Based on Exhibits 4 and 7, the present value of Bond Ds cash flows following Path 2

Question:

Based on Exhibits 4 and 7, the present value of Bond D’s cash flows following Path 2 i  closest to:

A. 97.0322.

B. 102.8607.

C. 105.8607.


Meredith Alvarez is a junior fixed-income analyst with Canzim Asset Management. Her supervisor, Stephanie Hartson, asks AlvarezA to review the asset price and payoff data shown in Exhibit 1 to determine whether an arbitrage opportunity exists.EXHIBIT 1 Price and Payoffs for Two Risk-Free Assets Price Today $500 $1,000 Asset Asset A Asset B Payoff in

Hartson also shows Alvarez data for a bond that trades in three different markets in the same currency. These data appear in Exhibit 2.EXHIBIT 2 2% Coupon, Five-Year Maturity, Annual Pay Bond New York Hong Kong 2.3% Yield-to-Maturity 1.9%

Hartson asks Alvarez to value two bonds (Bond C and Bond D) using the binomial tree in Exhibit 3. Exhibit 4 presents selected data for both bonds.EXHIBIT 3 Binomial Interest Rate Tree with Volatility = 25% Time 0 Time 1 Time 2 2.7183% 1.500% 2.8853%

EXHIBIT 4 Selected Data on Annual Pay Bonds Maturity 2 years 3 years Bond Bond C Bond D Coupon Rate 2.5% 3.0%

Hartson tells Alvarez that she and her peers have been debating various viewpoints regarding the conditions underlying binomial interest rate trees. The following statements were made in the course of the debate.Statement 1: The only requirements needed to create a binomial interest rate tree are current benchmark

Based on data in Exhibit 5, Hartson asks Alvarez to calibrate a binomial interest rate tree starting with the calculation of implied forward rates shown in Exhibit 6.EXHIBIT 5 Selected Data for a Binomial Interest Rate Tree Maturity Spot Rate 1 2.5000% 2 3.5177% Par Rate

Hartson mentions pathwise valuations as another method to value bonds using a binomial interest rate tree. Using the binomial interest rate tree in Exhibit 3, Alvarez calculates the possible interest rate paths for Bond D shown in Exhibit 7.EXHIBIT 7 Interest Rate Paths for Bond D Time 0 1.500% Path 1 2 3 4 1.500 1.500 1.500 Time 1 2.8853% 2.8853

Before leaving for the day, Hartson asks Alvarez about the value of using the Monte Carlo method to simulate a large number of potential interest rate paths to value a bond. Alvarez makes the following statements.Statement 4: Increasing the number of paths increases the estimate's statistical accuracy. Statement 5: The

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Fixed Income Analysis

ISBN: 9781119850540

5th Edition

Authors: Barbara S. Petitt

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