A portfolio contains only one bond and nothing else. This bond, Bond Y, has a 4% annual coupon, matures in 5 years from

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899604
Joined: Mon Aug 02, 2021 8:13 am

A portfolio contains only one bond and nothing else. This bond, Bond Y, has a 4% annual coupon, matures in 5 years from

Post by answerhappygod »

A portfolio contains only one bond and nothing else. This bond,
Bond Y, has a 4% annual coupon, matures in 5 years from today, and
is currently yielding 3.87%. All rates are expressed on an
effective annual basis. A Treasury bond maturing in 4 years from
today, carrying an annual coupon of 1.91%, and currently trading at
par is available for duration-hedging purposes. The Bond Y
portfolio is currently unhedged with interest rates, but you would
like to use the Treasury bond to manage this risk. If the market
value of the unhedged portfolio is $1,137,165 on the LONG side,
what market value of the Treasury bond should be held on the SHORT
side to create a 124.71% duration-hedged portfolio? That is, you
would like 124.71% of the market value of the LONG side hedged.
(Assume that, in these calculations, duration hedging uses Macaulay
duration.)
Question 5 options:
$1,519,925
$1,562,145
$1,604,365
$1,646,585
$1,688,806
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Post Reply