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Daniela Ibarra Is

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daniela ibarra is a senior analyst in the fixed-income department of a large wealth manage-ment firm. Marten Koning is a junior analyst in the same department, and david lok is a member of the credit research team.
The firm invests in a variety of bonds. ibarra is presently analyzing a set of bonds with some similar characteristics, such as four years until maturity and a par value of €1,000. exhibit 1 includes details of these bonds.
exhibit 1 a brief description of the bonds being analyzed bond descriptionb1 a zero-coupon, four-year corporate bond with a par value of €1,000. The wealth management firm's research team has estimated that the risk-neutral probability of default (the hazard rate) for each date for the bond is 1.50%, and the recovery rate is 30%.b2 a bond similar to b1, except that it has a fixed annual coupon rate of 6% paid annually.
b3 a bond similar to b2 but rated aa.
b4 a bond similar to b2 but the coupon rate is the one-year benchmark rate plus 4%.ibarra asks Koning to assist her with analyzing the bonds. She wants him to perform the analysis with the assumptions that there is no interest rate volatility and that the government bond yield curve is flat at 3%.ibarra performs the analysis assuming an upward-sloping yield curve and volatile interest rates. exhibit 2 provides the data on annual payment benchmark government bonds.1 She uses these data to construct a binomial interest rate tree (shown in exhibit 3) based on an assump-tion of future interest rate volatility of 20%.
1 For simplicity, this exhibit uses
 EXHIBIT 2 Par Curve for Annual Payment Benchmark Government Bonds  Maturity  Coupon Rate  Price  Discount Factor  Spot Rate  Forward Rate 10.25%1001.0025060.2500%20.75%1000.9850930.7538%1.7677%31.50%1000.9558481.5166%3.0596%42.25%1000.9132252.2953%4.6674%\begin{array}{l}\text { EXHIBIT } 2 \text { Par Curve for Annual Payment Benchmark Government Bonds }\\\begin{array} { l c c c r c } \hline \text { Maturity } & \text { Coupon Rate } & \text { Price } & \text { Discount Factor } & \text { Spot Rate } & \text { Forward Rate } \\\hline 1 & - 0.25 \% & € 100 & 1.002506 & - 0.2500 \% & \\2 & 0.75 \% & € 100 & 0.985093 & 0.7538 \% & 1.7677 \% \\3 & 1.50 \% & € 100 & 0.955848 & 1.5166 \% & 3.0596 \% \\4 & 2.25 \% & € 100 & 0.913225 & 2.2953 \% & 4.6674 \% \\\hline\end{array}\end{array}  The following information relates to Questions  daniela ibarra is a senior analyst in the fixed-income department of a large wealth manage-ment firm. Marten Koning is a junior analyst in the same department, and david lok is a member of the credit research team. The firm invests in a variety of bonds. ibarra is presently analyzing a set of bonds with some similar characteristics, such as four years until maturity and a par value of €1,000. exhibit 1 includes details of these bonds. exhibit 1 a brief description of the bonds being analyzed bond descriptionb1 a zero-coupon, four-year corporate bond with a par value of €1,000. The wealth management firm's research team has estimated that the risk-neutral probability of default (the hazard rate)  for each date for the bond is 1.50%, and the recovery rate is 30%.b2 a bond similar to b1, except that it has a fixed annual coupon rate of 6% paid annually. b3 a bond similar to b2 but rated aa. b4 a bond similar to b2 but the coupon rate is the one-year benchmark rate plus 4%.ibarra asks Koning to assist her with analyzing the bonds. She wants him to perform the analysis with the assumptions that there is no interest rate volatility and that the government bond yield curve is flat at 3%.ibarra performs the analysis assuming an upward-sloping yield curve and volatile interest rates. exhibit 2 provides the data on annual payment benchmark government bonds.1 She uses these data to construct a binomial interest rate tree (shown in exhibit 3)  based on an assump-tion of future interest rate volatility of 20%. 1 For simplicity, this exhibit uses    \begin{array}{l} \text { EXHIBIT } 2 \text { Par Curve for Annual Payment Benchmark Government Bonds }\\ \begin{array} { l c c c r c }  \hline \text { Maturity } & \text { Coupon Rate } & \text { Price } & \text { Discount Factor } & \text { Spot Rate } & \text { Forward Rate } \\ \hline 1 & - 0.25 \% & € 100 & 1.002506 & - 0.2500 \% & \\ 2 & 0.75 \% & € 100 & 0.985093 & 0.7538 \% & 1.7677 \% \\ 3 & 1.50 \% & € 100 & 0.955848 & 1.5166 \% & 3.0596 \% \\ 4 & 2.25 \% & € 100 & 0.913225 & 2.2953 \% & 4.6674 \% \\ \hline \end{array} \end{array}    answer the first five questions (1-4)  based on the assumptions made by Marten Koning,the junior analyst. answer questions (8-12)  based on the assumptions made by daniela ibarra, the senior analyst. Note: all calculations in this problem set are carried out on spreadsheets to preserve reci-sion. The rounded results are reported in the solutions. -in the presentation, lok is asked why the research team chose to use a reduced-form credit model instead of a structural model. Which statement is he likely to make in reply? A)  Structural models are outdated, having been developed in the 1970s; reduced-form models are more modern, having been developed in the 1990s. B)  Structural models are overly complex because they require use of option pricing mod- els, whereas reduced-form models use regression analysis. C)  Structural models require  inside  information known to company management, whereas reduced-form models can use publicly available data on the firm. answer the first five questions (1-4) based on the assumptions made by Marten Koning,the junior analyst. answer questions (8-12) based on the assumptions made by daniela ibarra, the senior analyst.
Note: all calculations in this problem set are carried out on spreadsheets to preserve reci-sion. The rounded results are reported in the solutions.
-in the presentation, lok is asked why the research team chose to use a reduced-form credit model instead of a structural model. Which statement is he likely to make in reply?


Definitions:

Annuity Conditions

Terms that specify how an annuity is to be paid out, including timing, the potential for beneficiaries, and the calculation of payments.

Compounded

The process where the value of an investment increases because the earnings on an investment, both capital and interest, earn interest as time passes.

Future Value

The value of an investment at a specific date in the future, calculated by applying expected rates of return.

Ordinary Annuity

A series of equal payments or receipts that occur at the end of each period for a fixed duration.

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