Answer:
(i) $133.12
(ii) $297.6
(iii) $300.8
(iv) $301.6
Explanation:
From the compounding formula;
Future value = Present value ![(1+\frac{r}{m}) ^{mn}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7Br%7D%7Bm%7D%29%20%5E%7Bmn%7D)
where r is the rate, m is the number of payment per year, and n is the number of years.
Interest = future value - present value
Given that present value = $800, r = 8%, n = 4 years.
(i) annually,
m = 1, so that;
Future value = 800![(1.08)^{4}](https://tex.z-dn.net/?f=%281.08%29%5E%7B4%7D)
= $933.12
Interest = $933.12 - $800
= $133.12
(ii) quarterly,
m = 3, so that;
Future value = 800![(1+\frac{0.08}{3}) ^{(4x3)}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7B0.08%7D%7B3%7D%29%20%5E%7B%284x3%29%7D)
= 800(1.372)
= $1097.6
Interest = $1097.6 - $800
= $297.6
(iii) monthly,
m = 12, so that;
Future value = 800![(1+\frac{0.08}{12}) ^{(4x12)}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7B0.08%7D%7B12%7D%29%20%5E%7B%284x12%29%7D)
= 800(1.376)
= $1100.8
Interest = $1100.8 - $800
= $300.8
(iv) weekly,
m = 54, so that;
Future value = 800![(1+\frac{0.08}{54}) ^{(4x54)}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7B0.08%7D%7B54%7D%29%20%5E%7B%284x54%29%7D)
= 800(1.377)
= $1101.6
Interest = $1101.6 - $800
= $301.6
In the question, continuously should be annually.
Solution:
Applicable formula is;
A = P(1+r)^n
Where;
A = Total amount after 30 years = $9,110
P = Amount invested = $5,000
r = Annual interest rate in decimals
n = Number of years = 30
Substituting;
9110 = 5000(1+r)^30
9110/5000 = (1+r)^30
1.822 = (1+r)^30
Taking natural logs on both sides;
ln (1.822) = 30 ln (1+r)
0.5999 = 30 ln (1+r)
0.5999/30 = ln (1+r)
0.019998 = ln (1+r)
Taking exponents on both sides
e^0.019998 = 1+r
1.0202 = 1+r
r = 1.0202 -1 = 0.0202 =2.02%
Therefore, annual interest rate should be 2.02%.
Answer: purchase foreign currency in order to purchase a U.S. treasury bond.
Explanation:
Currency convertibility has to do with the degree in which the domestic currency of a particular country can be converted into the currency of another country.
Therefore, a citizen in a developing country with a currency policy of convertibility on the current account could engage in the purchase foreign currency in order to purchase a U.S. treasury bond.
Answer: born global
Explanation:
An organization that is global within two years of its inception with a major focus on foreign markets rather than its domestic market can be said to be born global.
Since the day such organization is established, they seek to gain competitive advantage over their rivals by using latest technologies and selling their products in different countries.