Your parents plan to give you $200 a month for four years while you are in college. At a discount
rate of 6 percent, compounded monthly, what are these payments worth to you when you first start
college?
$8,797.40
$8,409.56
$8,198.79
$8,516.06
$8,279.32
APV = $200 × [(1 – {1 / [1 + (.06 / 12)]4 × 12}) / (.06 / 12)] = $8,516.06
you just won the lottery! As your prize you will receive $1,500 a month for 150 months. If you can
earn 7 percent, compounded monthly, on your money, what is this prize worth to you today?
$137,003.69
$149,676.91
$137,962.77
$148,104.26
$150,723.76
APV = $1,500 × [(1 – {1 / [1 + (.07 / 12)]150}) / (.07 / 12)] = $149,676.91
Olivia is willing to pay $185 a month for four years for a car payment. If the interest rate is 4.9
percent, compounded monthly, and she has a cash down payment of $2,500, what price car can she
afford to purchase?
$10,961.36
$10,549.07
$8,533.84
$8,686.82
$8,342.05
PV = $2,500 + {$185 × [(1 – {1 / [1 + (.049 / 12)]4 ×12}) / (.049 / 12)]} = $10,549.07
You have $2,500 to deposit into a savings account. The five banks in your area offer the following
rates. In which bank should you deposit your savings?
Bank A: 3.75%, compounded annually
Bank B: 3.69%, compounded monthly
Bank C: 3.70% compounded semi-annually
Bank D: 3.67% compounded continuously
Bank E; 3.65% compounded quarterly
EAR Bank A = [1 + (.0375 / 1)]1 – 1 = .03750, or 3.750%
EAR Bank B = [1 + (.0369 / 12)]12 – 1 = .03753, or 3.753%
EAR Bank C = [1 + (.0370 / 2)]2 – 1 = .03734, or 3.734%
EAR Bank D = e.0367 – 1 = .03738, or 3.738%
EAR Bank E = [1 + (.0365 / 4)]4 – 1 = .03700, or 3.700%
Bank B offers the highest EAR.