Final answer:
To calculate the project's NPV with the new required rate of return of 12%, we must discount the projected cash flows at this higher rate. Unfortunately, without the initial NPV at the 10.5% rate, the exact change in NPV due to the interest rate rise cannot be determined.
Step-by-step explanation:
The project's Net Present Value (NPV) using the new required rate of return of 12% needs to be calculated by discounting the projected free cash flows. Initially, with a rate of 10.5%, the NPV was calculated (though not displayed in the question). It is understood that when the required rate of return increases due to higher interest rates, the NPV of a project typically decreases because future cash flows are discounted at a higher rate, making them less valuable in today's terms.
Unfortunately, without the initial NPV at 10.5%, we cannot provide the exact decrease in NPV. However, we can say that if the interest rates rise, this increase is reflected in a higher discount rate, leading to a lower overall NPV for the project.