Question

You are an investment manager and one of your clients is a famous soccer player. She is promised to be paid $5million three years from now. What is the present value of this cash flow today

Answer 1

$4,153,268.86

Step-by-step explanation:

The below is missing from the question:

Your discount rate for real cash flows is 5% APR, compounded monthly and you are expecting inflation of 1.2% per year (APR, annual compounding).

We need to convert the real interest rate to an effective annual rate as shown thus:

EAR=(1+APR/n)^n-1

APR=5%

number of times interest is compounded annually=12

EAR=(1+5%/12)^12-1

EAR=5.12%

Nominal Discount rate = [(1+ Real Discount rate)*(1+Inflation Rate)] - 1

Nominal Discount rate =(1+5.12%)*(1+1.2%)-1

Nominal discount rate=6.38%

Present value=future value/(1+nominal discount rate)^3

future value=$5,000,0000

nominal discount rate=6.38%

n=3 years

PV=$5,000,000/(1+6.38%)^3

PV= $4,153,268.86