. suppose you wanted to lock in an interest rate for an investment that begins in one year and matures in five years. what rate would you obtain if there are no arbitrage opportunities?

Respuesta :

Let's take a look at a 5% corporate bond with five years until maturity and the usual semi-annual coupon payments. The bond currently yields 3% each year (or 1.5% every other year, if compounding effects are ignored to keep things simple). The bond costs $109.22, which is also its present value.

On an Excel spreadsheet, the PV function can be used to quickly compute the present value, as

=PV(1.5%,10,-2.50,-100). Alternatively, enter i=1.5%, n=10, PMT=-2.5, FV=-100 into a financial calculator.

After that, an arbitrager would sell the bond to Trader Tom for $105, while concurrently purchasing it elsewhere for $104.49, earning $0.51 in risk-free profit for every $100 of principle. The chance for an arbitrage would vanish shortly either because Trader Tom would realise his mistake and re-price the bond yield at 4%.

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