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Interest Rate Options

From my limited understanding and from reading the CFAI text, i'm trying to conclude what the types of interest rate options and their impact on Duration of a position.

My understanding is that options can have either (1) interest rate or (2) a bond, as the underlying to an option, so the respective impact of rate changes are

Interest Rate as underlying (increase in rate effect)
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- Long Put - decrease in value - Used to increase Duration of portfolio
- Long Call - increase in value - Used to decrease Duration of a portfolio
- Short Call - increase in value - Used to increase Duration of a portfolio
- Short Put - decrease in value - Used to decrease Duration of a portfolio

Bond as the underlying (increase in rate effect)
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- Long Put - increase in value (underlying decreases in value) - Decrease duration of portfolio
- Long Call - decrease in value (underlying increases in value) - Increase duration of portfolio
- Short Call - decrease in value - decrease duration of portfolio
- Short Put - increase in value - increase duration of portfolio

I want to make sure my understanding is correct, can someone say whether they agree or not?

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