6. Tim wants to buy an apartment that costs $750,000 with an 85% LTV mortgage. Tim got a 30 year, 3/1 ARM with an initial teaser rate of 3.75% and monthly payments. The reset margin on the loan is 300 basis points above 1 year CMT. The index was 1% at the time of origination. Tim also had to pay 3 points for this loan. Suppose the index rate will remain 1% for the life of the loan. Compute the true APR for this loan.

Uppose stanley's office supply purchases 50,000 boxes of pens every year. ordering costs are $100 per order and carrying costs are $0.40 per box. moreover, management has determined that the eoq is 5,000 boxes. the vendor now offers a quantity discount of $0.20 per box if the company buys pens in order sizes of 10,000 boxes. determine the before-tax benefit or loss of accepting the quantity discount. (assume the carrying cost remains at $0.40 per box whether or not the discount is taken.)

Down under products, ltd., of australia has budgeted sales of its popular boomerang for the next four months as follows: unit salesapril 74,000may 85,000june 114,000july 92,000the company is now in the process of preparing a production budget for the second quarter. past experience has shown that end-of-month inventory levels must equal 10% of the following month’s unit sales. the inventory at the end of march was 7,400 units. required: prepare a production budget by month and in total, for the second quarter.

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.