Answer:
The present value of this cash flow will be decreased following the increase in the interest rate.
Explanation:
We have the formula for calculating present value is:
PV = FV / ( 1+r)^n
where:
PV is the present value
FV is the future value which is $10,000 in the described question
r is the discount rate which is the interest rate
n is the number of discounting periods which is one year in the described question
So, once the interest rate increase, the denominator - (1+r)^n - will increase. Then, if FV remains constant, PV will decrease.
So, The present value of this cash flow will be decreased following the increase in the interest rate.