As per The Economist (June 24, 2017), the Argentinian government issued its first 100year bond, with cash flows denominated in dollars. The bond thus now matures in, for simplification purposes, 97 years. The current bond has a $1,000 face value and the following monthly, endofmonth coupon payments: $10/ month for 47 years, $30/month for 20 years, and then $50/month for 30 years. As Argentina has defaulted on its bonds six times in the past 100 years, you decide that a 18%/year required return is an appropriate (geometric) average required return over the entire horizon. Thus, use a required return of 18%/year and answer the following questions. You might recognize that this bonds series of cash flows consists of three annuities and a single facevalue cash flow at maturity. I will refer to the annuities, in chronological order, as Annuity A, Annuity B, and Annuity C. Importantly, I do not want you to do any calculations here. Rather, I am asking questions about the right approach to ultimately valuing this annuity. (a1) The equations for present value of an ordinary annuity are [in math] C / r ( 1 1/(1+r)N ) and [in Excel] PV(rate, nper,pmt,,0). State the values that you would use for C (pmt), r (rate), and N (nper) for Annuity A. (a2) State the values that you would use in the presentvalue equation for C (pmt), r (rate), and N (nper) for Annuity B. You do not need to calculate this present value; just call the answer X (or or !!! or gazillion). (a3) State the values that you would use in the presentvalue equation for C (pmt), r (rate), and N (nper) for Annuity C. You do not need to calculate this present value; just call the answer Z (or or !!! or gazillion). (b1) Write the simple math equation for transforming X (from part a2) into a value today. (b2) Write the simple math equation for transforming Z (from part a3) into a value today. (b3) Write the simple math equation for transforming the $1,000 facevalue payment into a value today. [Suggestion: A timeline might be very helpful as you organize your work.]