Answer:
r = 0.09 or 9%
Explanation:
Using the CAPM, we can calculate the required rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.
The formula for required rate of return under CAPM is,
r = rRF + Beta * (rM - rRF)
Where,
- rRF is the risk free rate
r = 0.05 + 0.5 * (0.13 - 0.05)
r = 0.09 or 9%
Answer:
a. PV = $10,299.02
b. PV = $36,226.63
c. PV = $14,797.46
d. PV = $24,794.88
Explanation:
To solve this question, we use present value formula
PV = C/(1+r)^n
Where PV = Present value of a lump sum
C = Future amount to be discounted
r = Interest rate
n = Number of years
a. PV = C/(1+r)^n
C = $25,500
r = 12%
n = 8
PV = $25,500 /(1+12%)^8
PV = $25,500 /(1+0.12)^8
PV = $25,500 /(1.12)^8
PV = $25,500 /2.475963176
PV = $10,299.02231
PV = $10,299.02
b. PV = C/(1+r)^n
C = $58,000
r = 4%
n = 12
PV = $58,000 /(1+4%)^12
PV = $58,000 /(1+0.04)^12
PV = $58,000 /(1.04)^12
PV = $58,000 /1.601032219
PV = $36,226.62888
PV = $36,226.63
c. PV = C/(1+r)^n
C = $25,000
r = 6%
n = 9
PV = $25,000 /(1+6%)^9
PV = $25,000 /(1+0.06)^9
PV = $25,000 /(1.06)^9
PV = $25,000 /1.689478959
PV = $14,797.46159
PV = $14,797.46
c. PV = C/(1+r)^n
C = $35,000
r = 9%
n = 4
PV = $35,000 /(1+9%)^4
PV = $35,000 /(1+0.09)^4
PV = $35,000 /(1.09)^4
PV = $35,000 /1.41158161
PV = $24,794.88239
PV = $24,794.88
Answer:
A and B
Explanation:
Unless you can choose B by itself then go with A and B.
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Answer:
(C) Pepin The Short
Explanation:
In 741AD, Pepin took over from his father as Mayor of the Palace. He ruled alongside his elder brother.
In 743AD, Pepin and his brother chose Childeric to be the <em>apparent</em> King of the Franks. Both brothers still wielded the functional power to the throne. Childeric was just to 'appear to be' the King (unknown to him though).
In 747AD, Pepin's brother stepped down (intentionally and on his own accord). Pepin then became the only ruler of the entire Frankish territory.
In 751AD, Pepin, without full support from his clan, lured Childeric into monastery in order to remove him as the 'face of Francia'.
Pope Zacharias helped Pepin to be proclaimed King of the Franks, against all opposition.