Question

You are torn between two saving accounts where to put your $1,500 in scholarship money for a year until you need it for next year’s tuition. One is in Bank Wan and the other in C-T Bank. Bank Wan is offering a 2.5% nominal rate, with daily compounding of interest, and C-T Bank offers 3.0% with semi-annual compounding. Which one would you choose?

Answer 1

I would choose to invest in C-T bank since it offers $7.3675 more compared to Bank Wan

Step-by-step explanation:

The two options can be expressed as shown;

Option 1: Bank Wan

A=P(1+r/n)^nt

where;

A=Total amount after a given time

P=Initial deposit

r-Annual interest rate

n=number of times the interest is compounded annually

t=number of years of the investment

In our case;

P=$1,500

r=2.5%=2.5/100=0.025

n=365 days

t=1 year

Replacing;

A=1,500(1+0.025/365)^(365×1)

A=1,500(1.02530

A=1,537.97

Total amount after a year=$1,537.97 for Bank Wan

Option 2: C-T Bank

P=$1,500

r=3%=3/100=0.03

n=2

t=1

Replacing;

A=1,500(1+0.03/2)^(2×1)

A=1,500(1.015)^2

A=1,545.3375

Total amount after a year=$1,545.3375 for C-T Bank

Total amount received to be received from C-T Bank-Total amount to be received from Bank Wan

=(1,545.3375-1,537.97)=$7.3675

I would choose to invest in C-T bank since it offers $7.3675 more compared to Bank Wan