Question

In: Accounting

Yan Yan Corp. has a $2,000 par value bond outstanding with a coupon rate of 4.9%...

Yan Yan Corp. has a $2,000 par value bond outstanding with a coupon rate of 4.9% paid semiannually and 13 years to maturity. The yield to maturity is 3.8%. What is the price of the bond?

Solutions

Expert Solution

Price of Bond = $2,224 or $2,224.04

The final answer may vary in 1 or two digits due to round off in PV factors.

Working

Bonds issue price is calculated by ADDING the:
Discounted face value of bonds payable at market rate of interest, and
Discounted Interest payments amount (during the lifetime) at market rate of interest.

.

Annual Rate Applicable rate Face Value $ 2,000
Market Rate 3.80% 1.90% Term (in years) 13
Coupon Rate 4.90% 2.45% Total no. of interest payments 26

.

Calculation of Issue price of Bond
Bond Face Value Market Interest rate (applicable for period/term)
PV of $                 2,000 at 1.90% Interest rate for 26 term payments
PV of $1 0.61302
PV of $                 2,000 = $ 2,000 x 0.61302 = $ 1,226 A
Interest payable per term at 2.45% on $ 2,000
Interest payable per term $ 49
PVAF of 1$ for 1.90% Interest rate for 26 term payments
PVAF of 1$ 20.36762
PV of Interest payments = $ 49 x 20.36762 = $ 998 B
Bond Value (A+B) $ 2,224.04

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