Problem 3. David borrows an amount at an annual effective interest rate of 7.25% and will repay all interest and principal in a lump sum at the end of 12 years. He uses the amount borrowed to purchase a 10-year semiannual coupon bond with face amount of $1,000. The bond has a nominal coupon rate of 10% and a nominal yield to maturity of 8% both convertible semiannually. All coupon payments and the redemption amount are reinvested at an annual effective interest rate of 6%. The redemption amount is paid at the end of the maturity date. Calculate the redemption amount needed such that David is just able to repay the loan.
Problem 3. David borrows an amount at an annual effective interest rate of 7.25% and will repay all interest and principal in a lump sum at the end of 12 years. He uses the amount borrowed to purchase a 10-year semiannual coupon bond with face amount of $1,000. The bond has a nominal coupon rate of 10% and a nominal yield to maturity of 8% both convertible semiannually. All coupon payments and the redemption amount are reinvested at an annual effective interest rate of 6%. The redemption amount is paid at the end of the maturity date. Calculate the redemption amount needed such that David is just able to repay the loan.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Transcribed Image Text:Problem 3. David borrows an amount at an annual effective interest rate of 7.25%
and will repay all interest and principal in a lump sum at the end of 12 years. He
uses the amount borrowed to purchase a 10-year semiannual coupon bond with face
amount of $1,000. The bond has a nominal coupon rate of 10% and a nominal
yield to maturity of 8% both convertible semiannually. All coupon payments and
the redemption amount are reinvested at an annual effective interest rate of 6%. The
redemption amount is paid at the end of the maturity date. Calculate the redemption
amount needed such that David is just able to repay the loan.
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