Axel has a promissory note for $1750 dated March 15, 2013. The note is due in 360 days with interest at 6.5%. If Axel sells the note to a bank on December 19, 2013 for $1819.17, what rate of interest will he realize on his investment?

You would like to have ​$53,000 in 13 years. To accumulate this​ amount, you plan to deposit an equal sum in the bank each year that will earn 6 percent interest compounded annually. Your first payment will be made at the end of the year.   a.  How much must you deposit annually to accumulate this​ amount? b.  If you decide to make a large​ lump-sum deposit today instead of the annual​ deposits, how large should this​ lump-sum deposit​ be? ​ (Assume you can earn 6 percent on this​ deposit.) c.  At the end of five​ years, you will receive ​$20,000 and deposit this in the bank toward your goal of ​$53,000 at the end of year 13. In addition to the​ lump-sum deposit, how much must you deposit in equal annual​ amounts, beginning in year 1 to reach your​ goal? ​ (Again, assume you can earn 6 percent on your​ deposits.)

On his son's fifth birthday, a man decides to deposit a certain amount which will be equivalent to P28,000 with today's purchasing power of the peso on his son's eighteenth birthday when he starts his college education. If the bank pays 52% interest compounded annually but the rate of inflation is 8.7% compounded annually, how much should the man deposit now?

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, Bruce's 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…