Use a financial calculator: $(10$ points$)$ A $30$ year annuity immediate pays $5000$ at the end of years $1-10,4000$ at the end of years $11-20$ and $6000$ at the end of years $21-30.$ At an annual effective interest rate of $i,$ the present value for the annuity is $44514.04536.$ A perpetuity immediate pays $10,000$ at the end of years $1-30,20,000$ at the end of years $31-60$ and $15,000$ thereafter. Calculate the present value for the perpetuity based on an annual effective interest rate of $i.$

HINT: You might have to use CF and IRR functions on the financial calculator.