Please provide ans with calculations

Problem 4) Suppose a banker agrees to make a 100,000 30-year loan to an individual to purchase a home, under the terms of the loan, the monthly payments to be made by the individual with all be the same. The annual interest rate the banker charges for the loan is 12% how much must the fixed monthly payment be in order for the banker to realize annual interest rate of 12% (Hint, using ordinary annuity with monthly compound) a) $10,286 b) $277 c) $311 d) $3,333 e) $2100 f) $1028 Problem 5) For example, suppose that 100,000 is invested for 7 years and three months, Since 3 months is 0.25 of 1 year, N in the future value formula is 7.25. Assuming an annual interest rate of 5%, the future value of $100,000 invested for 7 years and 3 month is : a) $142,437 b) $140,700 c) $140,000 d) $147,745 e) $150,000 Problem 7) Diettreich Electronics wants its shareholders to earn a 15% return on their investment in the company. At what price would the stock need to be priced today if Diettreich Electronics had a $1.00 constant annual dividend forever? a) $5.25 b) $6.67 c) $7.0 d) $1.00