Assume you will receive the cash flows shown in the table below.

Time period $0$ indicates today. Time period $1$ indicates $1$ year from

today. Which of the $5$ time value of money equations shown below

calculates the present value of these cash flows assuming a

discount rate of $"r"?$ If none of these expressions calculate the

present value then pick the expression that would be closest to the

correct answer. $($Camvas shuffles the order of the answers so be

sure to select the answer with the correct equation name$).$

Equation A: $PV=40+\frac{20}{(1+r{)}^2}+\frac{20}{(1+r{)}^3}$

Equation B: $PV=40+\frac{20}{(1+r{)}^3}$

Equation C: $PV=\frac{40}{(1+r{)}^1}+\frac{20}{(1+r{)}^2}+\frac{20}{(1+r{)}^3}+\frac{20}{(1+r{)}^3}$

Equation D: $PV=40+20[\frac{1}{r}-\frac{1}{r(1+r{)}^4}]$

Equation E: $PV=40+20[\frac{1}{r}-\frac{1}{r(1+r{)}^4}]-\frac{20}{(1+r{)}^1}$

Equation D

Equation C

Equation A

Equation E

Equation B