Question
Assume today is June 20, 2011. I go back 5 years to 6/20/2006 and find the following rates (Should the date you choose not be
Assume today is June 20, 2011. I go back 5 years to 6/20/2006 and find the following rates (Should the date you choose not be a business day on any of these past dates then pick the rate on the next business day):
Business Date Chosen Five Years Ago
6/20/2006
1-month Nominal T-bill Rate on that Date
4.70%
3-month Nominal T-bill Rate on that Date
4.92%
6-month Nominal T-bill Rate on that Date
5.24%
1-year Nominal T-note Rate on that Date
5.23%
5-year Nominal T-note Rate on that Date
5.13%
10-year Nominal T-note Rate on that Date
5.15%
20-year Nominal T-bond Rate on that Date
5.33%
30-year Nominal T-bond Rate on that Date
5.19%
a)Complete the following tables (see example below):
10-Year Bond Purchased for $1000 5 Years Ago
Original Value
$1000
Coupon Rate (From table above at the chosen date from 5 years ago, the original 10-year Nominal T-bond Rate divided by 2 for semi-annual payments)
5.15%/2 = 2.575%
Current 5-Year Yield to Maturity (The most recent 5-year Nominal T-note Rate reported at the Fed site divided by 2 for semi-annual payments)
1.55%/2 = 0.775%
Number of Semi-Annual Periods Remaining
10
Current Value*
See below.
Gain or Loss on the Bond over the 5 years
See below.
*Current Value = PVBond = Coupon Payment +
PVB =
= $25.75[9.58663801] + $1000[0.92570356]= $246.86 + $925.70= $1,172.56
I compare this value with the initial investment of $1000 at par.
20-Year Bond Purchased for $1000 5 Years Ago
Original Value
$1000
Coupon Rate (From table above at the chosen date from 5 years ago, the original 20-year Nominal T-bond Rate divided by 2 for semi-annual payments)
5.33%/2 = 2.665%
Current 15-Year Yield to Maturity (Take theaverage of the most recent 10- and 20-year Nominal T-bondRates reported at the Fed site, and then divide this average rate by 2 for semi-annual payments)
15 year average: (2.97% + 3.99%)/2= 3.48%
Semi-annual: 3.48%/2 = 1.74%
Number of Semi-Annual Periods Remaining
30
Current Value*
See below.
Gain or Loss on the Bond over the 5 years
See below.
*Current Value = PVBond = Coupon Payment +
PVB =
= $26.65[23.21825346] + $1000[0.59600239]= $618.77 + $596.00= $1,214.77
I compare this value with the initial investment of $1000 at par.
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