Write a Java program called Lottery.java

Description

Assume a person wins the lottery and is given the choice of receiving a lump sum or annual payments. Prompt the user to enter the lump sum amount $($amtLump$),$ the annual payment $($pmt$),$ the interest rate $(r)$ in decimal $($Eg$.$ enter $.05$ instead of $5\%)$ and the number of payments $($ n $).$ Create a method called calcPV to calculate today's value of the annual payments $($pv$).$ Call the calcPV method from the main method using the parameters values given by the user $($pmt$,$ r$,$ n$)$ and store the return value into a double variable pv$.$ Display amtLump, pv and a message indicating which option is better.

You are REQUIRED to use a method to calculate pv$.$ Any submissions without the calcPV method will receive NO credit.

Sample runs and an Excel spreadsheet to test your calculations are attached. The formula to calculate pv is shown below:

$pv=pmt(\frac{1}{r}-\frac{1}{r(1+r{)}^n})$

$$

pv : present value

pmt: annual payment

$r$ : interest rate in decimals $($e$.$g$.5\%=\mathrm{.}05)$

n : number of years