Question

7. The local electronics store is offering a promotion "1-year: same as cash," meaning that you can buy a TV now, and wait a year to pay (with no interest). So, if you take home a $1000 TV today, you will owe them $1000 in one year. If your bank is offering 4% interest, what is the true cost of the TV to you today?

Answer 1

Answer:

$961.54

Explanation:

we need to find out the present value of $1,000 in one year:

present value = future value / (1 + interest rate)ⁿ

• future value = $1,000
• interest rate = 4%
• n = 1

present value = $1,000 / (1 + 4%) = $1,000 / 1.04 = $961.54

this is an example of the financial principle of time value of money, i.e. one dollar today is worth more than one dollar tomorrow