Daniel is expecting to receive a research grant of $8,000 one year from now. If the interest rate is 5%, what is the value of this grant in today's dollars?
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- You would like to provide $145,000 a year forever for your heirs. How much money must you deposit today to fund this goal if you can earn a guaranteed 5.8 percent rate of return?You win a lottery payout of $10,000 a year for the next 30 years. If your investment rate is 8 percent, how much would an acceptable lump sum payment be?Yang is considering buying an asset that, starting 5 years from now, will pay $10,000 per year forever. Assume that the required return is 7.25%. What is the most Yang should pay for this asset?
- Zachary has purchased an investment that he expects to produce income of $3,000 at the end of the first year and $4,000 at the end of the second year. If he requires an 8% rate of return compounded annually, what is the maximum amount that he can pay and still earn the required rate of return?You estimate a college education will be $300,000 when your child enters college in 18years. You presently have $70,000 to invest. What annual rate of interest must you earn on yourinvestment to cover the cost of your child’s college education?Suppose you wish to invest in an annuity so that you will have $120,000 at some future date for your child’s education. You call several institutions and find that the best interest rate is 5.85% compounded monthly. In addition, you wish to make $350 monthly installments, with payments made at the end of each period. If you expect to attain this goal and give your child the $120,000 by his/her 18th birthday, about how long after he/she is born do you need to start investing in the annuity? Type an explanation and/or the calculations used to arrive at your answer. Construct the payment schedule for the first 6 payments by filling in the table below: period interest cum. int. principal balance 0 1 2 3 4 5 6
- Carlo Aldric wants to have P40,000 per year for 15 years during his retirement. What amount would you need to have invested at retirement to reach this goal if you could invest your money and receive a 5 percent return?you estimate that you will need about $80,000 to send your child to college in eight years.Y ou have about $35,000 now.If you can earn 20 percent per year,will you make it? At what rate will you just reach your goal?How much will you have in 11 years??
