On january 1, 2019, marge made a $75,000 interest-free loan to her son, steve, who used the money to start a new business. marge's sources of income in 2019 were salary of $100,000 and interest income of $4,000 from bonds she owns. steve's only sources of income in 2019 were $50,000 from the business and $500 of interest on his checking account. the relevant federal interest rate was 3%. the full amount of the loan was outstanding at the end of the year. describe the effect of the loan on the 2019 taxable income of both the borrower and lender. effect on marge's 2019 taxable income: . effect on steve's 2019 taxable income: .. b. how would your answer to part a change if the amount of the loan is $150,000 instead of $75,000? effect on marge's 2019 taxable income: effect on steve's 2019 taxable income:

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.

What’s the present value of a perpetuity that pays $250 per year if the appropriate interest rate is 5%? $4,750 $5,000 $5,250 $5,513 $5,788what is the present value of the following cash flow stream at a rate of 8.0%, rounded to the nearest dollar? cash flows: today (t = 0) it is $750, after one year (t = 1) it is $2,450, at t = 2 it is $3,175, and at t=3 it is $4,400. draw a time line. $7,917 $8,333 $8,772 $9,233 $9,695

Q3. loral corporation manufactures parts for an aircraft company. it uses a computerized numerical controlled (cnc) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of ± 0.020 inch. the cnc process that manufactures these parts has a mean of 1.285 inches and a standard deviation of 0.005 inch. compute the process capability ratio and process capability index, and comment on the overall capability of the process to meet the design specifications.