Assignment 7 finaincal analytics

xlsx

School

University of South Florida, Tampa *

*We aren’t endorsed by this school

Course

3320

Subject

Finance

Date

Feb 20, 2024

Type

xlsx

Pages

17

Uploaded by DoctorGalaxyWildcat25

Report
Outline: Bond Pricing Duration and Convexity Immunization Strategy The Yield Curve - To price a bond and to determine forward rate
Input Time to Maturity 5 This button doesn’t control the length of timeline, be careful Payment Frequency 2 Face Value $ 1,000.00 Coupon Rate 4.00% 400 YTM 3.48% 348 Period Of Maturity 10 Coupon Payment $ 20.00 Period 0 1 2 3 4 Time (Years) 0 0.5 1 1.5 2 CFs $ 20.00 $ 20.00 $ 20.00 $ 20.00 PVs of CFs $19.66 $19.32 $18.99 $18.67 Bond Price $1,023.68 Time to maturity spin button doesn’t control this result, be car Bond Price (function) $1,023.68 It does control this . $1,023.68 Bond Price by YTM 1% 2% 3% Today, a 5-year Treasury Note with a face value of $1,000 a to Maturity (YTM) of 3.48%. This bond makes 2 (semi-annu periods until maturity. What is the price of this T-note? Add Spin Buttons to all the input variables to show how a c Calculate the price using both a timeline and a function. Create a graph to show bond price by YTM. Create a graph to show bond price by Calendar time.
4% 5% 6% 7% 8% Calendar Time Period to Maturity $1,023.68 Bond Price by Calendar time 0 10 0.5 9 1 8 1.5 7 2 6 2.5 5 3 4 3.5 3 4 2 4.5 1 5 0
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
5 6 7 8 9 10 2.5 3 3.5 4 4.5 5 $ 20.00 $ 20.00 $ 20.00 $ 20.00 $ 20.00 $ 1,020.00 $18.35 $18.03 $17.73 $17.42 $17.12 $858.39 reful and an annual coupon rate of 4.00% has a Yield ual) coupon payments per year and thus has 10 change in input variable affects bond price. 0% 1% 2% $- $2.00 $4.00 $6.00 $8.00 $10.00 $12.00 Bond Bond Price 0 $- $2.00 $4.00 $6.00 $8.00 $10.00 $12.00 Bond Price
3% 4% 5% 6% 7% 8% 9% d Price by YTM YTM 1 2 3 4 5 6 Bond Price by Calendar Time Calendar Time
Input Time to Maturity 5 This button doesn’t control the length of timeline, be careful Payment Frequency 2 Face Value 1,000.00 Coupon Rate 4.00% 400 YTM 3.48% 348 Period Of Maturity 10 Coupon Payment $ 20.00 Period 0 1 2 3 4 5 6 Time (Years) 0 0.5 1 1.5 2 2.5 3 CFs $ 20.00 $ 20.00 $ 20.00 $ 20.00 $ 20.00 $ 20.00 PVs of CFs $19.66 $19.32 $18.99 $18.67 $18.35 $18.03 Bond Price $1,023.68 Time to maturity spin button doesn’t control this result, be carefu Bond Price (function) $1,023.68 It does control this . Weight 0.019203 0.018875 0.018552 0.018235 0.017923 0.017616 Weighted*Time 0.009602 0.018875 0.027828 0.03647 0.044807 0.052849 Duration (TimeLIne) 4.59 Duration (Function) 4.59 Modified Duration (Timeline) 4.51 Modified Duration (function 4.51 If interest raten increases by 1%, Bond Price decreases approxima Weight*(Time^2+Time) 0.014402 0.03775 0.06957 0.109409 0.156826 0.211397 Convexity 26.78 Today, a 5-year Treasury Note with a face value of $1,000 and an annual co to Maturity (YTM) of 3.48%. This T-Note makes 2 (semi-annual) coupon pay 10 periods until maturity. What is the Duration, Modified Duration, and Convexity of this bond? Add Spin Buttons to all the input variables to show how a change in input v Calculate duration and convexity using both a timeline and a function.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
