An investor wishes to invest $200,000 in bonds that mature in 4 years Question 3. and earn a yield to maturity of at least 3% per year. Currently she can buy 4 year treasury bonds at $102 per bond that have a yield to maturity of 2%. She decides to also buy some 4 year corporate bonds at $90 per bond that have a yield to maturity of 4%. Find the four year growth factor for each type of investment and derive the equations that must hold if her portfolio has the desired yield to maturity, How many corporate bonds, and how many 4 year treasuries, should she buy to ensure this? Give an answer in integers. Then determine how much of each type of bond she buys and what the total cost actually is. What will be the actual value of this portfolio after 4 years and what is the actual annual yield?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 16P
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An investor wishes to invest $200,000 in bonds that mature in 4 years
Question 3.
and earn a yield to maturity of at least 3% per year. Currently she can buy 4 year treasury
bonds at $102 per bond that have a yield to maturity of 2%. She decides to also buy some
4 year corporate bonds at $90 per bond that have a yield to maturity of 4%. Find the four
year growth factor for each type of investment and derive the equations that must hold if
her portfolio has the desired yield to maturity,
How many corporate bonds, and how many 4 year treasuries, should she buy to
ensure this? Give an answer in integers. Then determine how much of each type of bond
she buys and what the total cost actually is. What will be the actual value of this portfolio
after 4 years and what is the actual annual yield?
Transcribed Image Text:An investor wishes to invest $200,000 in bonds that mature in 4 years Question 3. and earn a yield to maturity of at least 3% per year. Currently she can buy 4 year treasury bonds at $102 per bond that have a yield to maturity of 2%. She decides to also buy some 4 year corporate bonds at $90 per bond that have a yield to maturity of 4%. Find the four year growth factor for each type of investment and derive the equations that must hold if her portfolio has the desired yield to maturity, How many corporate bonds, and how many 4 year treasuries, should she buy to ensure this? Give an answer in integers. Then determine how much of each type of bond she buys and what the total cost actually is. What will be the actual value of this portfolio after 4 years and what is the actual annual yield?
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