"Helen recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.7, 0.2, and 0.1, respectively, then what are the expected return and the standard deviation of the return on Helen’s investment? (Round answers to 3 decimal places, e. g. 0.125 and round intermediate calculations to 5 decimal places, e. g. 0.07680.) Expected return Standard deviation"

Expected returns = (return with healthy economy x probability of healthy economy) + (return with soft economy x probability of soft economy) + (return of recessive economy x probability of recessive economy) = (30% x 0.7) + (10% x 0.2) + (-25% x 0.1) = 20.5%

Variance = (30² x 0.7) + (10² x 0.2) + (-25² x 0.1) - 20.5² = 630 + 20 + 62.5 - 420.25 = 292.25

Standard deviation = √292.25 = 17.095 = 17.1%

it is a i took the test.

of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.