On February 9, 2015, Hunter-Gratzner, Inc. issued a 10 year bond (with a typical $1000 face value) that had an annual coupon value of $42.  We will assume that the 2022 coupon has just been redeemed.  Initially (in 2015), the bond was sold at the premium price of $1,037. On February 9, 2022, this bond was selling for $972. The market rate of interest for a riskless corporate bond, of this maturity (i.e., a U.S. Treasury security), was 1.75% on February 9, 2015, which reflected market expectations about future rates of inflation. The market rate of interest for a riskless corporate bond, of this maturity (i.e., a U.S. Treasury security), was 2.05% on February 9, 2022, which reflects market expectations about future rates of inflation. Question: It is now February 9, 2022, and suddenly the Federal Reserve announces a massive program to buy more bonds.  Instantly, the market rate of interest for a riskless corporate bond that would apply to this bond rises from 2.05% to 2.3%.  If there is no change in the risk premium expected for this Hunter-Gratzner, Inc. bond, what will be this bond’s yield to maturity?  [To 2 decimal places.]  Following this, what must be the new selling price for this bond?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 17P
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On February 9, 2015, Hunter-Gratzner, Inc. issued a 10 year bond (with a typical $1000 face value) that had an annual coupon value of $42.  We will assume that the 2022 coupon has just been redeemed. 

  • Initially (in 2015), the bond was sold at the premium price of $1,037.
  • On February 9, 2022, this bond was selling for $972.
  • The market rate of interest for a riskless corporate bond, of this maturity (i.e., a U.S. Treasury security), was 1.75% on February 9, 2015, which reflected market expectations about future rates of inflation.
  • The market rate of interest for a riskless corporate bond, of this maturity (i.e., a U.S. Treasury security), was 2.05% on February 9, 2022, which reflects market expectations about future rates of inflation.

Question: It is now February 9, 2022, and suddenly the Federal Reserve announces a massive program to buy more bonds.  Instantly, the market rate of interest for a riskless corporate bond that would apply to this bond rises from 2.05% to 2.3%.  If there is no change in the risk premium expected for this Hunter-Gratzner, Inc. bond, what will be this bond’s yield to maturity?  [To 2 decimal places.]  Following this, what must be the new selling price for this bond?

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