question archive Consider a 5% fixed-rate, 5-year, interest-only, non-prepayable loan of $100M

Consider a 5% fixed-rate, 5-year, interest-only, non-prepayable loan of $100M

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Consider a 5% fixed-rate, 5-year, interest-only, non-prepayable loan of $100M. If the market interest rate remains at 5% after origination, the market value of the loan after 3 years is:

 

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The market value of the loan after years = $101,666,666.67

Step-by-step explanation

FV = PV(1+(r/n))

PV = $100M

r =5% or 0.05

n = 3 years

Therefore

FV =100000000(1+(0.05/3))3

FV = 101,666,666.67

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