The British government has a consol bond outstanding paying £300 per year forever. Assume the current interest rate is 4% per year.

What is the value of the bond immediately before a payment is made?
Ans: The value of the bond is equal to the present value of the cash flows. The cash flows are the perpetuity plus the payment that will be received immediately.
PV = 100/0.04 + 100 = £2,600

My question is what 100 comes from? Should it not be 300?

Respuesta :

The value of the bond immediately before a payment is made is  £7500 at the nterest rate is 4% per year.

The Interest rate is the quantity a lender prices a borrower and is a percentage of the fundamental quantity loaned. The interest price on a mortgage is normally noted on an annual basis called the once-a-year percent charge.

The value of the bond immediately after the payment is made can be calculated by the following formula.

= Cash Flow per year / Interest rate

= 300 / 4%

= 300 / 0.04

= £7500

The value of the bond immediately before the payment is made can be calculated by the following formula.

= Cash Flow per year + [Cash Flow per year / Interest rate]

= 300 + [300 / 4%]

= 300 + 7500

= £7800

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