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Forum: Short-Term Actuarial Math 09-12-2019, 11:20 AM
Replies: 7
Views: 2,142
Posted By Jim Daniel
False. The variance of a discrete uniform on...

False.

The variance of a discrete uniform on the integers a through b is the same as for one on a - (a - 1) = 1 through b - (a - 1) = b - a + 1 and so is [(b - a + 1)^2 - 1] / 12.
Forum: Short-Term Actuarial Math 08-31-2019, 06:02 PM
Replies: 7
Views: 1,243
Posted By Jim Daniel
Why not write E[(S - 100)+] = E[S] - E[S ^ 100}?...

Why not write E[(S - 100)+] = E[S] - E[S ^ 100}? Then E[S] = 160 easily.

S can only equal 0, 40, 80, 120, 160, etc, so S ^ 100 can only equal 0, 40, 80, 100; the probabilities of these values are...
Forum: Long-Term Actuarial Math 07-12-2019, 02:47 PM
Replies: 78
Views: 12,941
Posted By Jim Daniel
September face-to-face LTAM seminar

My next face-to-face exam-prep seminar for LTAM is 5 - 11 September. For detailed information, see my website http://www.actuarialseminars.com .
Forum: Long-Term Actuarial Math 07-12-2019, 02:44 PM
Replies: 749
Views: 130,732
Posted By Jim Daniel
Congratulations; condolences; seminars

Congratulations to those who passed LTAM! If STAM is next on your list, please consider my face-to-face exam-prep seminar for STAM---the next is in August. Detailed information is on my website...
Forum: Short-Term Actuarial Math 06-30-2019, 03:27 PM
Replies: 31
Views: 6,531
Posted By Jim Daniel
Face-to-face exam-prep STAM seminar

My face-to-face exam-prep seminar for the October sitting for Exam STAM is scheduled for 15 - 21 August; see http://www.actuarialseminars.com for detailed information.

It will probably be a small...
Forum: Short-Term Actuarial Math 05-23-2019, 03:51 PM
Replies: 128
Views: 40,846
Posted By Jim Daniel
That depends on your approach. If you deal with...

That depends on your approach. If you deal with ordinary deductibles by working with the distribution of the loss amount X conditioned on X > d then that's the same as working with the amount per...
Forum: Short-Term Actuarial Math 05-23-2019, 02:52 PM
Replies: 128
Views: 40,846
Posted By Jim Daniel
The data are truncated below at 500, as in a...

The data are truncated below at 500, as in a franchise deductible with d = 500.
Forum: Long-Term Actuarial Math 04-27-2019, 03:35 PM
Replies: 749
Views: 130,732
Posted By Jim Daniel
Will this help? Suppose that Jose's salary for...

Will this help?
Suppose that Jose's salary for the year of age 45 to 46 is 50,000 and that he'll get a 3% raise at the beginning of each year starting a year from now. Then salaries start looking...
Forum: Short-Term Actuarial Math 04-23-2019, 06:25 PM
Replies: 128
Views: 40,846
Posted By Jim Daniel
Yes, but then the derivative of -1000/theta...

Yes, but then the derivative of -1000/theta should have a plus sign. They just put the negative sign in an odd place.
Forum: Short-Term Actuarial Math 04-23-2019, 10:05 AM
Replies: 128
Views: 40,846
Posted By Jim Daniel
A Beta RV with a = b = 1 is a Uniform RV on 0 to...

A Beta RV with a = b = 1 is a Uniform RV on 0 to theta.
Forum: Long-Term Actuarial Math 04-18-2019, 01:13 PM
Replies: 749
Views: 130,732
Posted By Jim Daniel
Recently, uniform distributions have come up on...

Recently, uniform distributions have come up on about 0.1% of the points, the forever-constant-force exponential model about 2%, constant forces in multi-state settings about 2-to-3%, and the...
Forum: Short-Term Actuarial Math 04-12-2019, 10:18 AM
Replies: 128
Views: 40,846
Posted By Jim Daniel
Seminar registration still open

To those who just learned that they didn't pass the February sitting, my condolences.

In case you're interested, registration for my 2 - 8 May face-to-face exam-prep seminar is still open. Since...
Forum: Short-Term Actuarial Math 04-12-2019, 10:15 AM
Replies: 106
Views: 43,345
Posted By Jim Daniel
Seminar registration still open

Congratulations to those who passed, condolences to those who didn't.

