SWH Corporation issued bonds on January 1, 2008. The bonds had a coupon rate of
ID: 2806339 • Letter: S
Question
SWH Corporation issued bonds on January 1, 2008. The bonds had a coupon rate of 5.25%, with interest paid semiannually. The face value of the bonds is $1,000 and the bonds mature on January 1, 2023. (1) What is the yield to maturity for an SWH Corporation bond on January 1, 2018 if the market price of the bond on that date is $950? (2) You purchased the bond on December 3, 2017 (settlement occurs 2 days after purchase, so you receive actual ownership of the bond on December 5, 2017). If the yield is 5.18%, what is the price of the bond? Please show work for both.
Explanation / Answer
1)use rate formuale in excel
=rate(nper,pmt,pv,fv,type)
=rate(12*2,(1000*5.25%/2),-950,1000,0)
=2.92%
annual it is 2.92%*2=5.84%
b)use pv formuale to fing the price of the bond
=pv(rate,nper,pmt,fv,type)
=pv(5.18%/2,(2),(1000*5.25%/2),1000,0)
=1000.67
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