Answer to Question #273929 in Civil and Environmental Engineering for Alan Enrico V Tuib

Question

Assume the inflation rate is 4% per year and the market interest rate is 5% above the inflation rate.

Determine (a) the number of constant-value dollars 5 years in the future that is equivalent to $30,000

now and (b) the number of future dollars that will be equivalent to $30,000 now.

Answer 1

The market interest rate is the rate of interest prevailing which is being offered on cash deposits. 

Using the formula,we find out nominal rate of interest,

nr=rr+i+(rr×i)

=12%+5%+(12×5)%

=17.6% or 0.176 

  

(where nr=nominal rate,rr=real rate of interest,i=inflation rate)

Using the formula,we find out future value,

FV=PV(1+r)

F=2000/(1+0.176)

Hence,correct option is B.