A certain politician has a brilliant idea. he will increase his popularity and assure reelection by giving away cash to everybod
y in the country. he will give $1 to a certain u.s. citizen, $2 to another, $3 to another, and so on until he has given away $297,624,985 to the 297,624,985th and last citizen of the united states.
<span>Put all of these numbers in a line...obviously, don't put ALL of them, but enough so you can see what you're doing.
1 + 2 + 3 + ... + 297,624,985
Now put all these numbers BACKWARDS underneath that.
1 + 2 + 3 + ... + 297,624,985
297,624,985 + 297,624,984 + 297,624,983 + ... + 1
Now add the first series to the second, and you'll see that they add up to:
297,624,986 + 297,624,986 + 297,624,986 + ...297,624,986
Since there were 297,624,985 terms, the total sum here is
297,624,986 * 297,624,985
But since you added it twice, you divide it by two:
148,812,493 * 297,624,985
This is 44,290,315,996,937,605, so...yes, it is MUCH larger.</span>
Electronic commerce or E-commerce, consists of the purchase, sale, distribution, marketing and supply of information on products or services through the Internet. What is achieved with this network is that any potential customer can access products or services from anywhere, at any time. For this reason, it is argued that implementing an electronic commerce system will be reflected in an increase in sales and income.
Assume that you hold a well-diversified portfolio that has an expected return of 11.0% and a beta of 1.20. You are in the process of buying 1,000 shares of Alpha Corp at $10 a share and adding it to your portfolio. Alpha has an expected return of 21.5% and a beta of 1.70. The total value of your current portfolio is $90,000. What will the expected return and beta on the portfolio be after the purchase of the Alpha stock? Do not round your intermediate calculations.
Old portfolio return
11.0%
Old portfolio beta
1.20
New stock return
21.5%
New stock beta
1.70
% of portfolio in new stock = $ in New / ($ in old + $ in new) = $10,000/$100,000=
10%
New expected portfolio return = rp = 0.1 × 21.5% + 0.9 × 11% =
12.05%
New expected portfolio beta = bp = 0.1 × 1.70 + 0.9 × 1.20 =