What is the price of a three-years to maturity risky bond that pays 3% annual coupon if the callable at face value (assuming a face value of $100)? What is the dollar value of the embedded call option? Note: An identical bond is currently trading with an OAS of 200 bps, and your analysis of inte suggest that the proportional standard deviation of interest rates is 20%.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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2. Price of a Risky Callable Bond
US Treasury Strips BVAL Cur
97) Actions
98 Table
99) Settings-
PCS BVAL
Graph Curves
X-Axis
Tenor
Y-Axis Yield
Currency
Lower Chart Table
Specific mm/dd/yy
Relative
Last
1D
1W
1M Modify
Curves & Relative Value
• BIS65 US Treasury Strips BVAL Curve Last (Bid)
2.50-
2.00-
1.50-
1.00-
0.50-
2Y
3Y
4Y
SY
6Y
7Y
BY
10Y
15Y
20Y
25Y
30Y
Tenor
3) Show Key Tenors <
Curve Id
3H
1Y
ZY
3Y
4Y
5Y
7Y
BY
10Y
15Y
20Y
25Y
30Y
n EI S65
0428
0478
0.581
1.006
1.187
1363
1670
1790
1893
1.981
2302
2.539
ע 27
2779
Tenor (yr)
Spot Rate
1
0.58%
2
0.80%
3
1.01%
4
1.19%
5
1.36%
7
1.67%
8
1.79%
9.
1.89%
10
1.98%
Yield (Bid Conventional 8)
Transcribed Image Text:2. Price of a Risky Callable Bond US Treasury Strips BVAL Cur 97) Actions 98 Table 99) Settings- PCS BVAL Graph Curves X-Axis Tenor Y-Axis Yield Currency Lower Chart Table Specific mm/dd/yy Relative Last 1D 1W 1M Modify Curves & Relative Value • BIS65 US Treasury Strips BVAL Curve Last (Bid) 2.50- 2.00- 1.50- 1.00- 0.50- 2Y 3Y 4Y SY 6Y 7Y BY 10Y 15Y 20Y 25Y 30Y Tenor 3) Show Key Tenors < Curve Id 3H 1Y ZY 3Y 4Y 5Y 7Y BY 10Y 15Y 20Y 25Y 30Y n EI S65 0428 0478 0.581 1.006 1.187 1363 1670 1790 1893 1.981 2302 2.539 ע 27 2779 Tenor (yr) Spot Rate 1 0.58% 2 0.80% 3 1.01% 4 1.19% 5 1.36% 7 1.67% 8 1.79% 9. 1.89% 10 1.98% Yield (Bid Conventional 8)
What is the price of a three-years to maturity risky bond that pays 3% annual coupon if the bond is
callable at face value (assuming a face value of $100)?
What is the dollar value of the embedded call option?
Note: An identical bond is currently trading with an OAS of 200 bps, and your analysis of interest rates
suggest that the proportional standard deviation of interest rates is 20%.
Transcribed Image Text:What is the price of a three-years to maturity risky bond that pays 3% annual coupon if the bond is callable at face value (assuming a face value of $100)? What is the dollar value of the embedded call option? Note: An identical bond is currently trading with an OAS of 200 bps, and your analysis of interest rates suggest that the proportional standard deviation of interest rates is 20%.
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