In: Finance
What equal payments in 3 years and 5 years would replace payments of $40,000 and $97,500 in 6 years and 9 years, respectively? Assume money can earn 3.66% compounded monthly. Use 9 years as the focal date.
Payment in 3rd year shall be equivalent to payment in 6th year. We need to present value 6th year payment.
Payment in 3rd year = 40,000 * PVIF (Monthly rate, Number of months )
= 40,000 * PVIF (3.66%/12, 3 * 12 )
= 40,000 * PVIF (0.305%, 36)
= 40,000 * [ 1/1.00305]36
= 40000 * 0.8962
= $ 35,846.52
Payment in 6th year shall be equivalent to payment in 9th year. We need to present value 9th year payment.
Payment in 3rd year = 97500 * PVIF (Monthly rate, Number of months )
= 97500 * PVIF (3.66%/12, 3 * 12 )
= 97500 * PVIF (0.305%, 36)
= 97500 * [ 1/1.00305]36
= 97500 * 0.8962
= $ 97375.89