#Face value
FV = 1000

#Coupon Rate
cr = .02

#Coupon payment
coupon = FV*cr

#Periods
periods = 5

#We get one payment every year
payments = [coupon]*periods

#Last period we also get the face value
payments[-1]+=FV
print(payments)

time = list(range(1,6))

#Get the present value for each year
PV = [x/(1.05)**t for x,t in zip(payments,time)]
print(PV)

#Find the sum over the years
PV = sum(PV)
print(PV)

#Bringing back our timeline function
import matplotlib.pyplot as plt
def timelinePlot(periods,values):
#Create our plot
    fig = plt.figure(figsize=(12, 4))
    ax = fig.add_subplot(111)

    #Set the limits of our plots (in terms of values, not dimensions)
    ax.set_xlim(0,10)
    ax.set_ylim(0,10)

    #Set the minimums that we will be plotting in (we give a 1 or 10% margin on each side)
    xmin = 1
    xmax = 9

    #Set the y of where our plot will be centered around, 5 is the middle
    y = 5

    #Set height for our ticks
    height = 1

    #Get the spacing between each tick
    delta = (xmax-xmin)/periods

    #Create the positions for each tick
    positions = [xmin+delta*x for x in list(range(periods+1))]

    #Plot the horizontal line
    plt.hlines(y, xmin, xmax, color='grey')

    for t in range(periods+1):
        #Plot the tick
        plt.vlines(positions[t], y - .5, y + .5, color='grey')

        #Plot the time period below
        plt.text(positions[t], y-1.2, t, horizontalalignment='center',fontsize=14)

    #Get rid of axes
    plt.axis('off')

    for value in values:
        #Plot a red dot on the year that our value is at
        plt.plot(positions[value[1]],y, 'ro', ms = 15, mfc = 'r')
        #Plot the values above, use rounding to keep it clean
        plt.text(positions[value[1]], y+1.2, "$"+str(round(value[0],1)), horizontalalignment='center',fontsize=18)


    plt.show()

#Plot the data
data = [(-PV,0)]
for x,t in zip(payments,time):
    data.append((x,t))

timelinePlot(5,data)