Modify Duration + Convexity -4.37%
7 8 9 10 3.5 4 4.5 5 $ 20.00 $ 20.00 $ 20.00 $ 1,020.00 $17.73 $17.42 $17.12 $858.39 ul 0.017315 0.017019 0.016728 0.8385336 0.060603 0.068076 0.075276 4.192668 ately by 4.51% 0.272713 0.34038 0.414016 25.156008 oupon rate of 4.00% has a Yield yments per year and thus has variable affects results.
Time to MaturityPayment freqPeriods Coupon Rate YTM Face Value Bond #1 2 2 4 4.63% 3.88% 1000 Bond #2 5 2 10 4% 3.48% 1000 Liability 3.50% Period 0 1 2 3 4 5 Year 0 0.5 1 1.5 2 2.5 Cf of Liability 0 0 0 0 0 0 PV of CF $0.00 $0.00 $0.00 $0.00 $0.00 Pv of Liability $3,604,570.17 Weight 0 0 0 0 0 Weight*Time 0 0 0 0 0 Duration of Liability 3 Bond 1 CF 49207.53565 49207.5357 49207.5357 2174803.02826 0 Bond 2 CF 28301.52499 28301.525 28301.525 28301.5249857 28301.525 PV of Bond 1 $48,271.08 $47,352.44 $46,451.28 $2,013,916.28 $0.00 PV of Bond 2 $27,817.50 $27,341.75 $26,874.14 $26,414.53 $25,962.78 PV of assets $3,604,570.17 Weight 0.021108918 0.02072208 0.02034235 0.56603997531 0.00720274 Weight*Time 0.010554459 0.02072208 0.03051353 1.13207995062 0.01800685 Duration of assets 2.999999 Diff of PV $0.00 Needs to be 0 Diff of Duration 0.00 Needs to be 0 Suppose that an insurance company sells a guaranteed investment con in 3 years. The company wishes to construct a portfolio of assets to co against interest rate risk right now. The company is considering investing in two bonds: (1) A 2-year Treasury bond with a face value of $1,000 and an annual c (2) A 5-year Treasury bond with a face value of $1,000 and an annual c Both bonds make 2 (semi-annual) coupon payments per year. Thus the maturity, repsectively. How many 2-year and 5-year Treasury Notes should the insurance com immunized against interest rate risk right now?
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
Coupon Payment # of Bonds to Buy 23.15 2125.595492603 20 1415.076249285 6 7 8 9 10 3 3.5 4 4.5 5 4,000,000 0 0 0 0 $3,604,570.17 $0.00 $0.00 $0.00 $0.00 1 0 0 0 0 3 0 0 0 0 0 0 0 0 0 28301.5249857 28301.525 28301.5249857 28301.525 1443377.77427 $0.00 $0.00 $0.00 $0.00 $0.00 $25,518.75 $25,082.32 $24,653.35 $24,231.72 $1,214,682.24 0.007079554897 0.00695848 0.006839470602 0.0067225 0.33698393452 0.021238664691 0.02435467 0.027357882408 0.03025125 1.68491967259 ntract (GIC) to make a $4,000,000 lump-sum payment over this single liability, such that it is immunized coupon rate of 4.63%. Its yield is 3.88%. coupon rate of 4%. Its yield is 3.48%. ey have 4 periods until maturity and 10 periods until mpany buy in order to fully fund the liability and be
