You invest $10,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 21% and a Treasury bill with a rate of return of 5%. How much money should be invested in the risky asset to form a portfolio with an expected return of 11%

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Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

1. what is the amount of interest earned after two years on a $100 deposit paying 4 percent simple interest annually? $8.00 $4.08 $8.16 $4.00 2. what is the amount of compound interest earned after three years on a $100 deposit paying 8 percent interest annually? $24.00 $8.00 $16.64 $25.97 3. a business just took out a loan for $100,000 at 10% interest. if the business pays the loan off in three months, how much did the business pay in interest? $2,500.00 $10.00 $250.00 $10,000.00 4. what is the annual percentage yield (apy) for a deposit paying 5 percent interest with monthly compounding? 5.00% 5.12% 79.59% 0.42%