adjustable rate mortgage vs. fixed rate mortgage question……finance question?

Consider the following scenario: John buys a house for $ 150,000 and takes out a five year adjustable rate mortgage with a beginning rate of 6%. He makes annual payments rather than monthly payments.

Unfortunately for John, interest rates go up by 1% for each of the five years of his loan (Year 1 is 6%, Year 2 is 7%, Year 3 is 8%, Year 4 is 9%, Year 5 is 10%).

Calculate the amount of John’s payment over the life of his loan. Compare these findings if he would have taken out a fix rate loan for the same period at 7.5%. Which do you think is the better deal?

I worked out the problems and i ended up getting these
Adjusted rate
year one=9000
year 2= 10500
year 3= 12000
year 4= 13500
year 5= 15000
total= 60000

fixed rate

so the best one would be the adjustable rate. Am i correct? If I am not please show me how to do the problem thanks

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