Answer:
For correlation 1 the standard deviation of portfolio is 0.433.
For correlation 0 the standard deviation of portfolio is 0.3191.
For correlation -1 the standard deviation of portfolio is 0.127.
Explanation:
The standard deviation of a portfolio is computed using the formula:
![\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}](https://tex.z-dn.net/?f=%5Csigma_%7BP%7D%3D%5Csqrt%7Bw%5E%7B2%7D_%7B1%7D%5Csigma_%7B1%7D%5E%7B2%7D%2Bw%5E%7B2%7D_%7B2%7D%5Csigma_%7B2%7D%5E%7B2%7D%2B2%5Ctimes%20r%5Ctimes%20w_%7B1%7D%5Csigma_%7B1%7Dw_%7B2%7D%5Csigma_%7B2%7D%7D)
(1)
For <em>r</em> = + 1 compute the standard deviation of portfolio as follows:
![\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}\\=\sqrt{(0.30^{2}\times 0.51^{2})+(0.70^{2}\times 0.40^{2})+(2\times1\times0.30\times 0.51\times0.70\times 0.40)}\\=\sqrt{0.187489}\\=0.433](https://tex.z-dn.net/?f=%5Csigma_%7BP%7D%3D%5Csqrt%7Bw%5E%7B2%7D_%7B1%7D%5Csigma_%7B1%7D%5E%7B2%7D%2Bw%5E%7B2%7D_%7B2%7D%5Csigma_%7B2%7D%5E%7B2%7D%2B2%5Ctimes%20r%5Ctimes%20w_%7B1%7D%5Csigma_%7B1%7Dw_%7B2%7D%5Csigma_%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%280.30%5E%7B2%7D%5Ctimes%200.51%5E%7B2%7D%29%2B%280.70%5E%7B2%7D%5Ctimes%200.40%5E%7B2%7D%29%2B%282%5Ctimes1%5Ctimes0.30%5Ctimes%200.51%5Ctimes0.70%5Ctimes%200.40%29%7D%5C%5C%3D%5Csqrt%7B0.187489%7D%5C%5C%3D0.433)
Thus, for correlation 1 the standard deviation of portfolio is 0.433.
(2)
For <em>r</em> = 0 compute the standard deviation of portfolio as follows:
![\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}\\=\sqrt{(0.30^{2}\times 0.51^{2})+(0.70^{2}\times 0.40^{2})+(2\times0\times0.30\times 0.51\times0.70\times 0.40)}\\=\sqrt{0.101809}\\=0.3191](https://tex.z-dn.net/?f=%5Csigma_%7BP%7D%3D%5Csqrt%7Bw%5E%7B2%7D_%7B1%7D%5Csigma_%7B1%7D%5E%7B2%7D%2Bw%5E%7B2%7D_%7B2%7D%5Csigma_%7B2%7D%5E%7B2%7D%2B2%5Ctimes%20r%5Ctimes%20w_%7B1%7D%5Csigma_%7B1%7Dw_%7B2%7D%5Csigma_%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%280.30%5E%7B2%7D%5Ctimes%200.51%5E%7B2%7D%29%2B%280.70%5E%7B2%7D%5Ctimes%200.40%5E%7B2%7D%29%2B%282%5Ctimes0%5Ctimes0.30%5Ctimes%200.51%5Ctimes0.70%5Ctimes%200.40%29%7D%5C%5C%3D%5Csqrt%7B0.101809%7D%5C%5C%3D0.3191)
Thus, for correlation 0 the standard deviation of portfolio is 0.3191.
(3)
For <em>r</em> = -1 compute the standard deviation of portfolio as follows:
![\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}\\=\sqrt{(0.30^{2}\times 0.51^{2})+(0.70^{2}\times 0.40^{2})+(2\times-1\times0.30\times 0.51\times0.70\times 0.40)}\\=\sqrt{0.016129}\\=0.127](https://tex.z-dn.net/?f=%5Csigma_%7BP%7D%3D%5Csqrt%7Bw%5E%7B2%7D_%7B1%7D%5Csigma_%7B1%7D%5E%7B2%7D%2Bw%5E%7B2%7D_%7B2%7D%5Csigma_%7B2%7D%5E%7B2%7D%2B2%5Ctimes%20r%5Ctimes%20w_%7B1%7D%5Csigma_%7B1%7Dw_%7B2%7D%5Csigma_%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%280.30%5E%7B2%7D%5Ctimes%200.51%5E%7B2%7D%29%2B%280.70%5E%7B2%7D%5Ctimes%200.40%5E%7B2%7D%29%2B%282%5Ctimes-1%5Ctimes0.30%5Ctimes%200.51%5Ctimes0.70%5Ctimes%200.40%29%7D%5C%5C%3D%5Csqrt%7B0.016129%7D%5C%5C%3D0.127)
Thus, for correlation -1 the standard deviation of portfolio is 0.127.
Answer:
Dealers ; Brokers
Explanation:
Foreign exchange dealers make money or profit by buying stock at lower price and selling the same at a higher price. They do this by adding a markup on the price of stock bought by them and sell the same to a buyer. The markup serves as profit to dealers.
Foreign exchange brokers act as intermediary between buyers and sellers as traders could execute trades through a brokers only. A broker earns profit in the form of commissions and fees earned on executing each transaction.
Answer:
These two are cash equivalents:
Money market funds
Three-month Treasury bills
Because they represent short-term investments that a company makes with the goal of getting rid of any excess cash that would otherwise be left unused while it is losing value because of inflation.
In other words, the main goal of investments in money market funds and three-month treasury bills, is to prevent cash from losing value due to inflation, and because of that, those investments are considered cash equivalents.
Answer:
A.
They ensure that people and businesses can buy what they need.
Explanation:
Borrowing involves requesting and receiving a huge sum of money in a lump sum. Households and firms borrow from lenders to finance business expansion or domestic consumption.
In the economy, borrowing is significant as it facilitates the acquisition of start-up capital, capital goods, and household developments. Without borrowing and lending, these investments and consumption would not be possible as they require large sums of money to initialize. If firms and households depended on savings for capital and consumption expenditure, the rate of economic growth would be very slow. It would take many years to achieve the substantial amount needed for expansion and development projects.