It looks like part of your question is missing, specifically the annual rate (interest rate) you think is appropriate. To calculate the most you would be willing to pay for the investment today (the present value), you need:
- The future value (FV) = $10,000
- The number of years (n) = 10
- The annual interest rate (r) compounded annually
The formula to calculate the present value (PV) is:
PV=FV(1+r)nPV=\frac{FV}{(1+r)^n}PV=(1+r)nFV
If you provide the annual interest rate, I can calculate the exact amount for you.
Example Calculation
If you think a 5% annual rate is appropriate, then:
PV=10,000(1+0.05)10=10,0001.6289≈6139PV=\frac{10,000}{(1+0.05)^{10}}=\frac{10,000}{1.6289}\approx 6139PV=(1+0.05)1010,000=1.628910,000≈6139
So, you would be willing to pay approximately $6,139 today. Please provide the interest rate to get your specific answer!