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 $1,100 TV today, you will owe them $1,100 in one year. If your bank is offering 4% interest, what is the true cost of the TV to you today?
Let me know if you need any clarification .
Cost of TV today = Present value of future cash outflow | ||
Present value = Future value/(1+r)^t | ||
Future value= | $ 1,100.00 | |
r=rate of interest = | 4% | |
n = number of year = | 1 | |
Present value = | 1100/(1+4%)^1 | |
$ 1,057.69 | ||
Therefore true cost of TV = | $ 1,057.69 | |
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