Answer:
The lum-sum must equal $5,369,009.59
Explanation:
Giving the following information:
First option:
Annual payment= $420,000
Number of periods= 25 years
Interest rate= 6%
<u>First, we need to calculate the future value of the first option using the following formula:</u>
<u></u>
<u>FV= {A*[(1+i)^n-1]}/i</u>
A= annual deposit
FV= {420,000*[(1.06^25) - 1]} / 0.06
FV= $23,043,095.04
<u>Now, to determine the lump-sum to receive today, we need to determine the present worth of the annuity:</u>
PV= FV / (1 + i)^n
PV= 23,043,095.04 / (1.06^25)
PV= $5,369,009.59
Answer:
Real purchasing power increase= 2.16%
Explanation:
Giving the following information:
You deposit $1,900 in your savings account that pays an annual interest rate of 3.25%. The inflation rate is 1.09%.
In this example, we have two different and opposite effects. The interest rate increases your purchasing power. If the inflation rate is 0, the purchasing power will increase (in one year) 3.25%.
The inflation rate decreases the purchasing power of nominal income.
Real purchasing power increase= annual interest rate - inflation rate
Real purchasing power increase= 3.25 - 1.09= 2.16%
Answer:
c. $18, 750
Explanation:
The computation of the amount of interest expense i.e. accrued is shown below:
= Issued amount × yield on the bonds × given months ÷ total number of months in a year
= $562,500 × 10% × 4 months ÷ 12 months
= $18,750
The 4 months is calculated from July 1 to October 31
Hence, the correct option is c. $18,750