Please help me in answering my question:

Mrs. Johnson has just moved to London with her new job, in which she received a significant salary increase. Being new to the city, she is now trying to decide whether she should rent an apartment or buy one. She has spent the first weekend looking at different options and has shortlisted two options.

Option 1: Rent an apartment, which would cost her a total of 2,000 per month including everything. Every year the rent is due to increase by 2.5%. The contract is perpetual meaning she could theoretically stay there forever if she wanted.

Option 2: Buy an apartment, which costs 900,000 with an initial down payment of 100,000 and a 30-year loan for the remaining 800,000. The loan would carry an interest of 1.5%. After 30 years she would own the apartment 100% .

Assumptions

1. She will buy or rent the apartment on the 1st of January

2. Payments happen at the end of each period

Question.

a. How much rent would she have paid in total over the 10 years?

b If she chooses option 1, she believes she can invest 100,000 today and in addition, 600 each month in a financial product that offers 6% return. Assuming she plans to retire in 30 years, how much will she have saved up?