Q1)A homeowner has $200,000 home with a 20-year mortgage, paid monthly at 7.25% nominal annual rate. After five years he receives $50,000 as an inheritance. If he pays this $50,000 toward his mortgage along with his regular payment, by approximately how many years will it reduce the amount of time it takes him to pay off his mortgage?Q2)Matthew saves $12,000 at the end of each month for the next 25 years, after which he retires. During the first five years of retirement, he withdraws $8000 at the start of each month, after which he dies.His son, Sean, inherits the remainder of Matthew’s savings. It is further stipulated in Matthew’s will that Sean will be paid the money in equal payments, at the start of every month, for the next 20 years. Given a fixed interest rate of 9% p.a., calculate the monthly payment that Sean will receive.Q3)A company is expected to pay a dividend of $1.25 per share every year indefinitely and the equity required return (cost of capital) for the company is 7.5%. What price would an investor be expected to pay per share ten years in the future?Q4)Assume that ABC Ltd has a current growth rate of 10% p.a. that is expected to be maintained for only another three years and then fall to 5% p.a., where it is expected to remain indefinitely. Given that the required return on ABC’s shares is 12% and that the last dividend of 50 cents has just been paid, the price of ABC’s shares will be?Q5)Yesterday, Hansen Delivery paid its annual dividend of $1.10 per share. The company has been reducing the dividends by 12 percent each year. How much are you willing to pay to purchase shares in this company if your required rate of return is 15 percent?
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