Question
Business Date Chosen Five Years Ago 10.2010 1-month Nominal T-bill Rate on that Date 0.13% 3-month Nominal T-bill Rate on that Date 0.14% 6-month Nominal
Business Date Chosen Five Years Ago
10.2010
1-month Nominal T-bill Rate on that Date
0.13%
3-month Nominal T-bill Rate on that Date
0.14%
6-month Nominal T-bill Rate on that Date
0.18%
1-year Nominal T-note Rate on that Date
0.23%
5-year Nominal T-note Rate on that Date
1.20%
10-year Nominal T-note Rate on that Date
2.59%
20-year Nominal T-bond Rate on that Date
3.56%
30-year Nominal T-bond Rate on that Date
3.91%
Current 5 year rate 3%
Current 10 year rate 4%
Answer the following questions:
- On your selected date was the yield curve rising, falling, or flat? What explanation(s) would you give for this shape?
- Assume that two U.S. Treasury securities were purchased at par ($1000) on your selected date five years ago: 1) a 10-year T-note and 2) a 20-year T-bond. Also assume that for each of the two securities the reported nominal rate that you found above was the coupon rate at issuance.
Assuming semi-annual coupon payments, calculate the value of each bond today after 5 years based on the current 5-year Treasury constant maturity nominal rate for the original 10-year note and a current 15-year rate (assume it is the average of the current Treasury constant maturity nominal 10- and 20-year rates) for the original 20-year bond at http://www.federalreserve.gov/releases/h15/data.htm.
10-Year Bond Purchased for $1000 5 Years Ago
Original Value
$1000. (FV)
Coupon Rate (From table you completed above at the chosen date from 5 years ago, the original 10-year Nominal T-bond Rate divided by 2 for semi-annual payments)
PMT
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)
i
Number of Semi-Annual Periods Remaining
10 n
Current Value*
PV (What you're looking for)
Gain or Loss on the Bond over the 5 years
PV - FV
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