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Sedbober [7]
3 years ago
11

Consider a portfolio manager with a $20,500,000 equity portfolio under management. The manager wishes to hedge against a decline

in share values using stock index futures. Currently a stock index future is priced at 1250 and has a multiplier of 250. The portfolio beta is 1.25. Calculate the number of contracts required to hedge the risk exposure and indicate whether the manager should be short or long.
Business
1 answer:
love history [14]3 years ago
7 0

Answer:

Assume that a month later the equity portfolio has a market value of $20,000,000 and the stock index future is priced at 1150 with a multiplier of 250. Calculate the profit on the equity position.

Calculate the overall profit.

$1,550,000

Explanation:

Assume that a month later the equity portfolio has a market value of $20,000,000 and the stock index future is priced at 1150 with a multiplier of 250. Calculate the profit on the equity position.

Calculate the overall profit.

The manager should be short on the stock index futures because the position on the equity portfolio is long.

Number of contracts required to hedge

= [$20,500,000/(1250*250)] * 1.25 = 82 contracts

Profit on the equity portfolio

= $20,000,000 - $20,500,000 = -$500,000

Profit on the stock index future

= [(1250)(250) – (1150)(250)] x 82 = $2,050,000

Overall profit

=  $2,050,000 - $500,000

= $1,550,000

therefore, the overall profit is  $1,550,000

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Assume there must be one-to-one matching between consultants and projects. For the optimal schedule, what is the total number of
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The president of a consulting firm wants to minimize the total number of hours it will take to complete three projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the three projects, as follows: Project (Hours) Consultant Charlie 16 11 13 Betty 15 14 18 Johnny 22 12 15 Rick 17 12 22 Assume there must be one-to-one matching between consultants and projects. For the optimal schedule, what is the total number of hours it will take these consultants to complete these projects? Options: 46 hours, 61 hours, 53 hours, 54 hours, 50 hours

Answer:

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Explanation:

a) Data and Calculations:

                                        Project (Hours)

Consultant             A            B            C          D   Project assignment

Charlie                   13           16           11          13    Charles takes C for 11      

Betty                       11           15           14         18    Betty takes A for 11

Johnny                   15          22          12         15    Johnny takes D for 15

Rick                        17           17           12         22   Rick takes B for 17

Minimum hours     11            15          11          13    Total hours taken 54

b) To achieve optimal schedule, Consultant Betty should take project A, spending 11 hours.  Consultant Charlie should take project C for 11 hours.  Consultant Johnny should take project D for 15 hours, while Rick takes project B for 17 hours.  This gives a total of 54 hours spent on the four projects.

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