Problem bank

Problem 313 of 333MediumCalculusP313

Present value of a growing cash stream

  1. A project pays cash continuously at a rate that grows linearly: at time tt (in years) the rate is tt units per year. Cash is discounted continuously at r=5%r = 5\%.

    • Find the present value of the first 10 years of cash flow.
    • Find the present value if the stream runs forever.