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A bank is newly established and offers savings deposits rate of 3% compounded semi-annually. If you deposit $50,000 into that account, how many years will
- A bank is newly established and offers savings deposits rate of 3% compounded semi-annually. If you deposit $50,000 into that account, how many years will you have to wait until your account is worth $70,000? (3 marks)
- You need $200,000 for a new house in 6 years. If you could earn 0.8% per month, how much will you have to deposit today? (3 marks)
- At 5% interest rate compounded quarterly, how many years does it take to quadruple your money? (3 marks)
- An investment guarantees that you can receive back $9,000 five years later by investing $6,000 today. What interest rate do you earn if the rate is compounded annually? (3 marks)
- Suppose there is an investment project with the following cash flows to be received at the end of next three years.
If the interest rate is 8 percent:
Year | Cash Flow |
1 | $600 |
2 | 900 |
3 | 1,300 |
- What is the value of these cash flows at the end of Year 3? (3 marks)
- What is the value of these cash flows today (today is Year 0)? (3 marks)
- Suppose you need to borrow $3,000 to take a vacation trip to Thailand. The bank offers a 24-month instalment plan with an interest rate of 6% per year. How much would your monthly payment be? (3 marks)
- An insurance company is selling a perpetual annuity contract that pays $3,000 monthly. The contract sells for $108,000. What is the monthly return on this investment vehicle? (3 marks)
- What is the present value of an annuity that pays ten annual cash flows of $3,000 each, beginning in 5 years? Assume that the appropriate discount rate is 8%. (6 marks)
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