Why should Java 8's Optional not be used in arguments

Question

I've read on many Web sites Optional should be used as a return type only, and not used in method arguments. I'm struggling to find a logical reason why. For example I have a piece of logic which has 2 optional parameters. Therefore I think it would make sense to write my method signature like this (solution 1):

public int calculateSomething(Optional<String> p1, Optional<BigDecimal> p2 {
    // my logic
}

Many web pages specify Optional should not be used as method arguments. With this in mind, I could use the following method signature and add a clear Javadoc comment to specify that the arguments may be null, hoping future maintainers will read the Javadoc and therefore always carry out null checks prior to using the arguments (solution 2):

public int calculateSomething(String p1, BigDecimal p2) {
    // my logic
}

Alternatively I could replace my method with four public methods to provide a nicer interface and make it more obvious p1 and p2 are optional (solution 3):

public int calculateSomething() {
    calculateSomething(null, null);
}

public int calculateSomething(String p1) {
    calculateSomething(p1, null);
}

public int calculateSomething(BigDecimal p2) {
    calculateSomething(null, p2);
}

public int calculateSomething(String p1, BigDecimal p2) {
    // my logic
}

Now I try writing the code of the class which invokes this piece of logic for each approach. I first retrieve the two input parameters from another object which returns Optionals and then, I invoke calculateSomething. Therefore, if solution 1 is used the calling code would look like this:

Optional<String> p1 = otherObject.getP1();
Optional<BigInteger> p2 = otherObject.getP2();
int result = myObject.calculateSomething(p1, p2);

if solution 2 is used, the calling code would look like this:

Optional<String> p1 = otherObject.getP1();
Optional<BigInteger> p2 = otherObject.getP2();
int result = myObject.calculateSomething(p1.orElse(null), p2.orElse(null));

if solution 3 is applied, I could use the code above or I could use the following (but it's significantly more code):

Optional<String> p1 = otherObject.getP1();
Optional<BigInteger> p2 = otherObject.getP2();
int result;
if (p1.isPresent()) {
    if (p2.isPresent()) {
        result = myObject.calculateSomething(p1, p2);
    } else {
        result = myObject.calculateSomething(p1);
    }
} else {
    if (p2.isPresent()) {
        result = myObject.calculateSomething(p2);
    } else {
        result = myObject.calculateSomething();
    }
}

So my question is: Why is it considered bad practice to use Optionals as method arguments (see solution 1)? It looks like the most readable solution to me and makes it most obvious that the parameters could be empty/null to future maintainers. (I'm aware the designers of Optional intended it to only be used as a return type, but I can't find any logical reasons not to use it in this scenario).

Answer 1

Oh, those coding styles are to be taken with a bit of salt.

1. (+) Passing an Optional result to another method, without any semantic analysis; leaving that to the method, is quite alright.
2. (-) Using Optional parameters causing conditional logic inside the methods is literally contra-productive.
3. (-) Needing to pack an argument in an Optional, is suboptimal for the compiler, and does an unnecessary wrapping.
4. (-) In comparison to nullable parameters Optional is more costly.
5. (-) The risk of someone passing the Optional as null in actual parameters.

In general: Optional unifies two states, which have to be unraveled. Hence better suited for result than input, for the complexity of the data flow.