Question

Jenny Enterprises has just entered a lease agreement for a new manufacturing facility. Under the terms of the agreement, the company agreed to pay rent of $12,500 per month for the next 10 years with the first payment due today. If the APR is 6.48 percent compounded monthly, what is the value of the payments today

Answer 1

$1,107,793.41

Step-by-step explanation:

The value of the payment today can be ascertained using the present value of an annuity due formula since the first payment is immediate as shown thus:

PV=monthly payment*(1-(1+r)^-n/r*(1+r)

monthly payment=$12,500

r=monthly interest rate=6.48%/12=0.0054

n=number of monthly payments in 10 year=10*12=120

PV=$12,500*(1-(1+0.0054)^-120/0.0054*(1+0.0054)

PV=$12,500*(1-(1.0054)^-120/0.0054*(1.0054)

PV=$12,500*(1-0.524003627 )/0.0054*1.0054

PV=$12,500*0.475996373 /0.0054*1.0054

PV=$1,107,793.41