Introduction

Hi! I am a Graduate Student at University of Cincinnati, MS in Business Analytics. I grew up in Bangalore, India.

Academic Background

Telecommunication Engineering -R.V. College of Engineering,Bangalore.

Professional Background

I am an analytics professional with 2 years of experience in working across multiple portfolios in banking.I have implemented analytical frameworks that helped clients enhance the existing revenue streams and tap customer sentiment to respond more quickly to tastes and needs.

Week 1 Exercises

  1. Compute \(100(1+0.05/12)^{24}\)
X <- 100*((1+(0.05/12))^24)
X
## [1] 110.4941
  1. What is the remainder when 3333 is divided by 222?
y <- 3333%%222
y
## [1] 3

3.investigate the behavior of \((1+1/n)n\) for large, integer values in n.

for(i in 10:20)
{
n=10^i
z <- (1+1/n)^n
print(z)
}
## [1] 2.718282
## [1] 2.718282
## [1] 2.718523
## [1] 2.71611
## [1] 2.71611
## [1] 3.035035
## [1] 1
## [1] 1
## [1] 1
## [1] 1
## [1] 1

4.the Economic Order Quantity (EOQ) gives the optimal order quantity as \(Q=sqrt(2DK/h)\) where D is the annual demand, K is the fixed cost per order, and h is the annual holding cost per item. Create and set the variables D=1000,K=5, and h=0.25 and compute the associated value of Q.

D<-1000
K<-5
h<-0.25
Q<-sqrt(2*D*K/h)
Q
## [1] 200

5.For an initial principal amount P and a nominal annual interest rate r that is compounded n times per year over a span of t years, the final value of a certificate of deposit is \(F=P(1+r/n)^{nt}\). Create and set the variables P=100, r=0.08, n=12, and t=3 and compute the associated value of F.

P<-100
r<-0.08
n<-12
t<-3
F<-P*(1+r/n)^(n*t)
F
## [1] 127.0237