Time to maturiuty 5 Date 1 Mo 2 Mo 3 Mo 4 Mo Face Value 1000 10/25/2023 5.56% 5.57% 5.59% 5.61% Coupon Rate 5% Coupon of Payment 25 Period 0 1 2 3 4 5 6 7 Year 0 0.5 1 1.5 2 2.5 3 3.5 CF $ 25.00 $ 25.00 $ 25.00 $ 25.00 $ 25.00 $ 25.00 $ 25.00 Yeild Curve for Rates 5.57% 5.43% 5.26% 5.08% 5.03% 4.98% 4.96% PV of CFS $24.32 $23.70 $23.13 $22.61 $22.08 $21.57 $21.06 Bond Price $1,004.18 Implied Ytm 4.9% Obtain current US Treasury Yield Curve Rates from Department of Treasur website. Create the yield curve graph. Use the yield curve information to price a 5-year bond. Consider a coupon has a face value of $1,000, an annual coupon rate of 5%, makes 2 (semiann coupon payemnts per year, and 10 periods to maturity (5 years to maturity What is price and YTM of this coupon bond? Use the yield curve information to calculate the implied forward rates at al maturities. Add forward rates on the yield curve graph.
6 Mo 1 Yr 2 Yr 3 Yr 5 Yr 7 Yr 10 Yr 20 Yr 30 Yr 5.57% 5.43% 5.08% 4.98% 4.89% 4.98% 4.95% 5.27% 5.09% 8 9 10 4 4.5 5 $ 25.00 $ 25.00 $ 1,025.00 4.94% 4.91% 4.89% $20.57 $20.10 $805.04 ry n bond nual) y). ll
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
Date 1 Mo 2 Mo 3 Mo 4 Mo 6 Mo 1 Yr 10/2/2023 5.56 5.6 5.62 5.62 5.58 5.49 10/3/2023 5.55 5.6 5.62 5.62 5.58 5.49 10/4/2023 5.56 5.58 5.61 5.62 5.57 5.42 10/5/2023 5.57 5.59 5.61 5.62 5.56 5.39 10/6/2023 5.59 5.6 5.63 5.64 5.59 5.43 10/10/2023 5.6 5.61 5.61 5.63 5.57 5.37 10/11/2023 5.58 5.59 5.61 5.63 5.56 5.38 10/12/2023 5.61 5.59 5.63 5.63 5.58 5.43 10/13/2023 5.6 5.58 5.62 5.62 5.57 5.41 10/16/2023 5.57 5.58 5.61 5.63 5.58 5.42 10/17/2023 5.58 5.58 5.62 5.64 5.6 5.48 10/18/2023 5.57 5.56 5.61 5.62 5.58 5.47 10/19/2023 5.58 5.57 5.6 5.62 5.56 5.44 10/20/2023 5.56 5.56 5.58 5.61 5.54 5.41 10/23/2023 5.57 5.57 5.58 5.59 5.56 5.42 10/24/2023 5.57 5.57 5.58 5.6 5.57 5.41 10/25/2023 5.56 5.57 5.59 5.61 5.57 5.43
2 Yr 3 Yr 5 Yr 7 Yr 10 Yr 20 Yr 30 Yr 5.12 4.88 4.72 4.73 4.69 5 4.81 5.15 4.95 4.8 4.84 4.81 5.13 4.95 5.05 4.85 4.72 4.75 4.73 5.05 4.87 5.03 4.82 4.68 4.73 4.72 5.06 4.89 5.08 4.87 4.75 4.79 4.78 5.13 4.95 4.96 4.74 4.62 4.66 4.66 5.03 4.85 4.99 4.73 4.59 4.61 4.58 4.92 4.73 5.06 4.82 4.69 4.73 4.7 5.05 4.86 5.04 4.8 4.65 4.66 4.63 4.97 4.78 5.09 4.87 4.72 4.74 4.71 5.06 4.87 5.19 5.01 4.86 4.88 4.83 5.14 4.94 5.19 5.03 4.92 4.95 4.91 5.2 5 5.14 5.01 4.95 5 4.98 5.3 5.11 5.07 4.93 4.86 4.93 4.93 5.27 5.09 5.05 4.89 4.81 4.87 4.86 5.19 5.01 5.02 4.91 4.82 4.86 4.83 5.15 4.96 5.08 4.98 4.89 4.98 4.95 5.27 5.09
Time to maturiuty 10 Face Value 1000 Date 1 Mo 2 Mo 3 Mo 4 Mo 6 Mo Coupon Rate 4% ### 5.56% 5.57% 5.59% 5.61% 5.57% Coupon of Payment 20 Period 1 2 3 4 5 6 7 8 year 0.5 1 1.5 2 2.5 3 3.5 4 Cf 20 20 20 20 20 20 20 20 Yield of Curve 5.57% 5.43% 5.26% 5.08% 5.03% 4.98% 4.96% 4.94% PV of CFS $19.46 $18.96 $18.50 $18.09 $17.66 $17.26 $16.85 $16.46 Bond Price $925.56 Implied Ytm 5%
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
1 Yr 2 Yr 3 Yr 5 Yr 7 Yr 10 Yr 20 Yr 30 Yr 5.43% 5.08% 4.98% 4.89% 4.98% 4.95% 5.27% 5.09% 9 10 11 12 13 14 15 16 17 18 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 20 20 20 20 20 20 20 20 20 20 4.91% 4.89% 4.91% 4.94% 4.96% 4.98% 4.92% 4.94% 4.97% 4.95% $16.08 $15.71 $15.31 $14.93 $14.55 $14.17 $13.89 $13.53 $13.18 $12.88
19 20 9.5 10 20 1020 4.95% 4.95% $12.57 $625.52