Ataxia Fitness Center is considering an investment in some additional weight training equipment. The equipment has an estimated useful life of 10 years with no salvage value at the end of the 10 years. Ataxia's internal rate of return on this equipment is 8%. Ataxia's discount rate is also 8%. The payback period on this equipment is closest to (Ignore income taxes.):

Variable rate cd’s = $90 treasury bills = $150 discount loans = $20 treasury notes = $100 fixed rate cds = $160 money market deposit accts. = $140 savings deposits = $90 fed funds borrowing = $40 variable rate mortgage loans $140 demand deposits = $40 primary reserves = $50 fixed rate loans = $210 fed funds lending = $50 equity capital = $120 a. develop a balance sheet from the above data. be sure to divide your balance sheet into rate-sensitive assets and liabilities as we did in class and in the examples. b. perform a standard gap analysis and a duration analysis using the above data if you have a 1.15% decrease in interest rates and an average duration of assets of 5.4 years and an average duration of liabilities of 3.8 years. c. indicate if this bank will remain solvent after the valuation changes. if so, indicate the new level of equity capital after the valuation changes. if not, indicate the amount of the shortage in equity capital.

Six years ago, an 80-kw diesel electric set cost $160,000. the cost index for this class of equipment six years ago was 187 and is now 194. the cost-capacity factor is 0.6. the plant engineering staff is considering a 120-kw unit of the same general design to power a small isolated plant. assume we want to add a precompressor, which (when isolated and estimated separately) currently costs $13291. determine the total cost of the 120-kw unit. (hint: skip $ and comma symbols)

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.