Answer:
Results are below.
Explanation:
Giving the following information:
The semiannual interest of 3.5%.
A) We need to calculate the nominal interest rate:
Nominal interest rate= 0.035/2= 0.0175
B) Real interest rate:
Real interest rate= (1.0175^2) - 1= 0.03531
It compounds interest twice a year. Therefore, is higher
C) Investment= $8,000
We will use the following formula:
FV= PV*(1+i)^n
n= 10
i= 0.175
PV= 8,000
FV= 8,000*(1.0175^10)
FV= $9,515.56
Answer: a. 0.042 b. 0.086 c. 0.00692
Explanation:
NOTE: Convert months to years. So 24 months = 2 years.
a. Six months
Months to year conversion gives: 6months/24months as 1/4 years
= (1 + 18%)^ 1/4 — 1 x 100%
= 1.042 — 1
= 0.042
Equivalent Discount Rate = 0.042
b. One year
12months/24months as 1/2 years
= (1 + 18%)^1/2 — 1 x 100%
= 0.086
Equivalent Discount Rate = 0.086
c. 1 month
1month/24months as 1/24 years
= (1 + 18%)^1/24 — 1 x 100%
= 0.00692
Answer:
Monthly withdrawal = $ 231.17 per month
Explanation:
Below is the calculation:
Deposit amount in the bank = $10200
Interest rate earned by the deposit = 4.19%
Monthly interest rate = 4.19% / 12 = 0.34917%
Number of periods = 4 years x 12 = 48
Amount in the account = Monthly withdrawal x (P/A, 0.34917%, 48)
10200 = Monthly withdrawal x 44.12246
Monthly withdrawal = 10200/44.12246
Monthly withdrawal = $ 231.17 per month