Delta Hedging with Options

For example, we have an exposure to 1000 EUR bonds, and chose to hedge the positon with put option with contract size of 200 and delta of -0.5.

The number of options needed = 1000 / 200 * 0.5 = 10.

But when I go through the CFAI materials, I cannot find a formula related to the above question, but just a formula about delta hedging as below:

Number of options issued to be hedged = Number of stock shares to hedge * Option Delta

Am I missing something here?

get hold of the series 3 study material. compared with cfai it’s night & day.

Where do you see that formula in the curriculum?

If you’re trying to hedge a stock position with options, it should be:

Number of options = number of shares of stock ÷ option delta

I think Roccolee should have written this

The number of options needed = 1000 / 200 * 0.5 = 10.

as

The number of options needed = 1000 / (200 * 0.5) = 10.

which is the same as S2000’s formula

(1000/200) / 0.5 = 5/0.5 = 10