In: Finance
Please show how to write the formulas for these in Excel. That is what the assignment requires and I don't know how to do it. Thank you! All are in column D. Cell numbers that matter are noted on the left.
Suppose the risk-free interest rate is 4%. | |||||
a. | Having $200 today is equivalent to having what amount in one year? | ||||
b. | Having $200 in one year is equivalent to having what amount today? | ||||
c. | Which would you prefer, $200 today or $200 in one year? | ||||
D | |||||
9 | Interest rate | 4.00% | |||
11 | a. | Having $200 today is equivalent to having what amount in one year? | |||
13 | Amount today | $200.00 | |||
15 | Value in 1 year | ||||
17 | b. | Having $200 in one year is equivalent to having what amount today? | |||
19 | Amount in 1 year | $200.00 | |||
21 | Value today | ||||
c. | Which would you prefer, $200 today or $200 in one year? | ||||
25 | I would prefer $200 | . | |||
For part a
In order to calculate the future value of 200 (today) we will use the below formula:
FV = PV*(1+r)n
where PV = 200, r = 4% and n = 1
The formula can be seen in the screenshot below:
D15 -> =D13*(1+D9)^1
For part b and c.
For part b we will use the discounting formula:
PV = FV/(1+r)n
where FV = 200, r = 4% and n = 1
The formula can be seen in the screenshot below:
D21 -> =D19/(1+D9)^1
For part c -> we know that the present value of 200 received after 1 year is 192.307 which is less than 200. Therefore, we will prefer 200 today.