A bank has issued a bond on April 1st 2020 which pays coupons at a rate of 3% of the nominal value twice a year in arrears. Coupon payments are due on 1st April and 1st October and the bond is redeemable at 110% of nominal on Ist September 2030. (a) An investor purchases the bond on 1st March 2021. Show that the price of the bond is approximately £76 per £100 nominal assuming a gross redemption yield of 7%. (b) The investor pays income tax at 40%. In addition, assume that the inflation rate is constant at 1.5%. Calculate the investor's net real rate of return assuming she holds the bond until maturity. State any approximations made.
A bank has issued a bond on April 1st 2020 which pays coupons at a rate of 3% of the nominal value twice a year in arrears. Coupon payments are due on 1st April and 1st October and the bond is redeemable at 110% of nominal on Ist September 2030. (a) An investor purchases the bond on 1st March 2021. Show that the price of the bond is approximately £76 per £100 nominal assuming a gross redemption yield of 7%. (b) The investor pays income tax at 40%. In addition, assume that the inflation rate is constant at 1.5%. Calculate the investor's net real rate of return assuming she holds the bond until maturity. State any approximations made.
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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![A bank has issued a bond on April 1st 2020 which pays
coupons at a rate of 3% of the nominal value twice a year in arrears. Coupon payments
are due on 1st April and Ist October and the bond is redeemable at 110% of nominal
on Ist September 2030.
(a) An investor purchases the bond on 1st March 2021. Show that the price of the
bond is approximately £76 per £100 nominal assuming a gross redemption yield
of 7%.
(b) The investor pays income tax at 40%. In addition, assume that the inflation rate
is constant at 1.5%. Calculate the investor's net real rate of return assuming she
holds the bond until maturity. State any approximations made.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcda051ff-7f81-417f-9026-69c98ea0fcd8%2Ff8789f9d-0a4a-41ff-badc-5304b62c0317%2Frztdpx9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A bank has issued a bond on April 1st 2020 which pays
coupons at a rate of 3% of the nominal value twice a year in arrears. Coupon payments
are due on 1st April and Ist October and the bond is redeemable at 110% of nominal
on Ist September 2030.
(a) An investor purchases the bond on 1st March 2021. Show that the price of the
bond is approximately £76 per £100 nominal assuming a gross redemption yield
of 7%.
(b) The investor pays income tax at 40%. In addition, assume that the inflation rate
is constant at 1.5%. Calculate the investor's net real rate of return assuming she
holds the bond until maturity. State any approximations made.
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