Question #14

Reading: Reading 28 Credit Analysis Models

PDF File: Reading 28 Credit Analysis Models.pdf

Page: 6

Status: Incorrect

Correct Answer: A

Your Answer: B

Part of Context Group: Q14-17 First in Group
Shared Context
of 36 To analyze the credit risk of a company with significant off-balance sheet liabilities, which credit model is most appropriate? A) Econometric model. B) Reduced form model. C) Structural model. Philip Bagundang, CFA, is an experienced analyst working for the corporate credit department of a global investment bank. Bagundang is evaluating the proposed two-year, zero coupon, £100 par Shumensko bond. Using a 2% probability of default assumption, Bagundang calculates the CVA on the bond to be £1.820. Two-year, risk-free zero-coupon bonds currently yield 0.8%. Bagundang is evaluating a three-year, zero-coupon bond issued by Alligator, Inc. Using a hazard rate of 2% and estimated recovery rate of 70%, and a flat 2.5% benchmark yield curve, a partial table of analysis is completed as shown in Exhibit 1. Exhibit 1: Alligator, Inc. Bond Year Exposure Loss given default Probability of survival Probability of default Expected loss 1 95.18 28.55 98.00% 2.00% 0.5711 2 3 100.00 30.00 94.12% Bagundang asks his assistant, Diane Monera, to summarize how structural models can be viewed as options on the firm's assets. Monera states that shareholders have limited liability and can, therefore, be viewed as having a long call option on the firm's assets with a strike price equal to the par value of debt. In addition, she adds, debtholders can be viewed as having a long position in a risk-free zero-coupon bond and a position in another instrument she can't quite remember. Finally, Bagundang asks Monera to prepare a short summary table of structural versus reduced form models. Exhibit 2 shows her summary. Exhibit 2: Structural vs. Reduced Form Models Structural Reduced Form Default risk Parameter estimation Exogenous Option pricing theory Endogenous Default intensity
Question
Based on Exhibit 1, and the stated risk-free rate on two-year zero-coupon bonds, the credit spread on the Shumensko bond is closest to:
Answer Choices:
A. 0.12%
B. 0.18%
C. 0.95%
Explanation
The credit valuation adjustment is the difference between the value of a risky bond and the equivalent risk-free bond (VND). A two-year risk free bond with a face value of £100 and a yield-to-maturity of 0.8% would have a present value of £98.42. The CVA on the Shumensko bond is £1.820 per £100 par value. Bond value = VND – CVA = 98.42 – 1.82 = £96.60 Using TVM Keys: N = 2; PMT = 0; FV = 100; PV = –96.60; CPT I/Y = ? = 1.75% The credit spread is the difference between this value and the YTM of the equivalent risk- free bond (0.8%) = 0.95%.
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