Question

A real estate development company wants to issue a 10-year corporate bond worth € 10 million....

A real estate development company wants to issue a 10-year corporate bond worth € 10 million. The company has the following options:
a) To make the issue of corporate bonds by public offering. In this case the bond will be sold at par, the yield is 8%, the cost of the contractor is 0.5% of the nominal value of the bond and we assume that there are no other costs associated with its issue.
b) To make the issue of the corporate bond by private placement. In this case it will be sold at par, its yield is 8.125% and the cost of the private placement is assumed to be 20,000 €.
If the discount rate is 8% and the coupon is paid annually, compare the two above scenarios and show which of the two options the company would prefer.

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Answer #1

Comparing the Two Options from the scenarios:

OPTION 1).

Value of Bond = € 10 million

Cost of contractor = 0.5%

Net proceeds of Bond = € 10 million(1-.005)

= € 9.95 million

Bond Yield = 8%

Interest amount annually= € 10 million*8%: = € 0.8 million

Discount Rate= 8%

Calculating the Present Value of Outflow of Interest and Principal of Bond (€ in million):

08 0.8 0.8 PV = (1+0.08)1 (1+0.08)2 + (1+0.08)3 0.8 (1 +0.08)10 + (1+0.08)10 0.8 (1 +0.08)9 10

PV= € 9.998 million

Net Outflow = PV of Outflow- Initial Inflow or proceeds

= € 9.998 million - € 9.95 million

= € 48000

OPTION 2).

Value of Bond = € 10 million

Cost of Private Placement = € 20000

Net proceeds of Bond = € 10 million -€ 20000

= € 9.98 million

Bond Yield = 8.125%

Interest amount annually= € 10 million*8.125%: = € 0.8125 million

Discount Rate= 8%

Calculating the Present Value of Outflow of Interest and Principal of Bond (€ in million):

0.8.125 0.8125 0.8125 PV = (1 +0.08)1 (1+0.08)2 + (1 +0.08)3 0.8125 10 (1 +0.08)10 (1 +0.08)10 0.8125 (1 + 0.08)9

PV= € 10.08 million

Net Outflow = PV of Outflow- Initial Inflow or proceeds

= € 10.08 million - € 9.98 million

= € 100,000

Since, Net outflow of Bonds in Option 1 is € 48000 while of Option 2 is € 100,000.

So, Company should go for Option 1 as less outflow of bonds.

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