Tough RX technicals - PJT/EVR SA 2022

My friend got similar questions during a SD and was wondering if someone could help walk me through them: 

1.) Let’s say that I tell you that we have a bond with a YTM of 20%. Ask me some questions to figure out how it’s priced. 

I presume you ask for maturity and coupon rate but how can you feasibly arrive at the price quickly. 

2.) Let’s say we have a company with a $500M term loan trading at par. The company also has three tranches of $500M Senior Notes (all pari with each other and totaling $1.5B in aggregate). One tranche of Senior Notes is trading at 80, the other two are trading at 60. All have a YTM of 20%. What explains how the YTM is the same?

Super lost on this one

2 Comments
 
Most Helpful

I'm just someone prepping RX so this may not be right. 

These questions have to do with the same general idea, and I think they're deceptively simple. Please correct me if I'm wrong.

1. Simple formula for calculating bond price. You can google it but basically its two time value of money formulas added together, 1 for coupon value as an annuity and 1 for the face value's present value. I could try to write it out here but it would look super messy. So the variables you need for this formula are YTMtime to maturityface value (100 ig), and coupon rate. Then you just plug and chug for bond price.

2. Same formula as above, but they want you to work backwards. You factor in the coupon rate (adjusted for time value of money) and the face value (adjusted for TVM) which equals the current bond price, and you solve the equation for YTM since that's your only missing variable. So in this case, we know YTM is the same. We know that current prices are different. We know that face value is the same. The only variables that can be different are Time to Maturity and Coupon Value. I believe that these are your two answers as to how the YTM could be the same.

 

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