Lab Questions: Lab 1 and Lab 1.5

Lab One: Questions Two and Three

Question 2

PV = 60000 #You Borrow $60,000

r = 0.05 # Yearly Interest = 5%

n = 8 # 8 years

r = r/12 #Monthly Payment

n = n*12 #96 months

top = r* PV
bottom = 1-(1+r)**-n
fraction = top / bottom
P=fraction
print ("P = "+str(P))
print ("PV = "+str(PV))
print ("Monthly Interest = "+str(r))
print ("Number of Periods in Months = "+str(n))

Question 3

PV = 60000 #You Borrow $60,000

r = 0.05 # Yearly Interest = 5%

n = 48 
r = r/12 #Monthly Payment 

#96 months

P=759.59520072743

part1=PV*(1+r)**n
part2=P*((((1+r)**n)-1)/r)
FV=part1-part2
print(FV)

Lab 1.5 Questions 1-3

Question 1

import math
from builtins import printfrom builtins import strr = 0.06 #Annual Interest RateP = 1000 #Beginning Balance of a Savings Accountt = 2 #Number of Yearsn = 1v = (P)*((1)+(r/n))**(n*t)
va = (P)*((1)+(r/12))**(12*t)
vb = (P)*((1)+(r/365))**(365*t)
vc = (P)*((1)+(r/8760))**(8760*t)
print ("Compounded Yearly: Balance After Two Year(s)= " +str(v))
print ("Compounded Monthly: Balance After Two Year(s)= " +str(va))
print ("Compounded Daily: Balance After Two Year(s)= " +str(vb))
print ("Compounded Hourly: Balance After Two Year(s)= " +str(vc))
print ("Limit = $" +str(P*math.e**(r*t)))

Question 2

import math
from builtins import print

P = 100r = (0.06/12)
n = 2 * 12FV = (P)*((((1+r)**n)-1)/r)
print("FV = $"+str(FV))

Question 3

import math
from builtins import print
P = 100r = 0.06/12FV = 4000


a = (1 + ((FV * r)/P))
b = math.log(a)
c = 1+r
d = math.log(c)
print ("Number of Periods = "+ str(b/d))