Please shows specific details of calculations. Thanks. 1. Suppose you have a $50,000 commericial mortgage for 30 years (360 monthly payments) at an annualized interest rate of 12% (monthly compounding rate). You have an option to repay the remaining principal and terminate the mortgage loan at the end of the fifth year. What is your month payment, and how much do you need to pay to terminate the mortgage loan at the end of the fifth year?

2. Suppose you have a 30-years mortgage loan with an interest rate of 5% (monthly compounding rate) and monthly mortgage payments of $2,000. Please use a table to decompose your monthly payments in the first and tenth year into interest payments and principal payments.

3. Suppose you have received a $50,000 bank loan with a interest rate of 10% and a time to maturity of 5 years. Suppose the loans is amortized by making equal annual payment. What is the interest paid and the principle paid by the end of the third year, respectively?

4. This morning, your grandmother bought you an annuity trust that will provide annual payments for 20 years. Based on the contract, you will receive the first payment 5 years from now in the amount of $3,000. Every year after that, the payment amount will increase by 4%. Suppose the annuity trust can generate a annual return of 8%. How much do your grandmother pay for this annuity trust?

5. The 15-year corporate bond issued by Wells Delivery Corp. has a face value of $1,000, a coupon rate of 6% (paid semiannually). What is the percentage change in the bond price if the market yield to maturity rise to 5.7 percent from the current rate of 5.5 percent? [Hint: calculate bond prices with 5.5 percent and 5.7 percent, then compute the percentage change in two prices.]

6. Green FinTechnoloy Cop. launched its IPO last month, and just paid its annual dividend of $0.5 per share. As a rising star, it is expected to increase its annual dividend by 10 perent a year for the next five years, and then maintain a relatively stable groth rate of 2 percent per year thereafter. Suppose the appropriate required rate of return is 15 percent. Please estimate the stock price based on the dividend discount model.