Lab 2 Time value,NPV etc Shakshi Maheshwari
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SENECA POLYTECHNIC COLLEGE
MARKETING MANAGEMENT
MODULE NAME
FINANCIAL ASPECTS OF MARKETING
MKM 704- ZTT
SEMESTER-1
FALL 2023
SUBMITTED TO: -
PROF. CHANDRA PERSAUD
SUBMITTED BY: -
SHAKSHI MAHESHWARI
Question 1:
-
If you invest $12,000 today, how much will you have
a.
In 6 years at 7 percent
b.
In 15 years at 12 percent
To calculate the future value of an investment, we will use the following formula:
Future Value = Present Value * (1 + Annual Interest Rate)^Number of Years which in short
can be written as FV
= PV( 1 + i)
n Given in the question: Investment – 12,000
In 6 years at 7%
In 15 years at 12%
a. In 6 years at 7 percent: FV
= PV(1 + i)
n Future Value = 12000 * (1 + 0.07)^6
Future Value = 12000 * (1.5007)
Future Value = 18008.4
So, if we invest $12,000 today at an annual interest rate of 7 percent, we will have $18,008.4
in 6 years.
b. In 15 years at 12 percent: FV
= PV(1 + i)
n Future Value = 12000 * (1 + 0.12)^15
Future Value = 12000 * (5.4735)
Future Value = 65682
If we invest $12,000 today at an annual interest rate of 12 percent, we will have $65,682 in
15 years.
Question 2:
-Delia has a choice between $103,000 in 10 years or $35,000 today. a.
Calculate the present value of $103,000, If long term rates are 11 percent? b.
What should be her choice? $103,000 in 10 years or $35,000 today.
To figure out which option Delia should choose, we will find the present value of $103,000 if
long-term rates are 11% and then contrast it to the $35,000 that she can have today.
a. Present Value = Future Value / (1 + Annual Interest Rate)^Number of Years
Present Value = 103,000 / (1 + 0.11)^10
Present Value = 103,000 / (1.11)^10
Present Value = 36,275
So, the present value of $103,000 is $36,275 received in 10 years at 11% rate.
b. Comparing both the options we can see that:
Option 1: Delia can receive $103,000 in 10 years, which has a present value of 36,275.
Option 2: Delia can have $35,000 today.
Hence, it's clear that Option 1 is the better choice if Delia wants to maximize the value of her
money over period of time. Hence, she should choose to receive $103,000 in 10 years rather
than taking $35,000 today.
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