Question

Assume you just deposited $1,000 into a bank account. The current real interest rate is 2%, and inflation is expected to be 6% over the next year. What nominal rate would you require from the bank over the next year

Answer 1

Part 1:

Nominal rate=8.12%

Part 2:

$1,081.2 is the money you will have at the end of one year.

Part 3:

The Saving account is short of $31.8 ($1113-$1081.2) to buy the bicycle after 1 year because of inflation.

Step-by-step explanation:

Real Interest rate=2%

Inflation rate=6%

Deposited amount=$1000

Part 1:

Formula:

Real interest rate=

Nominal rate=8.12%

Part 2:

How much money will you have at the end of one year can be calculated as:

where:

FV is the future value

PV is the present value=$1000

i is the Nominal interest rate (Calculated above)=8.12%

n is the number of years=1 year

$1,081.2 is the money you will have at the end of one year.

Part 3:

Calculating the price of bicycle after one year due to inflation:

The Saving account is short of $31.8 ($1113-$1081.2) to buy the bicycle after 1 year because of inflation.