Perhaps only at a discount.

This is the difference between the two.

Then to discount money in the future to the present, we divide it by 1 plus the discount rate so this is a 5 discount rate.

Anyway.

The probability of reaching S prime given that we started state S and apply action A.

Discount rate

Now what can we do ?

Fifty percent of the Senate between 1998 and 2004

60 off.

epps! pentagon! give me a status.

Now something we should consider is that no end user pays was priced.

And at the store that day they say it is a twenty five percent off marked price sale.

We could have also done it other way.

And it's gonna cost you something extra.

These are 30 percent off.

The price per share, the market price per share, is 3.50, so you could also say it's trading at a discount to book.

And it just depended on how the mathematics work out.

Add that together with the gas, and it's 112,000 per year, just for that sign in each direction.

So once again we have verified, by taking the present value of 110 in 2 years to today, that its present value if we assume a 5 discount rate.

The bank has raised its dividend by 20 .

Another way to kind of just talk about this is to get the present value of 110 a year from now, we discount the value by a discount rate.

We could have said Let y equal the discount

5 minus this 2.

when the sale has a certain percentage ?

But when you lower the Price to Earnings you are increasing the Earnings to Price.

Intrepus stock is being absolutely pummeled

And this one that was in Kenya, they went around and distributed to people vouchers, discount vouchers.

If it's growing 100 a year for 20 years, this is actually a very good deal.

But the big learning from this is how dependent the present value of future payments are on your discount rate assumption.

Free coupons. Discount Discount coupons.

Well, I don't give group rates, you know.

But if you were to present value this let's say they make 1 forever going into the future and you were to present value this using a discount rate.

Are there special evening rates?

If I could get it for 90, that's a good deal for me.

So x minus twenty five percent x is equal to the sale price.

But what if I wanted to generalize a little bit ?

Special rates for state and federal employees.

Let's say in every year it's going to make 1.

Thirty percent off for USC alumni.

Because they looked at the curve and said, if the population keeps growing at this rate, to move the population of New York around, they would have needed six million horses, and the manure created by six million horses would be impossible to deal with.

Be silent. Keep your forked tongue behind your teeth.

I will be 20 more attractive.

Do you have a student fare?

Well, that was x.

I have some coupons I got last week.