A woman is planning to retire in 10 years. She wishes to deposit a regular amount every six months until she retires, so that beginning one year following retirement she will receive annual payments of $20,000 for the next 20 years. How much must be deposited every six months if the annual nominal interestra te is 8%, compounded semiannually?

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience. type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.1 20.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Melissa is a very generous single woman. before this year, she had given over $11,400,000 in taxable gifts over the years and has completely exhausted her applicable credit amount. in the current year, melissa gave her daughter riley $100,000 and promptly filed her gift tax return. melissa did not make any other gifts this year. how much gift tax must riley pay the irs because of this transaction?

Marta communications, inc. has provided incomplete financial statements for the month ended march 31. the controller has asked you to calculate the missing amounts in the incomplete financial statements. use the information included in the excel simulation and the excel functions described below to complete the task