[HW 2.2a] About Bonds

1.   Corporates

Today, you bought an IBM 10 year non-callable bond that pays a 7% coupon.  Interest payments are semiannual.  You bought it a 8.5% yield.  How much did you pay? Interest is paid on March 15 and September 15. Use an Actual/365 day count convention.

Later the same day, IBM misses earnings.  The yield on your bond rises to 9%.  What’s it worth now?

Hint: use XIRR.

2.   Sovereigns

In the wake of Argentina’s most recent default, you buy their sovereign bonds that were selling for 12 cents on the dollar.  Assuming these were 8% coupons, 20 year, US dollar denominated bonds, what yield does that imply if the bonds were to be redeemed at full value?

The bondholders as a group agree to take a 30% haircut.  What yield does that imply?

(You may want to peruse this page on Wikipedia).

Hint: use XIRR.


3.   Municipals

Goldman is selling Albany, New York’s 10 year general obligation bonds at par, at a of 2.25% yield to an investor with a 35% tax rate.  What is the taxable equivalent yield?  The issuer pays interest quarterly.

Hint: this one has nothing to do with XIRR.


4.   Other

  • Show the US yield curve. Do the same for three to five other countries.  Turn in a single page, showing both data and a graph.
  • For one country, show the yield curve from today, a month ago, three months ago, and a year ago. If you cannot find this data, choose another country. Turn in a single page, showing both data and a graph.
  • In the US, prepare or find on the internet a table summarizing credit spreads. For the various credit ratings (AAA, AA, A, etc,) show the max and min credit spreads.





  1. Does a haircut affect both the face value of a bond and therefore the interest it pays annually?


  2. barroyo2015 · · Reply

    In Slide 124 from class today, did you calculate interest by multiplying the coupon rate * the number of years to maturity? (3.8%*5years=19)

    Liked by 1 person

    1. Interest would be $1,000 times 3.8%, which is $38 per year. Since the payments are semiannual, that would equate to $19 per coupon.


  3. A haircut would be on the outstanding balance… Instead of owing x, you only have to repay 70% of x.


  4. If XIRR gives us a rate, what does this number tell us in terms of questions 1 and 2? Does this tell us the worth? Or is it an approximation for the yield to double check our cashflow value?


    1. The XIRR gives you a yield. In bond-speak, it would be a “yield to maturity”, if you’re considering the cashflows over the whole remaining maturity of the bond. You could also use it to calculate a “yield to call” if you’re assuming that the bond gets called away at some point in the future.


  5. For 1 and 2, can I assume that I buy bond in between 1st and 2nd payment periods? Because if I were to buy it before the 1st payment period, my YTM would be just my coupon?

    What if our YTM is higher than out coupon –> is it a good signal?


    1. For 1, it says you bought it today.
      For 2, why don’t you make the same assumption.


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