(4pts) Find the present value of a 10-year annuity-immediate of $300 per year (i) if the effective interest rate is 4% for the first 6 years and 5% for the last 4 years. l. (Answer: $2,413.37.) (2) if the first 6 payments are invested at an effective interest rate of4% and the final 4 payments are invested at 5%. (Answer: $2,366.45) 2. (2pts) A loan of $20,000 is being repaid with quarterly payments at the end of each quarter for ten years at nominal interest rate of 8% convertible quarterly. Find the amount of outstanding loan balance at the end of the fifth year. (Answer: $11,954.78.) 3. (4pts) A loan is being repaid by payments of $2000 at the end of each half-year at nominal rate of6% convertible semiannually, and a smaller final payment is made after the last regular payment. If the loan balance at the end of the third year is $15,000, find (1) the amount of the loan, (2) the loan balance at the time of the last regular payment. (Answers: $23,396.65, $1,216.88.) 4. (2pts) A 20-year annuity-due with annual payments where the first 5 payments are $400 each and increase by 5% per year thereafter. Find the accumulated value at the end of 20 years if the annual effective rate is 6%. (Answer: $19,868.97) 5. (3 pts) An employee currently is aged 40, earns $50,000 per year, and expects to receive 2% annual raises at the end of each year for the next 25 years. He decides to contribute 4% of annual salary at the beginning of each year for the next 25 years into a retirement plan. How much will be available for retirement atage 65 if the fund can earn a 3% effective rate of interest per year? (Answer: $93.353.42.)