Question
A share may be valued based on the discounted value of the cash flow that the shareholder receives as dividends, in perpetuity. Suppose a share
- A share may be valued based on the discounted value of the cash flow that the shareholder receives as dividends, in perpetuity.
Suppose a share is expected to pay you a dividend of $6.81 one year from now. Thereafter, the dividend will grow at 2.1% per annum, in perpetuity. If the relevant discount rate is 8.6% p.a. (effective), the share's value today is (to the nearest cent; don't include $ sign or commas):
2. You invest in your savings account $4022 today, $2000 at the end of year one and $2500 at the end of year three.If the interest rate is 4.6% per annum, compounded annually, then the amount you will have in exactly three years is closest to:
3. Your great grandfather established a family trust 25 years ago. The trust has, ever since its creation, earned 12.1% per annum (effective annual rate) and pays $29,000 each year-end to family descendants. This will continue in perpetuity. The amount of funds invested by your great grandfather was (to the nearest whole dollar; do not include $ sign or commas):
4. Loan repayments of $1100 at the beginning of each month for 6 year(s) are equivalent to a single payment of $X today (t=0). If interest is 11.7% p.a. compounding monthly, then $X is closest to:
5. A bank offers personal loans at 10.3%p.a compounding monthly. The effective annual rate of interest (EAR) is ( to the nearest two decimal places):
6. Payments of $1000 per month are deposited into a fund at the end of each month for 9 years. If interest is 10.7% p.a. compounding monthly, the size of the fund at the end of 9 years will be (to nearest dollar but don't include $ sign or commas):
7. Your parents established a trust fund on 1 July 2016 which is designed to pay you $1,000 each year commencing 1 July 2023. If the effective annual interest rate is 6.7%, the amount your parents contributed to the fund on 1 July, 2016 is:
8. Jill borrows $11,000 and will repay it in 3 equal year-end repayments over 3 years. If the interest rate is 14.6% per annum compounded monthly, Jill's annual will be (rounded to nearest dollar; don't include the $ sign or commas):
9. A factory lease for 5 years where the payments are due at the end of each month would be an example of a(n):
10. Payments of $200 at the end of each month for the next 7 year(s) are equivalent to a single payment of $X now (t=0). If interest is 13.8% p.a. compounding monthly, then $X is (to the nearest cent, do not show dollar sign or commas eg $2,185.6323 is shown 2185.63) :
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