How to declare or mark a Java method as deprecated?

Use @Deprecated on method. Don't forget about clarifying javadoc field:

/**
 * Does some thing in old style.
 *
 * @deprecated use {@link #new()} instead.  
 */
@Deprecated
public void old() {
// ...
}

There are two things you can do:

1. Add the @Deprecated annotation to the method, and
2. Add a @deprecated tag to the javadoc of the method

You should do both!

Quoting the java documentation on this subject:

Starting with J2SE 5.0, you deprecate a class, method, or field by using the @Deprecated annotation. Additionally, you can use the @deprecated Javadoc tag tell developers what to use instead.

Using the annotation causes the Java compiler to generate warnings when the deprecated class, method, or field is used. The compiler suppresses deprecation warnings if a deprecated compilation unit uses a deprecated class, method, or field. This enables you to build legacy APIs without generating warnings.

You are strongly recommended to use the Javadoc @deprecated tag with appropriate comments explaining how to use the new API. This ensures developers will have a workable migration path from the old API to the new API

since some minor explanations were missing

Use @Deprecated annotation on the method like this

 /**
 * @param basePrice
 * 
 * @deprecated  reason this method is deprecated <br/>
 *              {will be removed in next version} <br/>
 *              use {@link #setPurchasePrice()} instead like this: 
 * 
 * 
 * <blockquote><pre>
 * getProduct().setPurchasePrice(200) 
 * </pre></blockquote>
 * 
 */
@Deprecated
public void setBaseprice(int basePrice) {
}

remember to explain:

1. Why is this method no longer recommended. What problems arise when using it. Provide a link to the discussion on the matter if any. (remember to separate lines for readability <br/>
2. When it will be removed. (let your users know how much they can still rely on this method if they decide to stick to the old way)
3. Provide a solution or link to the method you recommend {@link #setPurchasePrice()}

Use both @Deprecated annotation and the @deprecated JavaDoc tag.

The @deprecated JavaDoc tag is used for documentation purposes.

The @Deprecated annotation instructs the compiler that the method is deprecated. Here is what it says in Sun/Oracles document on the subject:

Using the @Deprecated annotation to deprecate a class, method, or field ensures that all compilers will issue warnings when code uses that program element. In contrast, there is no guarantee that all compilers will always issue warnings based on the @deprecated Javadoc tag, though the Sun compilers currently do so. Other compilers may not issue such warnings. Thus, using the @Deprecated annotation to generate warnings is more portable that relying on the @deprecated Javadoc tag.

You can find the full document at How and When to Deprecate APIs