A sum of money is invested at 8.4% compounded monthly for 6 years. State the following: (6
Question:
- A sum of money is invested at 8.4% compounded monthly for 6 years. State the following: (6 marks)
- the nominal annual rate of interest.
- the number of compounding periods per year.
- the periodic rate of interest.
- the number of compounding period in the term.
- the compounding factor (1+i)n
- the numerical value of the compounding factor.
- Calculate the Future Value. (3 marks)
Principal | Time | Annual Rate | Compounded | Future Value |
---|---|---|---|---|
$6540 | 4 years | 9% | annually | |
$2375 | 7 years | 8.5% | semi-annually | |
$850 | 5 years | 10% | quarterly |
3. Calculate the Present Value. (3 marks)
Future Value | Time | Annual Rate | Compounded | Present Value |
---|---|---|---|---|
$4500 | 6 years | 7% | annually | |
$6500 | 3 years | 4.5% | semi-annually | |
$7890 | 4.5 years | 8% | quarterly |
4. What sum deposited now will amount to $10,000 in 3 years at 10% per annum, compounded semi-annually? (3 marks)
5. Two offers are received by Joshua Brown for his house. One is a cash offer of $175 000. The other is an offer of $88 000 cash and $95 000 to be paid in three years. If the money is 7% per annum compounded annually, which is the better offer and why? (3 marks)
6. An investment of $3000 is accumulated at 6% compounded quarterly for three and a half years. At the same time, the interest rate is changed to 9% compounded monthly. How much is the investment worth three years after the change in interest rate? (6 marks)
Corporate Finance A Focused Approach
ISBN: 978-1305637108
6th edition
Authors: Michael C. Ehrhardt, Eugene F. Brigham