At that time, the market yield dropped to 7% (annual rate). What’s the price you could sell the bond at (keep four decimals)? 

 

 

 

 

 

 

 

(d).  What is your two-year HPR for this two-year investment by using the answer in (a), (b) and (c) (consider price and reinvestment risks) (keep four decimals)?  

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