Answer:
The total real return on investment is 5.29%.
Explanation:
Annual Coupon Receipt = 1,000 x 5.8% = $58
We have total receipt from the investment = Coupon receipt for 01 year hodling + Selling price of the bond = 58 + Selling price of the bond
Selling price of the bond = Present value of cash flow generating from bond in 14 years discounted at required return of 5.1% = (58/0.051) x ( 1 - 1.051^-14) + 1,000/1.051^14 = $1,068.85
=> Total receipt from the investment = 58 + 1,068.85 = $1126.85
=> Nominal return from the investment = Total receipt from the investment/ Purchasing price - 1 = 1,126.85/1,030 -1 = 9.40%
=> Actual return on the investment = ( 1 + Nominal return ) / ( 1 + inflation) -1 = 1.0940/ 1.039 - 1 = 5.29%.