A 5-year bond with a face value of $1,000 and a coupon rate of 4% has just been issued at a discounted price of $915.80.

(a) Prove that the yield to maturity is 6%.

(b) Calculate the current yield for year 1 and explain why this differs from the yield to maturity of 6%.

(c) Assuming the price of the bond at the end of the year has risen to $932, calculate the rate of return in year 1 and explain why it differs from the current yield. please help