Consider the following table with Treasury Yield Rates: Time to Maturity Yield Rate (continuously compounded) 3 months 0.14% 6 months 0.19% 1 year 2 years 3 years 0.25% 0.51% 0.75% 5 years 7 years 10 years 30 years 1.41% 2.02% 2.57% 3.63% Use the data provided to build the yield curve using the cubic spline model.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
Problem 14P
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Problem 3
Consider the following table with Treasury Yield Rates:
Time to Maturity
Yield Rate (continuously compounded)
3 months
0.14%
6 months
0.19%
1 year
2 years
0.25%
0.51%
3 years
0.75%
5 years
7 years
10 years
1.41%
2.02%
2.57%
30 years
3.63%
Use the data provided to build the yield curve using the cubic spline model.
п-1
R(0, t) = a + b(t – t,) + c(t – t,)² +
dr(t – tx)?
where (t, – tx)+ = max{t – tg, 0}
Transcribed Image Text:Problem 3 Consider the following table with Treasury Yield Rates: Time to Maturity Yield Rate (continuously compounded) 3 months 0.14% 6 months 0.19% 1 year 2 years 0.25% 0.51% 3 years 0.75% 5 years 7 years 10 years 1.41% 2.02% 2.57% 30 years 3.63% Use the data provided to build the yield curve using the cubic spline model. п-1 R(0, t) = a + b(t – t,) + c(t – t,)² + dr(t – tx)? where (t, – tx)+ = max{t – tg, 0}
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