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Consider a newly issued TIPS bond with a 3-year maturity, par value of $1,000 an

ID: 2783362 • Letter: C

Question

Consider a newly issued TIPS bond with a 3-year maturity, par value of $1,000 and coupon rate of 5%. Assume annual coupon payments.

Time

Inflation in

Year just ended

Par Value

Coupon

Payment   +

Principal

Re

Payment =

Total Payment

0

$1000.00

1

3%

$1030.00

$51.50

0

$51.50

2

2%

$1050.60

$52.53

0

$52.53

3

4%

$1092.62

$54.63

$1092.62

$1,147.25

What is the real rate of return on the TIPS bond in the first year?

PLEASE SHOW ALL WORK FOR THUMBS UP

Time

Inflation in

Year just ended

Par Value

Coupon

Payment   +

Principal

Re

Payment =

Total Payment

0

$1000.00

1

3%

$1030.00

$51.50

0

$51.50

2

2%

$1050.60

$52.53

0

$52.53

3

4%

$1092.62

$54.63

$1092.62

$1,147.25

Explanation / Answer

Real Rate of return = Nominal Rate of return - Inflation

For the first year, Nominal Returns = 51.5 / 1000 = 5.15% and Inflation = 3%

=> Real rate of return for the first year = 5.15% - 3% = 2.15%

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