Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Suppose you are to invest $100 into Bond A, which can default with 9% probability. If it defaults, you lose your initial investment. Otherwise,

 

Suppose you are to invest $100 into Bond A, which can default with 9% probability. If it defaults, you lose your initial investment. Otherwise, you return your $100 notional and a $10 coupon. Calculate Bond A's 5% and 10% VaR and Expected Shortfall. Now consider you are to invest $400 into equally weighed portfolio of Bonds B, C, D and E, which are all identical to Bond A, and are in- dependent. Calculate 5% and 10% VaR and Expected Shortfall of the portfolio. Do VaR and ES satisfy the sub-additivity property in this example? Explain your answer. Now consider you are to invest $200 into the First-to-Default derivative contract, where bonds B and C are the underlying assets. If at least one of the underlying bonds defaults, the FTD defaults as well, and you lose your initial investment. Otherwise, you return your $200 notional and a $50 coupon. Calculate 5% and 10% VaR and Expected Shortfall of FTD. Now consider you are to invest $400 into the portfolio of two FTDs, identical to the contract described in (c). You may assume, that they are independent. Calculate 5% and 10% VaR and Expected Shortfall of the portfolio. Conclude, if the portfolio in (b) is more or less risky than the portfolio in (d).

Step by Step Solution

3.35 Rating (155 Votes )

There are 3 Steps involved in it

Step: 1

a Bond As 5 VaR is 0 and its 10 VaR is 100 The expected shortfall can be calculated as follows Expec... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

A First Course In Probability

Authors: Sheldon Ross

9th Edition

978-9332519077, 9332519072

More Books

Students also viewed these Accounting questions