You face three alternative income streams: Offer A, income is $70K in perpetuity. In offer B you earn 60K in first year, then salary increases at rate gB = 5% per year for n = 10, then salary stays constant (in other words, salary growth rate falls to zero in year n + 1) Offer C pays you $60K in first k = 10 years. After that, salary increases at rate gC = 10% forever. (that is, in years k + 1, k + 2,..). Interest rate r = 15%. (a) Calculate PVs of all three salary streams. (b)W hat0 sthe"crossover00numberofyears nofsalaryincreasesinjobB forwhichyouareindifferentbetweenAandB?Giveformula. (c) Similarly, what's the crossover rate of salary increase in job C, gC for which you would be indifferent between A and C" (d) Assume your personal income each year is taxed at linear rate 30%. Does that change your answers in (a), (b), (c)? Explain briefly. (e) Assume you interest-on-savings income is taxed at a linear rate 30%. Does that change your answers in (a), (b), (c)? Expain briefly.