In case you didn't pass and are interested, registration for my 2 - 8 May face-to-face exam-prep seminar is still open. Since...
Forum: Long-Term Actuarial Math 03-13-2019, 05:53 PM
Replies: 749
Views: 130,732
Posted By Jim Daniel
In the first case, one force of mortality is 60%...

In the first case, one force of mortality is 60% of the other AT ONE SPECIFIC AGE. In the second case, one force of mortality is 50% of the other AT ALL AGES.

By the way, the Uniform model has...
Forum: Long-Term Actuarial Math 03-05-2019, 07:18 PM
Replies: 3
Views: 960
Posted By Jim Daniel
I meant the formula for the variance in terms of...

I meant the formula for the variance in terms of Ax and double-force Ax and the discount rate d. Just replace each by its mthly version.

When you say you are given "the second moment of a-double...
Forum: Long-Term Actuarial Math 03-03-2019, 01:00 AM
Replies: 3
Views: 960
Posted By Jim Daniel
Why would you want this, when the variance of the...

Why would you want this, when the variance of the a-double-dot(m) random variable looks just like the formula for the variance when m = 1, except you put a superscript m on every term?
Forum: Short-Term Actuarial Math 02-17-2019, 10:39 AM
Replies: 106
Views: 43,345
Posted By Jim Daniel
Results on pilot questions are not counted in...

Results on pilot questions are not counted in determining your grade.
Forum: Long-Term Actuarial Math 02-16-2019, 12:40 PM
Replies: 749
Views: 130,732
Posted By Jim Daniel
It would help if you precisely quoted the problem...

It would help if you precisely quoted the problem and its solution and its source.

What you wrote as the solution is weird---the numerator looks as though you're dealing with a continuous annuity...
Forum: Short-Term Actuarial Math 02-15-2019, 05:49 PM
Replies: 128
Views: 40,846
Posted By Jim Daniel
Daniel face-to-face exam-prep seminar

I'll be teaching my face-to-face STAM seminar 2 - 8 May for the June exam. For detailed information, see my website www.actuarialseminars.com .
Forum: Short-Term Actuarial Math 02-15-2019, 05:45 PM
Replies: 106
Views: 43,345
Posted By Jim Daniel
Daniel face-to-face exam-prep seminar

For anyone now planning on the June STAM exam, I'll be teaching my STAM face-to-face seminar 2 - 8 May. Detailed information is on my website www.actuarialseminars.com .
Forum: Long-Term Actuarial Math 02-13-2019, 12:14 PM
Replies: 749
Views: 130,732
Posted By Jim Daniel
Seminar hotel cutoff

The hotel where I hold my 14 - 20 March face-to-face LTAM seminar has a cutoff of Friday 15 February for the reduced rate for a sleeping room. If you are planning to register for my seminar, you an...
Forum: Short-Term Actuarial Math 02-12-2019, 05:46 PM
Replies: 4
Views: 808
Posted By Jim Daniel
You need to be a little careful with this...

You need to be a little careful with this interpretation, since r need not be a whole number. It's OK to roughly thing of it as Terence described, but don't get flustered if you have r=2.3 or some...
Forum: Short-Term Actuarial Math 02-01-2019, 03:18 PM
Replies: 11
Views: 1,731
Posted By Jim Daniel
Aha. I see that we were talking about two...

Aha. I see that we were talking about two different things.

I was saying that if, given q, X1 and X2 were mutually independent (both with the same q), then the unconditional X1 and unconditional...
Forum: Short-Term Actuarial Math 02-01-2019, 12:03 PM
Replies: 11
Views: 1,731
Posted By Jim Daniel
The q's can't be drawn independently for each X....

The q's can't be drawn independently for each X. Once q is given, the distribution of each X is determined.

Suppose a variable q can be 0 or 1, 50/50.

Suppose that X | q = 0 can be 1 or 2,...
Forum: Short-Term Actuarial Math 02-01-2019, 10:22 AM
Replies: 11
Views: 1,731
Posted By Jim Daniel
German, The original post didn't say whether...

German,

The original post didn't say whether it was S | q---that is, the same q for all m of the Xj. [I think that this was an old exam question, and that that question said it was S | q.] With...
Showing results 1 to 25 of 300

 

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