Answer:
The value of the initial deposit = $1269
Explanation:
Given - Account balance of 1723.57 the interest rate of the account is 3.4% compounded daily.
To find - If the account was opened 9 years ago, what was the value of the initial deposit
Proof -
We know that,
If the interest rate is compounded n times per year at an annual rate r, the present value of a A dollars payable t years from now is:
Here,
A = 1723.57
r = 3.4% = 0.034
n = 365 (because it is compounded daily )
t = 9
So,
we get
= 1723.57(1.000093151)⁻³²⁸⁵
= 1723.57(0.736396351)
= 1269.23066 ≈ $1269
∴ we get
The value of the initial deposit = $1269
Answer:
c. An account that pays 0.5 %0.5% per month for three years.
Explanation:
We can evaluate all the option using following formula:
EAR = ( 1 + ( r / m ) )^m -1
a.
2.5% every six months for three years
r= 2.5% = 0.025 / 6 =
m = 12/6 = 2
EAR = ( 1 + 0.025 )^2 -1
EAR = 0.050625 = 5.06%
7.5% every 18 months for three years
r= 7.5% for 1.5 years = 7.5% / 18 = 0.4167% per month = 0.004167 per month
EAR = ( 1 + 0.004167 )^12 -1
EAR = 0.051166 = 5.12%
0.5% every month for three years
r= 0.5% = 0.005
EAR = ( 1 + 0.005 )^12 -1
EAR = 0.0616778 = 6.17%
We will prefer an account that pays 0.5 %0.5% per month for three years, it pays the highest return.
Answer: Data gap analysis.
Explanation:
A Data gap analysis occurs when an organization evaluates it's available data, and seek methods of improving data collection to meet up with business expectations. Data gap analysis is done to ensure that, an organization has the right information to enable them run operations effectively.
