Use the following information for questions 34 through 39. A $100 million portfolio consists of 35 million of stock 'with a beta of 1 and 65 million of bonds at a modified duration of 8. As a portfolio manager, you'd like to change the allocation to 50 million of stock and 50 million of bonds. In addition, you'd like to adjust the beta to 1.2 and the modified duration to 7.25. A stock index futures contract has a price of $225,000 and we can assume the beta is 1. A bond futures contract is priced at $92,000 with an implied modified duration of 5.9. If you want to synthetically sell 15 million of bonds, how many futures contracts should you transact? Select one: O a. Buy 173 contracts O b. Sell 123 contracts c. Sell 173 contracts O d. Buy 123 contracts

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.3: Financial Models
Problem 23P: Suppose you currently have a portfolio of three stocks, A, B, and C. You own 500 shares of A, 300 of...
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Use the following information for questions 34 through 39. A
$100 million portfolio consists of 35 million of stock 'with a beta
of 1 and 65 million of bonds at a modified duration of 8. As a
portfolio manager, you'd like to change the allocation to 50
million of stock and 50 million of bonds. In addition, you'd like
to adjust the beta to 1.2 and the modified duration to 7.25. A
stock index futures contract has a price of $225,000 and we
can assume the beta is 1. A bond futures contract is priced at
$92,000 with an implied modified duration of 5.9. If you want to
synthetically sell 15 million of bonds, how many futures
contracts should you transact?
Select one:
O a. Buy 173 contracts
O b. Sell 123 contracts
c.
Sell 173 contracts
O d. Buy 123 contracts
Transcribed Image Text:Use the following information for questions 34 through 39. A $100 million portfolio consists of 35 million of stock 'with a beta of 1 and 65 million of bonds at a modified duration of 8. As a portfolio manager, you'd like to change the allocation to 50 million of stock and 50 million of bonds. In addition, you'd like to adjust the beta to 1.2 and the modified duration to 7.25. A stock index futures contract has a price of $225,000 and we can assume the beta is 1. A bond futures contract is priced at $92,000 with an implied modified duration of 5.9. If you want to synthetically sell 15 million of bonds, how many futures contracts should you transact? Select one: O a. Buy 173 contracts O b. Sell 123 contracts c. Sell 173 contracts O d. Buy 123 contracts
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