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 bond that has a face value of $4,000 and coupon rate of 3.60% payable semi-annually was redeemable on July 1, 2021. Calculate the purchase price of the bond on February 10, 2015 when the yield was 3.85% compounded semi-annually.
8990 Holdings, Inc. issued a bond on July 16, 2016 that matures in October 16, 2020. This means that the term of the bond is 5 years. Coupon payments will be made every quarter with a rate of 6.21% per annum. Assume that the face value is ₱10,000 and investor have required rate of return of 10%. The coupon payment per quarter would be?
David Palmer identified the following bonds for investment: BondA: A$1millionpar,10%annualcouponbond,whichwillmature on July 1, 2025. Bond B: A $1 million par, 14% semi-annual coupon bond (interest will be paid on January 1 and July 1 each year), which will mature on July 1, 2031. Bond C: A $1 million par, 10% quarterly coupon bond (interest will be paid on January 1, April 1, July 1, and October 1 each year), which will mature on July 1, 2026. The three bonds were issued on July 1, 2011. (a) If Bond B is issued at face value and both Bond B and Bond A are having the same yield to maturity (EAR), calculate the market price of Bond A on July 1, 2011. [N ote: Full mark would only be given to correct answer of which the values of those variables not provided in the question directly are derived.] (b） David purchased the Bond C on January 1, 2014 when Bond C was priced to have a yield to maturity (EAR) of 10.3812891%. David subsequently sold Bond C on January 1, 2016…
A New Brunswick Power bond issue carrying a 7.6% coupon matures on November 1, 2031. At what price did $1,000 face value bonds trade on June 10, 2019, if the yield to maturity required by the bond market on that date was 5.9% compounded semiannually?
An investor sold a bond issued by PQR Corporation with nominal yield of 2% and maturity of June 30, 2027 on June 30, 2020. If the yield on US Treasury Bonds was 1.5210% and the spread for PQR was 200 basis points, the trading price was ? (round to two decimal points).
A bond with 6 years left to maturity is trading for $975. It pays coupons semiannually. Its YTM is currently 3.5%. The coupon rate for this bond must be ________%.
A callable bond has face value £100, coupon rate 10% paid semi-annually and maturity 15 years. The bond can be redeemed at any time after year 4 at call price £124. If the interest rate after year 4 is 7%, explain whether the issuer will exercise the call option to redeem the bond
David Palmer identified the following bonds for investment: 1. 1) Bond A: A $1 million par, 10% annual coupon bond, which will mature on July 1, 2025. 2. 2) Bond B: A $1 million par, 14% semi-annual coupon bond (interest will be paid on January 1 and July 1 each year), which will mature on July 1, 2031. 3. 3) Bond C: A S1 million par, 10% quarterly coupon bond (interest will be paid on January 1, April 1, July 1, and October 1 each year), which will mature on July 1, 2026. The three bonds were issued on July 1, 2011. (a) If Bond B is issued at face value and both Bond Band Bond A are having the same yield to maturity (EAR) at issuance, calculate the market price of Bond A on July 1, 2011.
One of the categories of options available to investors and speculators is LEPOs. Assuming 7.00 per cent margin, what would be the percentage return and dollar profit to an investor who purchased one LEPO (for 1000 shares) for a premium of $26 220 and later closed out the position when the LEPO premium was $28 430?
An index-linked bond of £28,000 nominal was issued on 1st Apr 2017 and it was repaid at 106% on 1st Apr 2018. Interest on the bond was payable quarter-yearly in arrears (i.e. in Jan, Apr, Jul, and Oct) at a rate of 4.5% per annum. An investor liable to income tax at a rate of 30% has purchased the bond at issue and held it to redemption. Interest and capital payments were indexed by reference to the value of an inflation index with a time lag of 6 months. The value of the inflation indexes at various dates during the term of the loan were as follows: Inflation indexes for 2016-2018 January April July October 101.2 102.2 103.5 2017 105 105.6 106.9 108.7 2018 109.6 110.6 111.8 112.4 2016 100 Calculate the price paid at issue for the bond, given that the investol has achieved an effective money yield of 5.4% per annum from this investment.
CCI Inc. has a 9.85% bond that mature on March 15, 2034. Assume that the interest on these bonds is paid quarterly. With a face value of $1,000, what would the bond price be as of March 15, 2024 to an investor who holds the bond until maturity and requires an 10.25% rate of return?
1. 8990 Holdings, Inc. issued a bond on July 16, 2016 that matures in October 16, 2020. This means that the term of the bond is 5 years. Coupon payments will be made every quarter with a rate of 6.21% per annum. Assume that the face value is P10,000 and investor have required rate of return of 10%. The coupon payment per quarter would be? a. P621.00 b. P155.25 c. P310.50 d. P250.00

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