Consider the following information on stocks a, b, c and their returns (in decimals) in each state: state prob. of state a b c boom 20% 0.27 0.22 0.16 good 45% 0.16 0.09 0.07 poor 25% 0.03 0 0.03 bust 10% -0.08 -0.04 -0.02 if your portfolio is invested 25% in a, 40% in b, and 35% in c, what is the standard deviation of the portfolio in percent? answer to two decimals, carry intermediate calcs. to at least four decimals.

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note:

Jose recently died with a probate estate of $900,000. he was predeceased by his wife, guadalupe, and his daughter, lucy. he has two surviving children, pete and fred. jose was also survived by eight grandchildren, pete’s three children, naomi, daniel, nick; fred’s three children, heather, chris and steve; and lucy’s two children, david and rachel. jose’s will states the following “i leave everything to my three children. if any of my children shall predecease me then i leave their share to their heirs, per stirpes.” which of the following statements is correct? (a) under jose’s will rachel will receive $150,000. (b) under jose’s will chris will receive $150,000. (c) under jose’s will nick will receive $100,000. (d) under jose’s will pete will receive $200,000.

The purchasing agent for a company that assembles and sells air-conditioning equipment in a latin american country noted that the cost of compressors has increased significantly each time they have been reordered. the company uses an eoq model to determine order size. what are the implications of this price escalation with respect to order size? what factors other than price must be taken into consideration?