Question

In: Finance

Use the bond term's below to answer the question Maturity 7 years Coupon Rate 4% Face...

Use the bond term's below to answer the question
Maturity 7 years
Coupon Rate 4%
Face value $1,000
Annual Coupons
YTM 3% (interest rate)

Assuming the YTM remains constant throughout the bond's life, what is the bond's price in year 4?

A) $1,062.30 B) $1,028.29 C) $1,083.55 D)$1,008.12

Solutions

Expert Solution

The price of the Bond in Year 4

  • The Price of the Bond is the Present Value of the Coupon Payments plus the Present Value of the Face Value/Par Value.
  • The Price of the Bond is normally calculated either by using EXCEL Functions or by using Financial Calculator.
  • Here, the calculation of the Bond Price using financial calculator is as follows

Variables

Financial Calculator Keys

Figures

Par Value/Face Value of the Bond [$1,000]

FV

1,000

Coupon Amount [$1,000 x 4.00%]

PMT

40

Market Interest Rate or Yield to maturity on the Bond [3.00%]

1/Y

3

Maturity Period/Time to Maturity [7 Years – 4 Years]

N

3

Bond Price/Current market price of the Bond

PV

?

Here, we need to set the above key variables into the financial calculator to find out the Price of the Bond. After entering the above keys in the financial calculator, we get the Price of the Bond (PV) = $1,028.29.

“Hence, the price of the Bond in Year 4 will be $1,028.29”


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