Capital Gain Calculator Write a Python program called capital$\_$gain.py to compute and display the total growth yield of an investment on maturity. The growth yield depends on the initial amount invested $($i$.$e$.$ principal$),$ the duration of the investment $($the number of years before cashing the growth$),$ and the base growth rate. The principal, investment duration and the base growth rate are to be provided as user inputs to the program. The growth rates are applied yearly on the principal, according to the schedule given below.

Years years years $>10$ base on the portion of the principal that is $$50,000$ or less, plus $1\mathrm{.}25*$ base on the portion of the principal over $$50,000$ up to $$100,000,$ plus $1\mathrm{.}5*$ base on the portion of the principal over $$100,000$ up to $$200,000,$ plus $2*$ base on the portion of the principal over $$200,000.1\mathrm{.}5*$ base on the portion of the principal that is $$150,000$ or less, plus $1\mathrm{.}75*$ base on the portion of the principal over $$150,000$ up to $$250,000,$ plus $2*$ base on the portion of the principal over $$250,0001\mathrm{.}75*$ base on the portion of the principal that is $$300,000$ or less, plus $2*$ base on the portion of the principal over $$300,000.$ The expected input$/$output behavior of the program is illustrated below for two example inputs:

Enter principal amount: $75000$ Enter base rate: $0\mathrm{.}05$ Enter duration $($number of years$)$: $5$ Growth: $$20312\mathrm{.}5$

Enter principal amount: $100000$ Enter base rate: $0\mathrm{.}03$ Enter duration $($number of years$)$: $7$ Growth: $$31500\mathrm{.}0$Write a Python program called capital$\_$gain.py to compute and display the total growth yield of an investment on maturity. The growth yield depends on the initial amount invested $($i$.$e$.$ principal$),$ the duration of the investment $($the number of years before cashing the growth$),$ and the base growth rate. The principal, investment duration and the base growth rate are to be provided as user inputs to the program. The growth rates are applied yearly on the principal, according to the schedule given below.

$\backslash$table$[[$Years years years $>10],[\backslash$table$[[-$ base on the portion of$],[$the principal that is$],[$$$50,000$ or less, plus$],[-1\mathrm{.}25*$ base on the$],[$portion of the principal$],[$over $$50,000$ up to$],[$$$100,000,$ plus$],[-1\mathrm{.}5*$ base on the$],[$portion of the principal$],[$over $$100,000$ up to$],[$$$200,000,$ plus$],[-2*$ base on the portion$],[$of the principal over$],[$$$200,000.]],\backslash$table$[[-1\mathrm{.}5*$ base on the portion$],[$of the principal that is$],[$$$150,000$ or less, plus$],[-1\mathrm{.}75*$ base on the$],[$portion of the principal$],[$over $$150,000$ up to$],[$$$250,000,$ plus$],[-2*$ base on the portion of$],[$the principal over$],[$$$250,000]],\backslash$table$[[-1\mathrm{.}75*$ base on the$],[$portion of the principal$],[$that is $$300,000$ or less,$],[$plus$],[-,2*$ base on the portion$],[$of the principal over$],[$$$300,000.]]]]$

The expected input$/$output behavior of the program is illustrated below for two example inputs:

Enter principal amount: $75000$

Enter base rate :$0\mathrm{.}05$

Enter duration $($number of years$)$:$5$

Growth: $$20312\mathrm{.}5$

Enter principal amount: $100000$

Enter base rate:$0\mathrm{.}03$

Enter duration $($number of years$)$:$7$

Growth: $$31500\mathrm{.}0$