Over a five-year period, the quarterly change in the price per share of common stock for a major oil company ranged from -9% to 14%. A financial analyst wants to learn what can be expected for price appreciation of this stock over the next two years. Using the five-year history as a basis, the analyst is willing to assume that the change in price for each quarter is uniformly distributed between -9% and 14%. Use simulation to provide information about the price per share for the stock over the coming two-year period (eight quarters). (a) Use the random numbers 0.52, 0.99, 0.12, 0.15, 0.50, 0.77, 0.40, and 0.52 to simulate the quarterly price change for each of the eight quarters.
Quarter r Return %
1 0.52 %
2 0.99 %
3 0.12 %
4 0.15 %
5 0.5 %
6 0.77 %
7 0.4 %
8 0.52 %
(b) If the current price per share is $80, what is the simulated price per share at the end of the two-year period?
(c) Discuss how risk analysis would be helpful in identifying the risk associated with a two-year investment in this stock.

answer; by looking at total product,marginal product,and changes in both after changes in inputs

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.