An investment firm has a new security for sale. You pay them $$200,000$ today and the company will give you back $$20,000$ at the end of the first year, $$25,000$ at the end of year $2,$$$30,000$ at the end of year $3,$ $$35,000at$ the end $of$ year $4,$ $$40,000at$ the end $of$ year $5,$ $$45,000at$ the end $of$ year $6,$ $$50,000at$ the end $of$ year $7,$$$55,000$ at the end of year $8,$ and $$60,000$ at the end of year $9.[$Total $14$ Points$]$

a$.$ Calculate the NPV of this investment if the discount rate is $10\%.[3$ points$]$

b$.$ Calculate the IRR of this investment. $[2$ points$]$

c$.$ Use the IRR computed in part B above as the discount rate and compute a loan

amortization table for the investment. $[5$ points$]$

d$.$ Assume the discount rate for the first five years is $8\%,$ but for the last four years it is

$12\%.$ What is the NPV of the investment? $[4$ points$]$