A customer of the bank, Raj Kami, wants to deposit $100,000 in a savings account that pays a nominal rate of 8%.

a. Raj Kami wants to buy a car, and a local bank will lend him $20,000. The loan would be fully amortized over 5 years (60 months), and the nominal interest rate would be 12%, with interest paid monthly. What is the monthly loan payment? What is the loans effective (or equivalent) rate EFF?

b. What is the present value of $100,000 to be received in 4 years if the appropriate interest rate is 5%?

c. Jackson Corporations bonds have 10 years remaining to maturity. Interest is paid annually, the bonds have a $1,000 par value, and the coupon interest rate is 9%. The bonds have a yield to maturity of 10%. What is the current market price of these bonds?

d. Renfro Rentals has issued bonds that have a 10% coupon rate, payable semiannually. The bonds mature in 10 years, have a face value of $1,000, and a yield to maturity of 9%. What is the price of the bonds?

e.Wilson Wonderss bonds have 10 years remaining to maturity. Interest is paid annually, the bonds have a $1,000 par value, and the coupon interest rate is 10%. The bonds sell at a price of $900. What is their yield to maturity?

f. What is the present value of a perpetuity that pays $1,000 per year if the appropriate interest rate is 5%?

Please, write and explain all details.