Answer: The loan was taken for 265 days.
We arrive at the answer as follows:
First we find the ratio of interest paid to the total loan amount to determine the interest rate:
Interest paid = $1,307
Loan Amount = $45,000
Since the interest rate calculated above is less than the annual interest rate at 4%, we conclude that the loan taken was for a period of less than one year.
We can determine the period for which the loan was taken as follows:
Let 'x' be the time for which the loan was taken.
We need to solve for x in the proportion below
0.04 : 365 :: 0.029044444:x
Solving we get,
Answer:
The price of the bonds is $ 1,276.
Explanation:
The value of bond or issue price can be calculated by discounting all future cash flow using effective rate of retun. Detail calculations are given below.
Future Value = Redemption present value (RPV) + Present value of interest (PVI)
RPV = 1,000 (1+5%)^-15 = $ 481 -A
PVI = 36.25 * Annuity factor =$ 759 -B
Future Value = A + B = $ 1,276
Annuity factor = (1- (1+i%)^-n)/i% = (1- (1+5%/2)^-30)/(5%/2) = 20.9303
Answer:
They need to put into the account a total of $67,290 to ensure that they will have $ 100,000 in 9 years.
Explanation:
We have to calculate the present value of the sum needed in 9 years ($100,000), with a annual fixed interest rate of 4.5%.
This can be calculated as:
They need to put into the account a total of $67,290 to ensure that they will have $ 100,000 in 9 years.
Answer:
I used an excel spreadsheet to answer this question.