Action Items: As you can see, rates on the one-month U.S. Treasury bill are provided for each
Question:
Action Items:
As you can see, rates on the one-month U.S. Treasury bill are provided for each business day from July 31, 2001 to the present. For this assignment you are asked to pick a business date five years ago this month. (For example, in January 2012 I would pick a business date in January 2007.)
Then, using this row and the subsequent rows below it under "Treasury Constant Maturities" determine the shape of the yield curve (See Figure 6.11in the textbook for examples of Treasury yield curves) on that date five years ago based on the rates published by the Fed by completing the table below for the listed Treasury maturities (see example below):
"5-year look back business date" to complete the assignment.
May 13, 2015 (Five Year-Look Back Date)
5/13/2019
2.41
2.41
2.42
2.32
2.18
2.15
2.18
2.28
2.4
2.65
2.83
: To calculate the PV of the bond, use May 11, 2020 for the current 5-Year YTM (yield to maturity) and current 15 year YTM rate.
5/11/2020
0.09
0.12
0.16
0.16
0.17
0.24
0.36
0.56
0.73
1.16
1.43
Business Date Chosen Five Years Ago
1-month Nominal T-bill Rate on that Date
3-month Nominal T-bill Rate on that Date
6-month Nominal T-bill Rate on that Date
1-year Nominal T-note Rate on that Date
5-year Nominal T-note Rate on that Date
10-year Nominal T-note Rate on that Date
20-year Nominal T-bond Rate on that Date
30-year Nominal T-bond Rate on that Date
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.
- Complete the following tables
10-Year Bond Purchased for $1000 5 Years Ago
Original Value
$1000
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)
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)
Number of Semi-Annual Periods Remaining
10
Current Value*
Gain or Loss on the Bond over the 5 years
20-Year Bond Purchased for $1000 5 Years Ago
Original Value
$1000
Coupon Rate (From table you completed above at the chosen date from 5 years ago, the original 20-year Nominal T-bond Rate divided by 2 for semi-annual payments)
Current 15-Year Yield to Maturity (Take the average of the most recent 10- and 20-year Nominal T-bond Rates reported at the Fed site, and then divide this average rate by 2 for semi-annual payments)
Number of Semi-Annual Periods Remaining
30
Current Value*
Gain or Loss on the Bond over the 5 years
*Current Value = PVBond= Coupon Payment+
b) Did you gain or lose more on one bond relative to the other? Explain.