BOND PRICING DUE IN WEEK 2
The following questions refer to the on! series th"t is !eter#ine! $ the !"$ of $our tutori"l "s suggeste! $ the l"st %olu#n of the t" le& Thurs ' (ri) Cou*on r"te) -"turit$) 1iel! 2, *&"&3) +&2+, -"r 2./0 4&50+
i3 Dr"w " ti#eline of %"sh flows of the on!&
ii3 Use the "**ro"%h "s illustr"te! in the le%ture notes "n! 6e%tion 2&5 of 1i* 22..+3 to %o#*ute the settle#ent *ri%e "n! the quote! *ri%e of the on!& Todays date is 25/07/08 (Friday) settlement date is 207.87.9 (N.B. settlement date is 2 working days after t e release date) !at"rity date is at /+7.57.0 #ay fa$e %al"e &'00 on t is date #ay interest e%ery si( mont s on '5t !ar$ and )e*tem+er, +etween now and "ntil +ond mat"res. -nn"al interest ./ $100 0.0525 = $5.25 $100 0.0525 = $2.625 0o"*on interest *er si( mont s ./ 2 1sing met od as *er te(t+ook and le$t"re notes, we get2 1 ( 1 + 0.031975 ) p ' = $2.625 0.031975 = 91.3405002 T is +ond is $"m3interest, sin$e t ere are 45 days from settlement to t e ne(t $o"*on date. T erefore, fra$tional *eriod is denoted f and defined2 number of days between settlement date and next coupon payment date number of days between pre !ous and next coupon payment dates number of days between 29"07"0# and 15"09"0# = number of days between 15"03"0# and 15"09"0# 4# = 1#4 p '+ CPP P0 = f ( 1+ r ) f = = 91.3405002 + 2.625
21
$100
( 1 + 0.031975 )
21
( 1 + 0.031975) 1#4
4#
= $93.197
T is means t at t e +"yer will *ay t e seller &56.'57 two working days later t an T"esday, 25t 7"ly 2008.
8n T "rsday, 6'st 7"ly 2008, t e +ond is $"m interest and we a%e s own t at its *ri$e will +e &56.'57 w en t e 9T! is :.655;. T e following *ri$e will +e <"oted in t e market instead2 Padj = P0 CPP ( 1 f ) 4# = $93.197 2.625 1 1#4 = $91.257 iii3 Is the on! *ri%e! elow: the s"#e "s: or " o;e the f"%e ;"lue< E=*l"in the o ser;"tion& T e +ond is *ri$ed +elow t e fa$e %al"e. T is is +e$a"se t e $o"*on interest rate is signifi$antly lower t an t e yield to mat"rity, w i$ means t at t e +ond *ays a $o"*on interest t at is lower t an t at re<"ired +y t e market. T "s in%estors a%e to *ay less for t is +ond t an its fa$e %al"e to offset t e lower $o"*on interest. i;3 Use the "**ro"%h "s illustr"te! in the on! *ri%ing wor>sheet ?BP@2A "n! 6e%tion 2&B of 1i* 22..+3: to %o#*ute the settle#ent *ri%e "n! quote! *ri%e of the on!&
;3 Tell us the !ifferen%e etween the settle#ent *ri%e "n! the quote! *ri%e& T e s*reads eet does not deal wit $"m3interest +onds, and en$e t e $al$"lated settlement *ri$e and <"oted *ri$e is wrong.
2& Gener"te " ti#e series of settle#ent "n! quote! *ri%es "s require! $ Pr"%ti%e E=er%ise 5 in the on! *ri%ing wor>sheet ?BP@2A& 1i* 22..+3 6ession 2: !is%ussion question 2DC3 B to E& 1ou #"$ "tte#*t DC B to E with the use of " %"l%ul"tor or E=%el& )ee o%erleaf for answers to <"estion 2 and => B to ?.