Albert purchased a bond with exactly 20 years to redemption. The bond pays annual coupons, in arrears, of 5% per annum and is redeemed at par. Albert, who is not liable to pay tax, will obtain a gross redemption yield of 6% per annum if he holds the bond utill redemption. Calculate the purchase price Albert paid for the bond, per $100 nominal if his intention was to hold the bond utill redemption. After exactly ten years, immediately after receiving payment of the coupon then due, Albert sells the bond to Vicky who is liable to pay income tax and capital gains tax at a rate of 30%. The bond is purchased by Vicky to provide a net rate of return of 6.5% per annum.

Individual Income Taxes
43rd Edition
ISBN:9780357109731
Author:Hoffman
Publisher:Hoffman
Chapter4: Gross Income: Concepts And Inclusions
Section: Chapter Questions
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Albert purchased a bond with exactly 20 years to redemption. The
bond pays annual coupons, in arrears, of 5% per annum and is
redeemed at par. Albert, who is not liable to pay tax, will obtain a
gross redemption yield of 6% per annum if he holds the bond utill
redemption.
(a)
Calculate the purchase price Albert paid for the bond, per $100
nominal if his intention was to hold the bond utill redemption.
(b)
After exactly ten years, immediately after receiving payment of the
coupon then due, Albert sells the bond to Vicky who is liable to pay
income tax and capital gains tax at a rate of 30%. The bond is
purchased by Vicky to provide a net rate of return of 6.5% per
annum.
(i)
Calculate the price Vicky paid for the bond, per $100 nominal.
(ii) Using trial-and-error followed by linear interpolation, calculate the
annual effective rate of return, correct to 4 decimal places, earned
by Albert during the period for which he held the bond.
Transcribed Image Text:Albert purchased a bond with exactly 20 years to redemption. The bond pays annual coupons, in arrears, of 5% per annum and is redeemed at par. Albert, who is not liable to pay tax, will obtain a gross redemption yield of 6% per annum if he holds the bond utill redemption. (a) Calculate the purchase price Albert paid for the bond, per $100 nominal if his intention was to hold the bond utill redemption. (b) After exactly ten years, immediately after receiving payment of the coupon then due, Albert sells the bond to Vicky who is liable to pay income tax and capital gains tax at a rate of 30%. The bond is purchased by Vicky to provide a net rate of return of 6.5% per annum. (i) Calculate the price Vicky paid for the bond, per $100 nominal. (ii) Using trial-and-error followed by linear interpolation, calculate the annual effective rate of return, correct to 4 decimal places, earned by Albert during the period for which he held the bond.
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