Hedging equations Flashcards

1
Q

When might you use a short futures hedge ??

A

A short futures hedge is appropriate when you know you will sell an asset in the future and want to lock in the price. It is a hedge against the possibility of a fall in price.

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1
Q

When might you use a long futures hedge ??

A

A long futures hedge is appropriate when you know you will purchase an asset in the future and want to lock in the price. It is a hedge against the possibility of a rise in price.

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2
Q

Profit/loss if spot price is 325p at maturity

A
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3
Q

Profit/loss if spot price was 305p at maturity

A
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4
Q

How do u find the total amount paid out by the company ??

A
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5
Q

What is the equation for the optimal hedge ratio ??

A

-σS is the standard deviation of ΔS, the change in the spot price during the hedging period
-σF is the standard deviation of ΔF, the change in the futures price during the hedging period
-ρ is the coefficient of correlation between ΔS and ΔF

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6
Q

How do you find the optimal number of contracts, without tailing the hedge ?

A

QA
Size of position being hedged (units)
QF
Size of one futures contract (units)
VA
Value of position being hedged (=spot price times QA)
VF
Value of one futures contract (=futures price times QF)

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7
Q

How do you find the optimal number of contacts after tailing adjustment to allow for the impact of daily settlement figures (Tailing the hedge)

A

VA
Value of position being hedged (=spot price times QA)
VF
Value of one futures contract (=futures price times QF)

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8
Q

What is the hedge ratio ??

A
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9
Q

If the size of 1 heating oil contract is 42,000G
Spot price - 1.94
Futures price - 1.99

What is the optimal number of contracts with/without tailing the hedge

A
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10
Q

If the optimal hedge ratio is 1 than if we are hedging using index futures whats the equation for number of contacts needed ??

A

where VA is the value of the portfolio and VF is the value of one futures contract

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11
Q

Since it mirrors the S&P 500 h* = 1

A
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12
Q

What position is required to hedge her ??

A
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13
Q

What is the gain or loss on futures ??

A
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14
Q

What is their net position ??

A
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15
Q

How do you find the return of a hedge ??

A
16
Q

What is the equation for the number of contracts needed if we have a beta

A
17
Q
A
18
Q

What strategy should you do if wanting to reduce portfolio beta

A

When reducing the portfolio beta your investment strategy is shorting contract

19
Q

What strategy should you do if wanting to increase portfolio beta

A

When reducing the portfolio beta your investment strategy is to long contract

20
Q

To hedge the portfolio with futures an adjustment to the hedge ratio is required.
what is the equation for the adjusted hedge ratio ??

A
21
Q

What is the equation to remove all market risk ?

A