Answer:
$112,807
Explanation:
To calculate the amount of money you borrowed, you have to use the formula to calculate the present value:
PV=FV/(1+r)^n
PV= pressent value
FV= future value= 647,514
r= rate= 6%
n= number of periods of time= 30
PV=647,514/(1+0.06)^30
PV=647,514/(1.06)^30
PV=647,514/5.74
PV=112,807
According to this, you originally borrowed $112,807 for this house.
<span>The second team is currently in the requirements phase of their project. In this phase, the team would plan and spell out exactly what is required of the system that they are constructing. This phase comes with heavy input from stakeholders who help define the scope and nature of the project.</span>
If an investor does not diversify his portfolio and instead puts all of his money in one stock, the appropriate measure of security risk for that investor is the "stock's standard deviation."
<h3>What is
standard deviation?</h3>
The standard deviation would be a statistic that calculates as square root of a variance and indicates the dispersion of the a dataset compared to its mean.
Its standard deviation is determined as the square root of the variance by determining the deviation of each data point from the mean.
Some key features regarding the standard deviation, are-
- The standard deviation of a dataset reflects its dispersion compared to its mean.
- A square root of a variance is used to compute it.
- In finance, standard deviation is frequently employed as a measurement of an asset's relative riskiness.
- The volatile stock has a large standard deviation, whereas a description stock has a low deviation.
- The standard deviation, on the other hand, assesses all ambiguity as risk, especially when it is in the investor's advantage, such as above-average profits.
To know more about standard deviation, here
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Answer: The current price of the bond is $258.74
Explanation:
The present value of the bond is its Current Price
We would use the following formua to calculate the Current Price of the bond,
PV = 
+ A ![[\frac{1-\frac{1}{(1+r)^{N} } }{r} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1-%5Cfrac%7B1%7D%7B%281%2Br%29%5E%7BN%7D%20%7D%20%7D%7Br%7D%20%5D)
Where,
FV = Face value = $1,000
A = Coupon payment paid semi annually = (8% x 1000) / 2 = $40
r = Yield to Maturity = 16%
N = Number of periods = 15 years x 2 = 30 semi-annual periods
PV = 
+ 40 ![[\frac{1-\frac{1}{(1+0.16)^{30} } }{0.16} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1-%5Cfrac%7B1%7D%7B%281%2B0.16%29%5E%7B30%7D%20%7D%20%7D%7B0.16%7D%20%5D)
PV = 258.73618
Answer:
a. 9,50%
b. $47.09
Explanation:
a) Discount rate on the stock
Average Risk Premium of Stock = 7.60%
Current risk-free rate = 1.60%
Discount Rate = 7.60% + 1.90%
Discount Rate = 9.50%
b) Current Price = ($41 + $2) / (1 + 9.50%)^1
Current Price = $43 / (1.0950)^1
Current Price = $43 / (1.0950)^1
Current Price = $43 / 0.91324
Current Price = $47.0851035872278
Current Price = $47.09
Note: Stock price equals the present value of cash flows for a 1-year horizon (Fv + Dividend)/(1+ Discount rate)^n
