Your subscription to Time T Magazine has run out and you can choose to renew it by paying $19.95 now and every year at this regular rate (ignore future inflation), or by paying for a lifetime subscription that costs $117.95 today. Payments for the regular subscription are made at the beginning of each year. Your annual opportunity cost (APY) is 6%. How many subscription payments would you need to make for the lifetime subscription to break even compared to the yearly deal? (Round up if necessary to obtain a whole number of payments.)
LIFETIME SUBSCRIPTION COST | $117.95 | ||||||||||||
TO BREAK EVEN: | |||||||||||||
Present value of annual payment | $117.95 | ||||||||||||
Annualpayment at beginning of the years | $19.95 | ||||||||||||
Discount Rate=Opportunity cost= | 6% | ||||||||||||
Number of subscription payment tobreak even | 6.992635 | Using Excel NPER function with Rate=6%, Pmt=-19.95,PV=117.95,type=1(Beginning of year payment) | |||||||||||
Number of subscription payment tobreak even= | 7 | (Rounded to the nearest whole number) | |||||||||||
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