Keenan Industries has a bond outstanding with 15 years to maturity, an 8.25% nominal coupon, semiannual payments, and a $1,000 par value. The bond has a 6.50% nominal yield to maturity, but it can be called in 6 years at a price of $1,120. What is the bond’s nominal yield to call? 6.20% 6.53% 6.85% 7.20% 7.55%

6.52%

Explanation:

For computing the nominal yield to call, first we have to find out the present value by applying the present value formula which is shown in the attachment below:

Future value = $1,000

Rate of interest = 6.50% ÷ 2 = 3.25%

NPER = 15 years  × 2 = 30 years

PMT = $1,000 × 8.25% ÷ 2  = $41.25

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after solving this, the present value is $1,166.09

Now to determine the yield to call we use the RATE formula that is shown in the attachment below:

Present value = $1,166.09

Future value or Face value = $1,120

PMT = $1,000 × 8.25% ÷ 2  = $41.25

NPER = 6 years × 2 = 12 years

The formula is shown below:  

= Rate(NPER;PMT;-PV;FV;type)  

The present value come in negative  

So, after solving this, the bond nominal yield to call is

= 3.26% × 2 years

= 6.52%

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