2. (a) Compute the amount a borrower must repay per month, given a mortgage loan having principal 500,000 Euro, a fixed monthly interest rate of 0.5% and a term of 10 years.

(b) Find the present value of a growing annuity, lasting 12 years, having payments which begin at 1,000 Euro in the first year and grow at a rate of 3% annually thereafter, and subject to an interest rate of 6% annually

(c) Find the present value of a perpetual revenue stream having flow rate R(t) = t + 2, which is subject to a fixed interest rate of 3%.