Payout Diagram for Buy Cap + Sell Floor Interest Rate Collar

For the Interest Rate Collar with “long floor + short cap”, the payout diagram looks like a Bull Spread.

But for the Interest Rate Collar with “long cap+ short floor”, does it look like a put spread (in the currency chapter)?

Just want to confirm on this. Thank you!

Hey dududu,

That sounds right to me. The Short Floor would have a higher strike rate than the Long Cap, constructing what would have a similar payoff diagram to a put spread. If both option premiums cancel out, you would have effectively constructed a zero-cost collar.

I am now trying to wrap my head around a scenario though… lets say your are receiving floating, then you would want to purchase a floor to protect yourself. If you’re paying floating, you would want to purchase a cap to protect yourself.

But if you want to stay within two bounds, would it matter how you construct your collar? I guess my question is, When are you supposed to construct a bull collar and when do you instead construct a bear collar???.. gaaah my brain…

Here you’re also long the interest rate.

Here you’re _ not _ short the interest rate.

Hey S2000 :slight_smile: Just to be on the same page a cap is akin to a call (i.e. the buyer makes money when interest rates rise above the strike) a floor is akin to a put (i.e. the buyer makes money when interest rates fall below the strike) If I were to buy a put and sell a call (i.e. setup a covered call + protective put, that would be equivalent to a bull spread) Then why isn’t selling a put and buying a call (the exact reverse position), a put spread?

Mind you aren’t bear spreads and bull spreads based on buying two calls or two puts, or vice versa, hence they are called spreads… hahaha I think I’m turning myself into a pretzel…

Yes.

Yes.

That’s equivalent to a bull spread only if you also have a long position in the underlying. Note that for both a protective put and a covered call you own the underlying.

It’s only the exact reverse position if you’re also short the interest rate.

a cap is akin to a call, a floor is akin to a put. So sell a floor, buy a cap, their combine payoff diagram is

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if you combine with a long position in the underlying, it becomes a bull spread, the payoff diagram is


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Not quite.

You combine a long call and a short put with a _ short _ position in the underlying; the payoff looks like this: ¯_.

You combine a _ short _ call and a _ long _ put with a long position in the underlying to get a payoff that looks like this: _/¯.

Be careful.

S2000magician

Thanks a lot for your answers! Forgot the underlying again. I listed all the four situations below with and without underlying, can you just confirm on this, please? Thanks!

  1. a long call + a short put with a _ short _ position in the underlying; the payoff looks like this ( bear spread ) : ¯_.

/

/

  1. A long call + short put without a underlying ; the payoff looks like p ut spread : / ¯¯¯

/

  1. a short call and a _ long _ put with a long position in the underlying to get a payoff that looks like bull spread : _/¯.

  2. a short call and a _ long _ put without a long position in the underlying to get a payoff that looks like the inverse of put spread

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Yes, although your put spread and inverse put spread (call spread?) diagrams are wonky.

Are we required to draw diagrams? I am able to solve many of derivatives questions but I won’t to draw anything, just am using formulas. I haven’t reached any question so far with asked to draw anything. I draw as a 5 year old, lol!

You’re not required to draw diagrams.

But many people find them immensely helpful in understanding option strategies.

Thanks, S2000Magician! Didn’t know it is called Call Spread. Thanks!

I am still using my 10 year old IBM laptop which has a 12 inches screen. When I drew them at first, they looked fine until I posed the thread…

I don’t know that it’s called a call spread; that simply seemed like a reasonable name when compared to put spread.

Hey S2000, thank you very much for your help as always :slight_smile:

You’re quite welcome.