Refer to the table below and calculate both the real and nominal rates of return on the TIPS bond in the second and third years. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Principal and Interest Payments for a Treasury Inflation Protected
Security
Time Inflation in Year Just Ended Par Value Coupon Payment + Principal Repayment = Total Payment
0 $1,000.00
1 3% $1,030.00 $51.50 0 $51.50
2 3% $1,060.90 $53.05 0 $53.05
3 1% $1,071.51 $53.58 $1,071.51 $1,125.08

Second year :

Nominal rate = 8.15%

Real rate = 5%

Third year :

Nominal rate = 6.00%

Real rate = 4.95%

Explanation:

Nominal return =(Interest + price change) / initial price

Real rate of return = (1 + nominal rate) / (1 + inflation) - 1

Second year:

Nominal return = [53.05 + (1060.90 - 1030)]÷ 1030

(53.05 + 30.90) ÷ 1030 = 0.0815 = 8.15%

Real rate

[(1 + 0.0815) ÷ (1 + 0.03)] - 1

(1.0815 ÷ 1.03) - 1 = 0.05 = 5%

THIRD YEAR:

Nominal return = [53.58 + (1071.51 - 1060.90)]÷ 1060.90

(53.05 + 10.61) ÷ 1060.90 = 0.060 = 6.00%

Real rate

[(1 + 0.060) ÷ (1 + 0.01)] - 1

(1.060 ÷ 1.01) - 1 = 0.0495 = 4.95%

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