Question

In: Economics

If a $1,000 face-value discount bond maturing in one year has an yield of 5%, then...

If a $1,000 face-value discount bond maturing in one year has an yield of 5%, then its price is??
plz solve it correctly and ASAP only right answer will be rated.. don't waste my question if you have no knowledge about it

Solutions

Expert Solution

Answer :

Face value of the discount bond = F = $1000

Years to maturity = n = 1 year

Current Price = P

Yield to maturity = Y = 5% = 0.05

Yield of a discount bond can be calculated by the formula :

Yield to maturity = (Face value / Current Price)^(1 / Years to maturity) - 1

0.05 = ($1000 / P)^(1 / 1) - 1

0.05 + 1 = $1000 / P

1.05 = $1000 / P

P = $1000 / 1.05 = $952.38

Thus, $952.38 is the current price of the discount bond.


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