a.
To calculate: Present value of
Annuity: It is an agreement under which a person pays the lump sum payment or number of small transactions and in return he gets the amount at later date or upon annuitization. The purpose of the annuity is not to the break the flow of income after retirement.
a.
Explanation of Solution
Solution:
Formula to calculate present value of
Where,
- PV is present value.
- C is monthly payment made.
- I is interest rate.
- N is number of years.
Substitute $400 for C, 10% for I and N for 10 in equation (I).
The amount of present value will be $2457.8284.
b.
To calculate: Present value of
b.
Explanation of Solution
Solution:
Substitute $200 for C, 5% for I and N for 5 in equation (I).
The amount of present value will be $865.8954.
c.
To calculate: Present value of
c.
Explanation of Solution
Solution:
Formula to calculate present value of
Where,
- PV is present value.
- C is monthly payment made.
- I is interest rate.
- N for number of years.
Substitute $400 for C, 5% for I and 4, 3, 2, 1 and 0 for N.
The value of
d.
To calculate:
d.
Explanation of Solution
Solution:
Formula to calculate
Where,
- PV is present value.
- C is monthly payment made.
- I is interest rate.
- N is number of years.
Substitute $400 for C, 5% for I and 10 for N.(part (a))
The amount will be $2,703.61348 for annuity due.
Substitute $200 for C, 5% for I and 5 for N. (part (b))
The amount will be $909.190 for annuity due.
Formula to calculate annuity due amount is, (part (c))
Where,
- PV is present value.
- C is monthly payment made.
- I is interest rate.
- N for number of years.
Substitute $400 for C, 0% for I and 4, 3, 2, 1 and 0 for N.
The final amount of
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Chapter 5 Solutions
Fundamentals of Financial Management : Concise - With 2 Access
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