Market Value of a Bond (CDS topic)

Hi there, I’m currently in doubt concerning an exercise on Schweser Fixed Income Book (Quiz 38.3, from an old book, might not be available anymore…

Im gonna try reproduce the question here:

Notional = $10million
Cheapest to Deliver bond in the market is a 5-year 5% senior unsecured bond, trading at 40% of par.

The issuer files for bankruptcy 6months after the inception of the swap.
Other data: Credit spread = 4.5%
Duration = 4
The CDS is a 5 year , 5% coupon

The question here asks if the buyer would choose physical or cash settlement.

For the cash option, I arrived at a payoff of 6mi
But I’m having issues in calculating the bond market price…the answer says it’s 4.5mi, but isnt the bond trading at 40% par? Shouldn’t the correct answer be 4mi?

I appreciate if anyone could help me on this.

Thank you so much for the attention!

Is there more information?

Often in these questions
the person owns one bond trading at say 45% of par.
The CtD trades at a different % of par say 40% of par

Here it is better to settle for cash.
Receive cash settlement (1 - 40%) = $6m
Sell bond they own for $4.5m
Total proceeds = $10.5m

If physicially settle would hand over bond help and receive $10m

Hi!
Thank you so much for your response!

I have the info that the underlying bond’s YTM is 6.5% and that the LIBOR yield curve is flat at 2%, implying a credit spread of 4.5%. The bond is $10mi par value, 6% 10-year senior unsecured bond

So how would I arrive at a market price bond of 4.5mi?.

Thank you so much for the attention!

I have no idea.
Can you post the whole question and answer.

Hi!
Sure thing. I took pictures as I dont own the pdfs anymore

I am specifically referring to Question 3

Thank you for the attention

Question 3 tells you to use figure 1 for the values.

It uses the format and approach as I explained in my first reply.

You can’t work out the % par from the information you are trying to use as that is prior to bancrupcy but q3 tells you to use the information in figure 1 post bancrupcy.

I would suggest always posting questions on here with full question you are looking at as there is often information that is required.

I see! That is because the bond is now 9.5y bond right?

So we use the market value of 45% par value…

I see! Thank you so much for the answer