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Bruce bought an apartment at a price of $7,000,000 on January 1, 2020. He borrowed 70% of the property value from Bank at that time.

Bruce bought an apartment at a price of $7,000,000 on January 1, 2020. He borrowed 70% of the property value from Bank at that time. The first monthly installment was due on January 31, 2020. The mortgage is a floating-rate one and has a maturity of 10 years. The interest rate on the loan is set equal to the prime rate minus 1.5%. On March 1, 2022, Bruces apartment had a market value of $9,000,000. Bruce talked to Hang Seng Bank to arrange a new mortgage to replace the old one. In the new mortgage, Bruce borrowed 70% of the market value of his apartment. The new mortgage has a maturity of 10 years with the first monthly installment due on March 31, 2022. The interest rate is set equal to the prime rate minus 2.5%. The prime rate has been constant at 5% from January 2020 to March 2022.

  • (a) What is the monthly installment of the original mortgage?
  • (b) How much would Bruce receive from bank when the new mortgage was arranged to replace the old one on March 1, 2022?
  • (c) What is the monthly installment of the new mortgage?

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