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

$4,153,268.86

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  

answer: qué lástima, pero no podré ir.

explanation: the expression "qué lástima" means "what a pity" and indicates disgust, because she would like to go but she can't go.

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month 1 start amount =$3287.90 interest=(3287.90x0.0145/12)3.97 total to pay=$3291.81 paid =$1200 balance =$2,091.87

month 2 starting amount= $2,091.87 interest =$25.28 total to pay =$2117.15 paid =$1200 balance $917.15

month 3 starting amount =$917.15 interest =$11.08 total to pay =$928.23 paid =$928.23 balance =$0 total to pay 1200+1200+928.23 = $3328.23 it will take 3 months to pay a total of $3328.23