Hi, I would like to ask for help about this question. I need the work out as well in order to let me understand.

Multiple Choice Question 1.1 You have taken a mortgage of $500,000 to purchase a house. The mortgage has to be repaid in equal monthly installments over 30 years. The annual nominal interest rate is 12%. How much of the loan will still be outstanding at the end of 10 years? (A) $354,980.01 (B) $432,145.90 (C) $467,089.71 (D) $325,000.00 (E) $465,981.25 Question 1.2 Chan borrowed $20,000 to purchase a car. This loan is to be repaid in equal monthly installments of $500 over 5 years. What is the effective annual rate (EAR) of interest of this loan? (A) 12.55% (B) 24.87% (C) 15.78% (D) 18.71% (E) 19.00% Question 1.3 An uncle of yours will be retiring in exactly 15 years from today. In planning for his retirement, he is considering the purchase of a 20 year annuity of $5,000 per year beginning exactly 15 years from now. If his required rate of return on the investment is 10% per annum, how much do you think he should pay today for this annuity? (A) $10,190 (B) $11,209 (C) $23,939 (D) $26,333 (E) $100,000 Lucas Laboratories' last dividend was $1.50 which is expected to grow at a constant rate of 5 percent and its current share price is $15.75. If the shareholders required rate of return is 15 percent per annum, what is the expected dividend yield and expected capital gains yield for the coming year? (A) 0%, 15% (B) 5%, 10% (C) 10%, 5% (D) 15%, 0%. (E) 15%, 5% Which of the following is true about a bond that is trading at par? (A) The face value of the bond is less than its market value and its coupon rate is greater than its required rate of return (B) The face value of the bond is less than its market value and its coupon rate is equal to its required rate of return (C) The face value of the bond is equal to its market value and its coupon rate is equal to its required rate of return (D) The face value of the bond is greater than its market value and its coupon rate is greater than its required rate of return (E) The face value of the bond is greater than its market value and its coupon rate is equal to its required rate of return