Today is 16 December 2021. A pension fund has a $50 million obligation exactly 7 years from now and pays 3% interest (compounded annually) on obligation. Assume that the term structure is flat. How many AAPL and MSFT bonds should the pension fund buy to form a pom that will ensure that the pension fund will meet its obligation in 7 years' time APL bond has a modified duration of 19.85 and MSFT bond has mc uration of 3.65. se the information provided in the table below. Note that the quoted price ean price. Price ($) Yield (%) Par value ($) Modified duration (%) Last coupon date Coupon frequency MSFT 1065.597 3 1,000 3.65 03 May 2021 annually AAPL 967.606 3 1,000 19.85 08 Aug 202 annually

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
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Today is 16 December 2021. A pension fund has a $50 million obligation due
exactly 7 years from now and pays 3% interest (compounded annually) on this
obligation. Assume that the term structure is flat.
How many AAPL and MSFT bonds should the pension fund buy to form a portfolio
that will ensure that the pension fund will meet its obligation in 7 years' time?
AAPL bond has a modified duration of 19.85 and MSFT bond has a modified
duration of 3.65.
Use the information provided in the table below. Note that the quoted price is the
clean price.
MSFT
AAPL
Price ($)
Yield (%)
Par value ($)
Modified duration (%)
Last coupon date
Coupon frequency
Day count principle
Maturity
1065.597
967.606
3
1,000
3.65
1,000
19.85
03 May 2021
annually
30/360
08 Aug 2021
annually
30/360
08 Aug 2050
03 May 2025
Transcribed Image Text:Today is 16 December 2021. A pension fund has a $50 million obligation due exactly 7 years from now and pays 3% interest (compounded annually) on this obligation. Assume that the term structure is flat. How many AAPL and MSFT bonds should the pension fund buy to form a portfolio that will ensure that the pension fund will meet its obligation in 7 years' time? AAPL bond has a modified duration of 19.85 and MSFT bond has a modified duration of 3.65. Use the information provided in the table below. Note that the quoted price is the clean price. MSFT AAPL Price ($) Yield (%) Par value ($) Modified duration (%) Last coupon date Coupon frequency Day count principle Maturity 1065.597 967.606 3 1,000 3.65 1,000 19.85 03 May 2021 annually 30/360 08 Aug 2021 annually 30/360 08 Aug 2050 03 May 2025
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